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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1551. |
According to the Rational Root Theorem, -2/5 is a potential rational root of which function? f(x) = 4x4 - 7x2 + x + 25 f(x) = 9x4 - 7x2 + x + 10 f(x) = 10x4- 7x2 + x + 9 f(x) = 25x4 - 7x2 + x + 4 |
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Answer» According to the Rational Root Theorem, -2/5 is a potential rational root of which function? Solution: |
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| 1552. |
Find the area under the standard normal curve between z = 0 and z = 3. |
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Answer» Find the area under the standard normal curve between z = 0 and z = 3. Solution: |
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| 1553. |
If ƒ(x) = 2x2 + 3, then which of the following represent ƒ(x + 1)? 2x2 + 2 x2 + 3 2x2 + 4x + 1 2x2 + 4x + 5 |
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Answer» If ƒ(x) = 2x2+ 3, then which of the following represent ƒ(x + 1)? Solution: |
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| 1554. |
Determine the point at which the graph of the function has a horizontal tangent line. y = 16x-1- x2 |
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Answer» Determine the point at which the graph of the function has a horizontal tangent line. y = 16x-1- x2 Solution: |
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| 1555. |
If the point (3/5, 4/5) corresponds to an angle in the unit circle, what is csc x? |
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Answer» If the point (3/5, 4/5) corresponds to an angle in the unit circle, what is csc x? Solution: |
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| 1556. |
Calculate the interquartile range from the following data: 1, 2, 4, 5, 10, 12, 18. |
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Answer» Calculate the interquartile range from the following data: 1, 2, 4, 5, 10, 12, 18. Solution: |
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| 1557. |
If two dice are rolled what is the probability of getting a sum of 6. |
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Answer» If two dice are rolled what is the probability of getting a sum of 6. Solution: |
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| 1558. |
What is the area under the normal curve between z = -1.0 and z = -2.0? |
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Answer» What is the area under the normal curve between z = -1.0 and z = -2.0? Solution: |
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| 1559. |
Find the general solution of the given second-order differential equation. y'' + 4y = 0 |
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Answer» Find the general solution of the given second-order differential equation. y'' + 4y = 0 Solution: |
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| 1560. |
Find the general solution of the given second-order differential equation. 2y'' + y' = 0 |
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Answer» Find the general solution of the given second-order differential equation. 2y'' + y' = 0 Solution: |
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| 1561. |
If f(x) = √x + 12 and g(x) = 2√x, what is the value of (f - g)(144)? |
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Answer» If f(x) = √x + 12 and g(x) = 2√x, what is the value of (f - g)(144)? Solution: |
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| 1562. |
In the diagram, TRV ≅ VRW. What is the measure of SRT? |
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Answer» In the diagram, TRV ≅ VRW. What is the measure of SRT?
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| 1563. |
Find the area of the region in the first quadrant enclosed by the x-axis, the line y = x and and circle x2+ y2 = 32. |
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Answer» Find the area of the region in the first quadrant enclosed by the x-axis, the line y = x and circle x2+ y2= 32. Solution: |
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| 1564. |
Find an equation of a parabola with a vertex at the origin and directrix y = -1.5 |
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Answer» Find an equation of a parabola with a vertex at the origin and directrix y = -1.5 Solution: |
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| 1565. |
In triangle ABC, BG = 24 mm. What is the length of segment GE? |
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Answer» In triangle ABC, BG = 24 mm. What is the length of segment GE?
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| 1566. |
Find all solutions in the interval [0, 2π). sec2x - 2 = tan2x |
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Answer» Find all solutions in the interval [0, 2π). sec2x - 2 = tan2x Solution: |
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| 1567. |
What are the coordinates of the point (-1, 6) after a reflection across the x-axis? (1, 6), (-1, 6), (1, -6), (-1, -6) |
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Answer» What are the coordinates of the point (-1, 6) after a reflection across the x-axis? (1, 6), (-1, 6), (1, -6), (-1, -6) Solution: |
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| 1568. |
What is the quotient (3x3 + 10x2 + 10x + 4) ÷ (x + 2)? |
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Answer» What is the quotient (3x3 + 10x2 + 10x + 4) ÷ (x + 2)? Solution: |
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| 1569. |
Find a cartesian equation for the curve and identify it. r = 7 tan(θ) sec(θ) |
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Answer» Find a cartesian equation for the curve and identify it. r = 7 tan(θ) sec(θ) Solution: |
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| 1570. |
Find the value of the derivative of the function f(x) = 4√x at the given point (9,12). |
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Answer» Find the value of the derivative of the function f(x) = 4√x at the given point (9,12). Solution: |
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| 1571. |
What is the measure of arc ef in circle h? |
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Answer» What is the measure of arc ef in circle h?
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| 1572. |
If an integer is randomly selected from all positive 2-digit integers, what is the probability that the integer chosen has (a) a 4 in the tens place? (b) at least one 4 in the tens place or the units place? (c) no 4 in either place? |
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Answer» If an integer is randomly selected from all positive 2-digit integers, what is the probability that the integer chosen has (a) a 4 in the tens place? (b) at least one 4 in the tens place or the units place? (c) no 4 in either place? Solution: |
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| 1573. |
Write a solution of 4x2 = - 9x - 4? |
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Answer» Write a solution of 4x2= - 9x - 4? Solution: |
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| 1574. |
Samuel found the difference of the polynomials. (15x2 + 11y2 + 8x) - (7x2 + 5y2 + 2x) = ?x2 - 6y2 + 6x. What value is missing from his solution? |
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Answer» Samuel found the difference of the polynomials. (15x2 + 11y2 + 8x) - (7x2 + 5y2 + 2x) = ?x2 - 6y2 + 6x. What value is missing from his solution? Solution: |
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| 1575. |
The diagram represents the factorization of x2 - 9x + 18. It is partially completed. |
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Answer» The diagram represents the factorization of x2- 9x + 18. It is partially completed.
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| 1576. |
Find the slope of the tangent line to the function y = In x at the point x = 2. |
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Answer» Find the slope of the tangent line to the function y = In x at the point x = 2. Solution: |
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| 1577. |
Which expression is equivalent to n2 + 26n + 88 for all values of n? |
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Answer» Which expression is equivalent to n2+ 26n + 88 for all values of n? Solution: |
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| 1578. |
Factor x3 - 4x2 + 7x - 28 by grouping. What is the resulting expression? |
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Answer» Factor x3- 4x2+ 7x - 28 by grouping. What is the resulting expression? Solution: |
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| 1579. |
The point P(-10, -2) is on the terminal side of an angle x. Find the exact values of each trigonometric function |
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Answer» The point P(-10, -2) is on the terminal side of an angle x. Find the exact values of each trigonometric function Solution: |
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| 1580. |
The product of sin 30 and sin 60 is same as the product of cos 60 degrees tan 30 degrees and cos 30 degrees tan 60 degrees. |
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Answer» The product of sin 30 and sin 60 is same as the product of cos 60 degrees tan 30 degrees and cos 30 degrees tan 60 degrees. Solution: |
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| 1581. |
Write the correct input-output table for the function f(x) = 7 - 4.5x? |
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Answer» Write the correct input-output table for the function f(x) = 7 - 4.5x? Solution: |
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| 1582. |
A student solved the equation below by graphing..log6(x - 1) = log2(2x + 2). Which statement about the graph is true? The curves do not intersect. The curves intersect at one point. The curves intersect at two points. The curves appear to coincide. |
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Answer» A student solved the equation below by graphing..log6(x - 1) = log2(2x + 2). Which statement about the graph is true? Solution: |
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| 1583. |
Describe Equation of Curves. |
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Answer» Solution: |
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| 1584. |
Find a.b if a = 4i - 4j, b = 4i + 5j |
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Answer» Find a.b if a = 4i - 4j, b = 4i + 5j Solution: |
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| 1585. |
How many 3-digit positive integers are odd and do not contain the digit 5? |
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Answer» How many 3-digit positive integers are odd and do not contain the digit 5? Solution: |
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| 1586. |
Find a cartesian equation for the curve and identify it. r = 9 cos(θ) |
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Answer» Find a cartesian equation for the curve and identify it. r = 9 cos(θ) Solution: |
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| 1587. |
If (-3, y) lies on graph of y = 3x, then y = |
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Answer» If (-3, y) lies on graph of y = 3x, then y = Solution: |
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| 1588. |
Given the function f(x) = 2(x + 4), find x if f(x) = 22. |
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Answer» Given the function f(x) = 2(x + 4), find x if f(x) = 22. Solution: |
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| 1589. |
Solve 486 - 9 + 6 + (33 × 2)? |
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Answer» Solve 486 - 9 + 6 + (33 × 2)? Solution: |
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| 1590. |
Find the area under the standard normal curve between z = 1 and z = 2? |
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Answer» Find the area under the standard normal curve between z = 1 and z = 2? Solution: |
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| 1591. |
Simplify the given expression below: 4 divided by the quantity of 3 minus 2i |
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Answer» Simplify the given expression below: 4 divided by the quantity of 3 minus 2i Solution: |
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| 1592. |
Find a cartesian equation for the curve and identify it. r = 5 cos(θ) |
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Answer» Find a cartesian equation for the curve and identify it. r = 5 cos(θ) Solution: |
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| 1593. |
What is the axis of symmetry for f(x) = -5x2 - 20x - 10? |
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Answer» What is the axis of symmetry for f(x) = -5x2- 20x - 10? Solution: |
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| 1594. |
Rewrite f(x) = 3(x - 2)2 + 1 from vertex form to standard form. |
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Answer» Rewrite f(x) = 3(x - 2)2 + 1 from vertex form to standard form. Solution: |
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| 1595. |
How do you graph the inequality 2x + y ≤ 4? |
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Answer» How do you graph the inequality 2x + y ≤ 4? Solution: |
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| 1596. |
What are the x-intercepts of the function f(x) = -2x2 - 3x + 20? |
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Answer» What are the x-intercepts of the function f(x) = -2x2 - 3x + 20? Solution: |
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| 1597. |
What are the zeros of the polynomial function f(x) = x3- x2- 12x? |
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Answer» What are the zeros of the polynomial function f(x) = x3- x2- 12x? Solution: |
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| 1598. |
Write the equation of the horizontal line that passes through the point (2, 4). |
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Answer» Write the equation of the horizontal line that passes through the point (2, 4). Solution: |
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| 1599. |
What is value of x? x = |
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Answer» What is value of x? x =
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| 1600. |
What is the completely factored form of 12xy - 9x - 8y + 6? |
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Answer» What is the completely factored form of 12xy - 9x - 8y + 6? Solution: |
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