332354 + Interview Questions in Secondary School in Math Page 113 InterviewSolution

5601.	If y = a^(1/1-log x base a ) and z = a^(1/1-log y base a), find x
Answer» ANSWER: what is your QUESTION PLS WRITE PROPER question

5601.

If y = a^(1/1-log x base a ) and z = a^(1/1-log y base a), find x

Answer»

ANSWER:

what is your QUESTION PLS WRITE PROPER question

Discussion

5602.	Calculate the rank correlation coefficient. X : 21 36 42 37 25 Y : 47 40 37 42 43
Answer» Step-by-step EXPLANATION: :#:#:#-;::::vdffv:-\| &₹](-₹#;!?

5602.

Calculate the rank correlation coefficient. X : 21 36 42 37 25 Y : 47 40 37 42 43

Answer»

Step-by-step EXPLANATION:

:#:#:#-;::::vdffv:-|

&₹](-₹#;!?

Discussion

5603.	if two dice are thrown, the probability that at least one of the dice shows a number greater than or equal to 4is
Answer» Answer: hi there is no SIR please TELL BROTHER to WATCH

5603.

if two dice are thrown, the probability that at least one of the dice shows a number greater than or equal to 4is

Answer»

Answer:

hi there is no SIR please TELL BROTHER to WATCH

Discussion

5604.	In A diary, 448 liters of milk is sold every week. How much will be sold in 4 weeks?Please give the answer
Answer» Capacity of MILK sold every week = 448litres Capacity of milk sold in 4 WEEKS = 448×4 = 1792litres So in 4 weeks 1792 LITRES of milk will be sold. *PLEASE* MARK THIS ANSWER** AS BRAINLIEST

5604.

In A diary, 448 liters of milk is sold every week. How much will be sold in 4 weeks?Please give the answer

Answer»

Capacity of MILK sold every week = 448litres

Capacity of milk sold in 4 WEEKS = 448×4

= 1792litres

So in 4 weeks 1792 LITRES of milk will be sold.

PLEASE MARK THIS ANSWER AS BRAINLIEST

Discussion

5605.	Cardinal number A=(natural number less than 10)
Answer» ANSWER: A=(natural numbers less than 10) A=(1,2,3,4,5,6,7,8,9) CARDINAL number of A is 9 because cardinal number means the number of elements in a SET. So,the cardinal number of A is 9 Hope it's helpful!!!

5605.

Cardinal number A=(natural number less than 10)

Answer»

ANSWER:

A=(natural numbers less than 10)

A=(1,2,3,4,5,6,7,8,9)

CARDINAL number of A is 9 because cardinal number means the number of elements in a SET.

So,the cardinal number of A is 9

Hope it's helpful!!!

Discussion

5606.	a jet of water moving at 12 m/s impinges on a concave shaped vane to deflect the jet through 120 degree when stationary, the vane is moving at 5 m/s. find the angle of jet so that there is no shock at inlet
Answer» ANSWER: BHUMIKA NANA and PAPA JOHNS and

5606.

a jet of water moving at 12 m/s impinges on a concave shaped vane to deflect the jet through 120 degree when stationary, the vane is moving at 5 m/s. find the angle of jet so that there is no shock at inlet

Answer»

ANSWER:

BHUMIKA NANA and PAPA JOHNS and

Discussion

5607.	संख्यारेषेवर – √2 ही संख्या दाखवा
Answer» ANSWER: सोडवा. 1) संख्यारेषेवर √2 ही संख्या दाखवा. ( 8 गुण ) 2) काटकोन त्रिकोणाच्या दोन लघुकोनांची मापे y व 2Y आहेत. तर त्या दोन को 37/104 3) n a । m

5607.

संख्यारेषेवर – √2 ही संख्या दाखवा

Answer»

ANSWER:

सोडवा.

1) संख्यारेषेवर √2 ही संख्या दाखवा.

( 8 गुण )

2) काटकोन त्रिकोणाच्या दोन लघुकोनांची मापे y व 2Y आहेत. तर त्या दोन को 37/104

3)

n

a

।

m

Discussion

5608.	Find the sum: 1) -1/3+-4/9+-5/12+1
Answer» $\frac{ - 1}{3} + \frac{ - 4}{9} + \frac{ - 5}{12} + 1$ $= \frac{ - 12 - 16 - 15 + 36}{36}$ $= \frac{36 - 43}{36}$ $= \blue{\frac{7}{36} }$

5608.

Find the sum: 1) -1/3+-4/9+-5/12+1

Answer»

$\frac{ - 1}{3} + \frac{ - 4}{9} + \frac{ - 5}{12} + 1$

$= \frac{ - 12 - 16 - 15 + 36}{36}$

$= \frac{36 - 43}{36}$

$= \blue{\frac{7}{36} }$

Discussion

5609.	(−4) − (−8) − 2What will be the answer?
Answer» It’s 2 INTEGERS RULE

Discussion

5610.	College madhe dadi marne savad lekhan
Answer» ANSWER: College madhe dadi MARNE SAVAD lekhan

5610.

College madhe dadi marne savad lekhan

Answer»

ANSWER:

College madhe dadi MARNE SAVAD lekhan

Discussion

5611.	What is the value of the expression -16+12
Answer» ANSWER: -4 Step-by-step EXPLANATION: -16 + 12 = 12 - 16 = -4

5611.

What is the value of the expression -16+12

Answer»

ANSWER:

-4

Step-by-step EXPLANATION:

-16 + 12 = 12 - 16 = -4

Discussion

5612.	Make maximum four digit numbers with out repeating the digits using the following numbers=5,6,7,8
Answer» Your ANSWER is 8765. I HOPE it HELPS

Discussion

5613.	Find the smallest number by which 9583 must be divided so that it becomes a perfect square.
Answer» This is a ANS=567 hiiiiii

5613.

Find the smallest number by which 9583 must be divided so that it becomes a perfect square.

Answer»

This is a ANS=567

hiiiiii

Discussion

5614.	What are two rational number between 1/8 and 2/9
Answer» ANSWER: hope it is HELPFUL to you i am not able to send this pic in ONE so i am sending TWO pic Step-by-step explanation: 1/8×9/9 = 9/72 2/9 × 8/8 = 16/72

5614.

What are two rational number between 1/8 and 2/9

Answer»

ANSWER:

hope it is HELPFUL to you

i am not able to send this pic in ONE so i am sending TWO pic

Step-by-step explanation:

1/8×9/9 = 9/72

2/9 × 8/8 = 16/72

Discussion

5615.	Safia bought 3 books and 5 pensfor $60.each book costs 5 times as much as the pen.find the cost of 2 books and 7 pens.
Answer» MERCURY MARS EARTH mars

Discussion

5616.	Finding x2 from given x = 3
Answer» ANSWER: answer = 6 Step-by-step EXPLANATION: x VALUE is 3 , x=3 x2 (3)2 6 answer = 6

5616.

Finding x2 from given x = 3

Answer»

ANSWER:

answer = 6

Step-by-step EXPLANATION:

x VALUE is 3 , x=3

x2

(3)2

6

answer = 6

Discussion

5617.	The mean of 40 items is 35 and if each item is multiplied by 'a' then the new mean will be ?
Answer» Answer: your video will resume after the video here they it NEEDS to do it is a GOOD TIME to GET to know about this'll

5617.

The mean of 40 items is 35 and if each item is multiplied by 'a' then the new mean will be ?

Answer»

Answer:

your video will resume after the video here they it NEEDS to do it is a GOOD TIME to GET to know about this'll

Discussion

5618.	Find 6 rational numbers between 1/9 and 1/4
Answer» ANSWER: SORRY Step-by-step EXPLANATION: MUJHE nayim BATA eheuwj hdwaanjwwh

5618.

Find 6 rational numbers between 1/9 and 1/4

Answer»

ANSWER:

SORRY

Step-by-step EXPLANATION:

MUJHE nayim BATA eheuwj hdwaanjwwh

Discussion

5619.	The product of two rational numbers is -9/16 . if one number is -4/3 then the other number is?
Answer» Step-by-step EXPLANATION: LET one number be =-10 other =x product of two RATIONAL numbers=-7 by the problem x*-10=-7 x= -7/-10 x=7/10

5619.

The product of two rational numbers is -9/16 . if one number is -4/3 then the other number is?

Answer»

Step-by-step EXPLANATION:

LET one number be =-10

other =x

product of two RATIONAL numbers=-7

by the problem

x*-10=-7

x= -7/-10

x=7/10

Discussion

5620.	If A and B are two open sets then(a) A∩Bis not open(b) A∩B may or may not be open(c) A∩B is open (d) None
Answer» ANSWER: C. A and B are both open. hope it HELPS.

5620.

If A and B are two open sets then(a) A∩Bis not open(b) A∩B may or may not be open(c) A∩B is open (d) None

Answer»

ANSWER:

C. A and B are both open.

hope it HELPS.

Discussion

5621.	The sum of three consecutive multiples of 9 is 999 . The smallest multiple of 9 is
Answer» Answer: first and learn from others and GROW and develop a and learn and join the AFRICAN Union the CONSUMER and join us Step-by-step explanation: GOOD ☺️☺️ and learn from others the African Union and learn

5621.

The sum of three consecutive multiples of 9 is 999 . The smallest multiple of 9 is

Answer»

Answer:

first and learn from others and GROW and develop a and learn and join the AFRICAN Union the CONSUMER and join us

Step-by-step explanation:

GOOD ☺️☺️ and learn from others the African Union and learn

Discussion

5622.	Factorise the following a³-a²b
Answer» ANSWER: $\bold\green{problem = }\boxed {\pink{a {}^{3} - a {}^{2} b}}$ so , just TAKE the "a²" COMMON Just take a² common, so, $\bold \red{a {}^{3} - a {}^{2}b \: } \\ \bold \red{ = a {}^{2} (a {}^{} - b) }$ HOPE this will HELP you

5622.

Factorise the following a³-a²b

Answer»

ANSWER:

$\bold\green{problem = }\boxed {\pink{a {}^{3} - a {}^{2} b}}$

so , just TAKE the "a²" COMMON

Just take a² common, so,

$\bold \red{a {}^{3} - a {}^{2}b \: } \\ \bold \red{ = a {}^{2} (a {}^{} - b) }$

HOPE this will HELP you

Discussion

5623.	Use synthetic division to find the values of "l" and "m",if (x-1) and (x+1) are the factors of the polynomial x^3-3lx^3+2mx+6..
Answer» ANSWER: ANS -2 Step-by-step explanation: HOPE it helps you mark me BRAINLIST

5623.

Use synthetic division to find the values of "l" and "m",if (x-1) and (x+1) are the factors of the polynomial x^3-3lx^3+2mx+6..

Answer»

ANSWER:

ANS -2

Step-by-step explanation:

HOPE it helps you mark me BRAINLIST

Discussion

5624.	2√2x³*3√3y³ factorise using identity
Answer» Answer:Factorise ::: 2√2x³+3√3y³+√5(5 -3√6xy ) PLEASE as fast as POSSIBLE Tomorrow math exam - MATHS - Polynomials. Step-by-step EXPLANATION:

5624.

2√2x³*3√3y³ factorise using identity

Answer»

Answer:Factorise ::: 2√2x³+3√3y³+√5(5 -3√6xy ) PLEASE as fast as POSSIBLE Tomorrow math exam - MATHS - Polynomials.

Step-by-step EXPLANATION:

Discussion

5625.	Examine rational or irrational (with reoson) (2+v2)(2-v2)
Answer» ANSWER: KUCH aur saval pucho NAHI PATA maths

5625.

Examine rational or irrational (with reoson) (2+v2)(2-v2)

Answer»

ANSWER:

KUCH aur saval pucho NAHI PATA maths

Discussion

5626.	Mr. Gupta opened a recurring deposit account in a bank. He deposited ₹ 2500 per month for two years. At the time of maturity he got ₹ 67500. Find:i) the total interest earned by Mr. Gupta. ii) the rate of interest per annum.
Answer» Step-by-step explanation: Mr. Gupta opened a RECURRING deposit account in a bank. He DEPOSITED ₹ 2500 per month for two years. At the TIME of maturity he got ₹ 67500. Find: i) the total INTEREST earned by Mr. Gupta. ii) the rate of interest per annum.

5626.

Mr. Gupta opened a recurring deposit account in a bank. He deposited ₹ 2500 per month for two years. At the time of maturity he got ₹ 67500. Find:i) the total interest earned by Mr. Gupta. ii) the rate of interest per annum.

Answer»

Step-by-step explanation:

Mr. Gupta opened a RECURRING deposit account in a bank. He DEPOSITED ₹ 2500 per month for two years. At the TIME of maturity he got ₹ 67500. Find:

i) the total INTEREST earned by Mr. Gupta.

ii) the rate of interest per annum.

Discussion

5627.	Please send it's urgent
Answer» ANSWER: what is this PLEASE CLICK PHOTO PROPERLY

5627.

Please send it's urgent

Answer»

ANSWER:

what is this PLEASE CLICK PHOTO PROPERLY

Discussion

5628.	24+16 =40for integers
Answer» 24+16=40 is WRITE for INTEGERS

Discussion

5629.	A large hall of size 22.4 m by 18.9 m has to be tiled. What is the length of the largest square tile that can be laid?
Answer» Answer: I hope it will help you if CORRECT PLEASE mark me as BRAINLIEST bro Step-by-step EXPLANATION: make me brainliest bro

5629.

A large hall of size 22.4 m by 18.9 m has to be tiled. What is the length of the largest square tile that can be laid?

Answer»

Answer:

I hope it will help you if CORRECT PLEASE mark me as BRAINLIEST bro

Step-by-step EXPLANATION:

make me brainliest bro

Discussion

5630.	Find the value of p if x - 1 is a factor of 2x² + px +√2
Answer» <P>ANSWER: p= -2-root2 Step-by-step explanation: if x-1 is a factor then SUM of COEFFICIENTS of 2x²+px+root2 is 0 HENCE 2+P+ROOT2=0 P=-2-ROOT2 MARK ME AS BRAINLIEST IF U LIKE IT

5630.

Find the value of p if x - 1 is a factor of 2x² + px +√2

Answer»

<P>ANSWER:

p= -2-root2

Step-by-step explanation:

if x-1 is a factor then SUM of COEFFICIENTS of 2x²+px+root2 is 0

HENCE 2+P+ROOT2=0

P=-2-ROOT2

MARK ME AS BRAINLIEST IF U LIKE IT

Discussion

5631.	Ch2 cose + sinin2237 + sin sat sin2774q
Answer» ANSWER: I don't KNOW. it SORRY sorry

5631.

Ch2 cose + sinin2237 + sin sat sin2774q

Answer»

ANSWER:

I don't KNOW. it

SORRY sorry

Discussion

5632.	The sum of first 15 terms of an arithmetic progression is 465 and the sum of first 14 terms of the same arithmetic progression is 406. Then its 15th term is
Answer» ANSWER: 5 is the Answer PLEASE MARK me as BRAINLIST

5632.

The sum of first 15 terms of an arithmetic progression is 465 and the sum of first 14 terms of the same arithmetic progression is 406. Then its 15th term is

Answer»

ANSWER:

5 is the Answer PLEASE MARK me as BRAINLIST

Discussion

5633.	VERIFIED ANSWER IS NEEDEDAn ideal gas expands isothermally from10-3 m3 to 10-2 m3 at 300 K against a constantpressure of 105 Nm-2. The work done on the gas is[NEET-2019 (Odisha)](1) - 900 kJ(2) + 270 kJ(3) - 900 J(4) + 900 kJcan i see the handwriting of both of you
Answer» ANSWER: : WORK done due to change in volume against constant PRESSURE is W = - p(V2-V1) = - 1 x 105 Nm-2 (1 x 10-2- 1 x 10-3)M3 Work done due to change in volume against constant pressure is W = - p(V2-V1) = - 1 x 105 Nm-2 (1 x 10-2- 1 x 10-3)m3

5633.

VERIFIED ANSWER IS NEEDEDAn ideal gas expands isothermally from10-3 m3 to 10-2 m3 at 300 K against a constantpressure of 105 Nm-2. The work done on the gas is[NEET-2019 (Odisha)](1) - 900 kJ(2) + 270 kJ(3) - 900 J(4) + 900 kJcan i see the handwriting of both of you

Answer»

ANSWER:

:

WORK done due to change in volume against constant PRESSURE is

W = - p(V2-V1)

= - 1 x 105 Nm-2 (1 x 10-2- 1 x 10-3)M3

Work done due to change in volume against constant pressure is

W = - p(V2-V1)

= - 1 x 105 Nm-2 (1 x 10-2- 1 x 10-3)m3

Discussion

5634.	(-1)X(-1)X(-1)X....2m times,where m is a natural number is equal to
Answer» It can POSSIBLY done because however 1x1 or -1x-1=1 and this answer will not matter (2m+1) ALSO not matter much the NUMBER which is important is 2 only because -1x-1=1 or(-1)2=1 :2 is even that means answer will COME in +. And answer is 1.

5634.

(-1)X(-1)X(-1)X....2m times,where m is a natural number is equal to

Answer»

It can POSSIBLY done because however 1x1 or -1x-1=1 and this answer will not matter

(2m+1) ALSO not matter much the NUMBER which is important is 2 only because -1x-1=1

or(-1)2=1 :2 is even that means answer will COME in +. And answer is 1.

Discussion

5635.	Sandwich bags come in packets of 12 each ..how many packets you should buy if you need 216 bags
Answer» ANSWER: The answer of this QUESTION is 2592

5635.

Sandwich bags come in packets of 12 each ..how many packets you should buy if you need 216 bags

Answer»

ANSWER:

The answer of this QUESTION is 2592

Discussion

5636.	Verify [-2/9×3/8]+[1/6×12/3] -[1/7×21]
Answer» Answer: like this you have to solve Step-by-step explanation: -2/3 * 3/5 + 5/2 – 3/5 * 1/6 = -2/3 * 3/5 – 3/5 * 1/6 + 5/2 [USING associative property] = 3/5 * (-2/3 – 1/6) + 5/2 [Using distributive property] = 3/5 * {(-4 - 1)/6} + 5/2 [LCM (3, 2) = 6] = 3/5 * (-5/6) + 5/2 = -3/6 + 5/2 = -1/2 + 5/2 = (-1 + 5)/2 = 4/2 = 2

5636.

Verify [-2/9×3/8]+[1/6×12/3] -[1/7×21]

Answer»

Answer:

like this you have to solve

Step-by-step explanation:

-2/3 * 3/5 + 5/2 – 3/5 * 1/6

= -2/3 * 3/5 – 3/5 * 1/6 + 5/2 [USING associative property]

= 3/5 * (-2/3 – 1/6) + 5/2 [Using distributive property]

= 3/5 * {(-4 - 1)/6} + 5/2 [LCM (3, 2) = 6]

= 3/5 * (-5/6) + 5/2

= -3/6 + 5/2

= -1/2 + 5/2

= (-1 + 5)/2

= 4/2

= 2

Discussion

5637.	Find the zeroes of following and verify relation between coefficients and zeroes 4x²+3x-1
Answer» ANSWER: 76 is the Answer PLEASE MARK me as BRAINLIST

5637.

Find the zeroes of following and verify relation between coefficients and zeroes 4x²+3x-1

Answer»

ANSWER:

76 is the Answer PLEASE MARK me as BRAINLIST

Discussion

5638.	Question 1: Choose the correct option from the given options. 1. When two parallel lines intersect at an intersection, one of the pairs of intersecting angles measures 45 तर and the other measures. (A) 350 (B) 450 (C) 1350 (D) 1250 2. When two lines intersect at an intersection of corresponding angles Pairs are formed. (A) 2 (B) 4 ((C) 6 (D) 8 3. When two parallel lines intersect at an intersection, the angle between one pair of inverse angles is 85 तर and the other is measured. (A) 150 (B) 105 ° (C) 950 (D) 850 28/
Answer» ANSWER: Pufpud0us96s96s 3az49yccufvi

5638.

Question 1: Choose the correct option from the given options. 1. When two parallel lines intersect at an intersection, one of the pairs of intersecting angles measures 45 तर and the other measures. (A) 350 (B) 450 (C) 1350 (D) 1250 2. When two lines intersect at an intersection of corresponding angles Pairs are formed. (A) 2 (B) 4 ((C) 6 (D) 8 3. When two parallel lines intersect at an intersection, the angle between one pair of inverse angles is 85 तर and the other is measured. (A) 150 (B) 105 ° (C) 950 (D) 850 28/

Answer»

ANSWER:

Pufpud0us96s96s 3az49yccufvi

Discussion

5639.	3.The interval notation of x≽-1 and x≺ 4 is
Answer» ANSWER: rjdofifif8f7f7f7f8fif8fogigid

5639.

3.The interval notation of x≽-1 and x≺ 4 is

Answer»

ANSWER:

rjdofifif8f7f7f7f8fif8fogigid

Discussion

5640.	If ×/y+y/x =-1 (x,y unequal to 0), the value of X cube - y cube is_____________.
Answer» ANSWER: x³+y³=0 Hope it HELP U...

5640.

If ×/y+y/x =-1 (x,y unequal to 0), the value of X cube - y cube is_____________.

Answer»

ANSWER: x³+y³=0

Hope it HELP U...

Discussion

5641.	A man walks 20 km in 5 hours, how many hours would it take him to walk 32 km?a) 3 hoursb) 4 hoursc) 6 hoursd) 8 hours
Answer» ANSWER: D. ). 8 hours Step-by-step EXPLANATION: PLEASE GIVE brainlist

5641.

A man walks 20 km in 5 hours, how many hours would it take him to walk 32 km?a) 3 hoursb) 4 hoursc) 6 hoursd) 8 hours

Answer»

ANSWER:

D. ). 8 hours

Step-by-step EXPLANATION:

PLEASE GIVE brainlist

Discussion

5642.	Find the zeros of Cubic Polynomial and verify that the relationship between the zeros and the coefficients.Spam = 15 Answers report
Answer» Step-by-step explanation: Given :- 3x³-5x²-11x-3 To find :- Find the zeros of Cubic Polynomial and verify that the RELATIONSHIP between the zeros and the coefficients? Solution :- Finding the zeroes :- Given Cubic Polynomial is 3x³-5x²-11x-3 Let P(x) = 3x³-5x²-11x-3 It can be WRITTEN as => P(x) = 3x³-8x²+3x²-8x-3X-3 => P(x) = 3x³+3x²-8x²-8x-3x-3 => P(x) = 3x²(x+1)-8x(x+1)-3(x+1) => P(x) = (x+1)(3x²-8x-3) => P(x) = (x+1)(3x²-9x+x-3) => P(x) = (x+1)[(3x(x-3)+1(x-3)] => P(x) = (x+1)(x-3)(3x+1) To GET zeroes of P(x) , we write it as P(x) = 0 => P(x) = (x+1)(x-3)(3x+1) = 0 =>x+1 = 0 or x-3 = 0 or 3x+1 = 0 => x = -1 or x = 3 or 3x = -1 => x = -1 or x = 3 or x = -1/3 The zeroes are -1 , -1/3 , 3 Verifying the relationship between the zeroes and the coefficients of P(x):- P(x) = 3x³-5x²-11x-3 On comparing this with the standard Cubic Polynomial ax³+bx²+cx+d then a = 3 b = -5 c = -11 d = -3 The zeroes of P(x) = -1 , -1/3 , 3 Let α = -1 , β = -1/3 and γ = 3 Relation-1:- Sum of the zeroes = α+β+γ => (-1)+(-1/3)+(3) => (-3-1+9)/3 => (9-4)/3 => 5/3 We know that Sum of the zeroes = α+β+γ => -(Coefficient of x²)/Coefficient of x³ => -b/a => -(-5)/3 => 5/3 Therefore, Sum of the zeroes = -b/a Relation -2:- Sum of the product of the two zeroes taken at a time = αβ+βγ+αγ => (-1)(-1/3) + (-1/3)(3) + (3)(-1) => (1/3) + (-1) + (-3) => (1-3-9)/3 => (1-12)/3 => -11/3 We know that αβ+βγ+αγ = Coefficient of x/ Coefficient of x³ => c/a => -11/3 Therefore, Sum of the product of the two zeroes taken at a time = c/a Relation-3:- Product of the zeroes = αβγ => (-1)(-1/3)(3) => (3/3) => 1 We know that Product of the zeroes =αβγ => - Coefficient of x/ Coefficient of x³ => -d/a => -(-3)/3 => 3/3 => 1 Therefore, Product of the zeroes= -d/a Verified the relationship between the zeroes and the coefficients of the given cubic polynomial. Answer:- The zeroes of the given polynomial are -1 , -1/3 and 3 Used formulae:- The standard Cubic Polynomial is ax³+bx²+cx+d Sum of the zeroes =α+β+γ = -(Coefficient of x²)/Coefficient of x³ = -b/a Sum of the product of the two zeroes taken at a time = αβ+βγ+αγ = Coefficient of x/ Coefficient of x³ = c/a Product of the zeroes = αβγ = - Coefficient of x/ Coefficient of x³ = -d/a

5642.

Find the zeros of Cubic Polynomial and verify that the relationship between the zeros and the coefficients.Spam = 15 Answers report

Answer»

Step-by-step explanation:

Given :-

3x³-5x²-11x-3

To find :-

Find the zeros of Cubic Polynomial and verify that the RELATIONSHIP between the zeros and the coefficients?

Solution :-

Finding the zeroes :-

Given Cubic Polynomial is 3x³-5x²-11x-3

Let P(x) = 3x³-5x²-11x-3

It can be WRITTEN as

=> P(x) = 3x³-8x²+3x²-8x-3X-3

=> P(x) = 3x³+3x²-8x²-8x-3x-3

=> P(x) = 3x²(x+1)-8x(x+1)-3(x+1)

=> P(x) = (x+1)(3x²-8x-3)

=> P(x) = (x+1)(3x²-9x+x-3)

=> P(x) = (x+1)[(3x(x-3)+1(x-3)]

=> P(x) = (x+1)(x-3)(3x+1)

To GET zeroes of P(x) , we write it as

P(x) = 0

=> P(x) = (x+1)(x-3)(3x+1) = 0

=>x+1 = 0 or x-3 = 0 or 3x+1 = 0

=> x = -1 or x = 3 or 3x = -1

=> x = -1 or x = 3 or x = -1/3

The zeroes are -1 , -1/3 , 3

Verifying the relationship between the zeroes and the coefficients of P(x):-

P(x) = 3x³-5x²-11x-3

On comparing this with the standard Cubic Polynomial ax³+bx²+cx+d then

a = 3

b = -5

c = -11

d = -3

The zeroes of P(x) = -1 , -1/3 , 3

Let α = -1 , β = -1/3 and γ = 3

Relation-1:-

Sum of the zeroes = α+β+γ

=> (-1)+(-1/3)+(3)

=> (-3-1+9)/3

=> (9-4)/3

=> 5/3

We know that

Sum of the zeroes = α+β+γ

=> -(Coefficient of x²)/Coefficient of x³

=> -b/a

=> -(-5)/3

=> 5/3

Therefore, Sum of the zeroes = -b/a

Relation -2:-

Sum of the product of the two zeroes taken at a time = αβ+βγ+αγ

=> (-1)(-1/3) + (-1/3)(3) + (3)(-1)

=> (1/3) + (-1) + (-3)

=> (1-3-9)/3

=> (1-12)/3

=> -11/3

We know that

αβ+βγ+αγ = Coefficient of x/ Coefficient of x³

=> c/a

=> -11/3

Therefore, Sum of the product of the two zeroes taken at a time = c/a

Relation-3:-

Product of the zeroes = αβγ

=> (-1)(-1/3)(3)

=> (3/3)

=> 1

We know that

Product of the zeroes =αβγ

=> - Coefficient of x/ Coefficient of x³

=> -d/a

=> -(-3)/3

=> 3/3

=> 1

Therefore, Product of the zeroes= -d/a

Verified the relationship between the zeroes and the coefficients of the given cubic polynomial.

Answer:-

The zeroes of the given polynomial are -1 , -1/3 and 3

Used formulae:-

The standard Cubic Polynomial is ax³+bx²+cx+d
Sum of the zeroes =α+β+γ =

-(Coefficient of x²)/Coefficient of x³

= -b/a

Sum of the product of the two zeroes taken at a time = αβ+βγ+αγ = Coefficient of x/ Coefficient of x³

= c/a

Product of the zeroes = αβγ =

- Coefficient of x/ Coefficient of x³

= -d/a

Discussion

5643.	29. The adjacent sides of a parallelogram are 32 cm and 24 cm. If the distance between the longer sides is 17.4 cm, find the distance between the shorter sides.please give correct answer Whose answer is correct, I will put it in brainlistplease fast answer
Answer» Step-by-step explanation: Longer side = 32 cm Shorter side = 24 cm Let the distance between the shorter sides be x cm. Area of a PARALLELOGRAM = Longer side x Distance between the longer sides = Shorter side x Distance between the shorter sides HEIGHT of the parallelogram is TWICE the base Height = 2b m Area of a parallelogram = Base x Height

5643.

29. The adjacent sides of a parallelogram are 32 cm and 24 cm. If the distance between the longer sides is 17.4 cm, find the distance between the shorter sides.please give correct answer Whose answer is correct, I will put it in brainlistplease fast answer

Answer»

Step-by-step explanation:

Longer side = 32 cm

Shorter side = 24 cm

Let the distance between the shorter sides be x cm.

Area of a PARALLELOGRAM = Longer side x Distance between the longer sides = Shorter side x Distance between the shorter sides

HEIGHT of the parallelogram is TWICE the base

Height = 2b m

Area of a parallelogram = Base x Height

Discussion

5644.	1)खालील प्रश्नालाही अचूक पर्याय निवडा खालीलपैकी कोणता समूह संच आहे?A) आठवड्यातील वार B)गावातील आंनदी व्यक्ती c)पुस्तकातील सोपी उदाहरणे D)गाळेतील हुशार विद्याथी
Answer» ANSWER: D Step-by-step EXPLANATION: शाळेतील हूशार विधय़ाथी

5644.

1)खालील प्रश्नालाही अचूक पर्याय निवडा खालीलपैकी कोणता समूह संच आहे?A) आठवड्यातील वार B)गावातील आंनदी व्यक्ती c)पुस्तकातील सोपी उदाहरणे D)गाळेतील हुशार विद्याथी

Answer»

ANSWER:

D

Step-by-step EXPLANATION:

शाळेतील हूशार विधय़ाथी

Discussion

5645.	the age of mohan is 5 years more than that of his brother. 5 years ago, the ratio of their ages is 3:2. find their present ages
Answer» 5555555553635364p578735

Discussion

5646.	Solve the following inequality :Also show the answer on number line. Class-11 inequality
Answer» $\large\underline{\sf{Solution-}}$ Given inequality is $\rm :\longmapsto\:\tt \dfrac{x(x + 6)(x + 2)^{2} (x - 3)}{(x - 4) ^{3}(x + 1) ^{4} } > <klux>0</klux>$ Let first find the critical points. So, critical points are x = 0, - 6, - 2, 3, 4 and - 1 Let rearranged ACCORDING to NUMBER line - 6, - 2, - 1, 0, 3, 4 So, Let PLOT these points on number line and let check the interval and check the sign. $\begin{gathered}\boxed{\begin{array}{c\|c} \bf Interval & \bf Sign \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf ( - \infty, - 6) & \sf + \\ \\ \sf ( - 6, - 2) & \sf - \\ \\ \sf ( - 2, - 1) & \sf - \\ \\ \sf ( - 1,0) & \sf - \\ \\ \sf (0,3) & \sf + \\ \\ \sf (3,4) & \sf - \\ \\ \sf (4, \infty ) & \sf + \end{array}} \\ \end{gathered}$ SINCE, it is given that, $\rm :\longmapsto\:\tt \dfrac{x(x + 6)(x + 2)^{2} (x - 3)}{(x - 4) ^{3}(x + 1) ^{4} } > 0$ So, required solution set is $\bf\implies \:x \: \in \: ( - \infty ,6) \: \cup \:(0,3) \: \cup \:(4, \infty )$ Additional Information :- $\boxed{ \rm{ x > y\rm \: \implies\: - x < - y}}$ $\boxed{ \rm{ x < y\rm \: \implies\: - x > - y}}$ $\boxed{ \rm{ x \geqslant y\rm \: \implies\: - x \leqslant - y}}$ $\boxed{ \rm{ x \leqslant y\rm \: \implies\: - x \geqslant - y}}$ $\boxed{ \rm{ x > - y \: \rm\implies \: - x < y}}$ $\boxed{ \rm{ x < - y \: \rm\implies \: - x > y}}$ $\boxed{ \rm{ x \leqslant - y \: \rm\implies \: - x \geqslant y}}$

5646.

Solve the following inequality :Also show the answer on number line. Class-11 inequality

Answer»

$\large\underline{\sf{Solution-}}$

Given inequality is

$\rm :\longmapsto\:\tt \dfrac{x(x + 6)(x + 2)^{2} (x - 3)}{(x - 4) ^{3}(x + 1) ^{4} } > <klux>0</klux>$

Let first find the critical points.

So, critical points are x = 0, - 6, - 2, 3, 4 and - 1

Let rearranged ACCORDING to NUMBER line - 6, - 2, - 1, 0, 3, 4

So, Let PLOT these points on number line and let check the interval and check the sign.

$\begin{gathered}\boxed{\begin{array}{c|c} \bf Interval & \bf Sign \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf ( - \infty, - 6) & \sf + \\ \\ \sf ( - 6, - 2) & \sf - \\ \\ \sf ( - 2, - 1) & \sf - \\ \\ \sf ( - 1,0) & \sf - \\ \\ \sf (0,3) & \sf + \\ \\ \sf (3,4) & \sf - \\ \\ \sf (4, \infty ) & \sf + \end{array}} \\ \end{gathered}$

SINCE, it is given that,

$\rm :\longmapsto\:\tt \dfrac{x(x + 6)(x + 2)^{2} (x - 3)}{(x - 4) ^{3}(x + 1) ^{4} } > 0$

So, required solution set is

$\bf\implies \:x \: \in \: ( - \infty ,6) \: \cup \:(0,3) \: \cup \:(4, \infty )$

Additional Information :-

$\boxed{ \rm{ x > y\rm \: \implies\: - x < - y}}$

$\boxed{ \rm{ x < y\rm \: \implies\: - x > - y}}$

$\boxed{ \rm{ x \geqslant y\rm \: \implies\: - x \leqslant - y}}$

$\boxed{ \rm{ x \leqslant y\rm \: \implies\: - x \geqslant - y}}$

$\boxed{ \rm{ x > - y \: \rm\implies \: - x < y}}$

$\boxed{ \rm{ x < - y \: \rm\implies \: - x > y}}$

$\boxed{ \rm{ x \leqslant - y \: \rm\implies \: - x \geqslant y}}$

Discussion

5647.	Koi ek follow kr do yaal...400 ho jayegaaa :\|
Answer» [email PROTECTED] abhimanigaming

5647.

Koi ek follow kr do yaal...400 ho jayegaaa :|

Answer»

[email PROTECTED]

abhimanigaming

Discussion

5648.	Three coins are tossed simultaneously.Condition for event A : To get at least two heads. Condition for event B : To get no head. Condition for event C : To get head on the second coin.
Answer» ANSWER: $\huge{❥}\:{\mathtt{{\purple{\boxed{\tt{\pink{\red{A}\pink{n}\orange{s}\green{w}\blue{e}\purple{r᭄}}}}}}}}$ जीवन में सच्चा मित्र मिलना किसी खजाने से कम नहीं है। मेरे भी अनेक मित्र हैं, परंतु पवन मेरा सच्चा और सबसे प्रिय मित्र है। मुझे उसकी मित्रता पर गर्व है। हमारी मित्रता को विद्यालय एवं पड़ोस में एक आदर्श के रूप में देखा जाता है, क्योंकि हमारी दोस्ती स्वार्थ पर आधारित नहीं है।

5648.

Three coins are tossed simultaneously.Condition for event A : To get at least two heads. Condition for event B : To get no head. Condition for event C : To get head on the second coin.

Answer»

ANSWER:

$\huge{❥}\:{\mathtt{{\purple{\boxed{\tt{\pink{\red{A}\pink{n}\orange{s}\green{w}\blue{e}\purple{r᭄}}}}}}}}$

जीवन में सच्चा मित्र मिलना किसी खजाने से कम नहीं है। मेरे भी अनेक मित्र हैं, परंतु पवन मेरा सच्चा और सबसे प्रिय मित्र है। मुझे उसकी मित्रता पर गर्व है। हमारी मित्रता को विद्यालय एवं पड़ोस में एक आदर्श के रूप में देखा जाता है, क्योंकि हमारी दोस्ती स्वार्थ पर आधारित नहीं है।

Discussion

5649.	The point of concurrency of two internal angle bisector and one perpendicular bisector in a triangle is *
Answer» Answer: The point of concurrency of the ANGLE bisectors is called the incenter. The THREE ALTITUDES of a triangle are concurrent. The point of concurrency is called the ORTHOCENTER.

5649.

The point of concurrency of two internal angle bisector and one perpendicular bisector in a triangle is *

Answer»

Answer:

The point of concurrency of the ANGLE bisectors is called the incenter. The THREE ALTITUDES of a triangle are concurrent. The point of concurrency is called the ORTHOCENTER.

Discussion

5650.	Date. How to put 3x10-4 into scientific calculator
Answer» ANSWER: 3x10 =30 -4=26 and this is a RIGHT answer AUR not

5650.

Date. How to put 3x10-4 into scientific calculator

Answer»

ANSWER:

3x10 =30 -4=26 and this is a RIGHT answer AUR not

Discussion

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