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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.
| 951. |
Which answer best describes the complex zeros of the polynomial function?f(x) = x3 - x2 + 6x - 6 The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly two locations. The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations. The function has two real zeros and one nonreal zero. The graph of the function intersects the x-axis at exactly one location. The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one location. |
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Answer» Which answer best describes the complex zeros of the polynomial function?f(x) = x3 - x2 + 6x - 6 Solution: |
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| 952. |
Given the function f(x) = 4 - 2x: If the domain is {-4, 0, 5}, find the range. |
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Answer» Given the function f(x) = 4 - 2x: If the domain is {-4, 0, 5}, find the range. Solution: |
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| 953. |
Which product of prime polynomials is equivalent to 8x3 - 2x? x(2x - 1)(2x - 1) 2x(x + 1)(x - 1) 2x2(2x + 1)(2x - 1) 2x(2x + 1)(2x - 1) |
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Answer» Which product of prime polynomials is equivalent to 8x3 - 2x? Solution: |
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| 954. |
How can you write the expression with a rationalized denominator 3√2 / 3√6. |
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Answer» How can you write the expression with a rationalized denominator 3√2 / 3√6. Solution: |
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| 955. |
How many x-intercepts does the graph of y = -(x + 1)2 - 2 have? |
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Answer» How many x-intercepts does the graph of y = -(x + 1)2- 2 have? Solution: |
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| 956. |
What is the solution(s) to the quadratic equation 9x2 = 4? |
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Answer» What is the solution(s) to the quadratic equation 9x2= 4? Solution: |
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| 957. |
What is the 12th term of the sequence 15, 11, 7 |
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Answer» What is the 12th term of the sequence 15, 11, 7 Solution: |
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| 958. |
State the property that justifies the statement: if 3x + 4 = 10, then 3x = 6 Subtraction Property of Equality Addition Property of Equality Division Property of Equality Multiplication Property of Equality |
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Answer» State the property that justifies the statement: if 3x + 4 = 10, then 3x = 6 Solution: |
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| 959. |
What is the exact distance from (-1, 4) to (6, -2)? |
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Answer» What is the exact distance from (-1, 4) to (6, -2)? Solution: |
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| 960. |
Find an equation of the tangent line to the curve at the given point (2, -4) y = 4x - 3x2 |
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Answer» Find an equation of the tangent line to the curve at the given point (2, -4) y = 4x - 3x2 Solution: |
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| 961. |
What is the relative maximum and minimum of the function f(x) = 2x3 + x2 - 11x |
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Answer» What is the relative maximum and minimum of the function f(x) = 2x3 + x2 - 11x Solution: |
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| 962. |
∠A and ∠B are vertical angles with m∠A = x and m∠B = 5x - 80 What is m∠A ? |
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Answer» ∠A and ∠B are vertical angles with m∠A = x and m∠B = 5x - 80 What is m∠A ? Solution: |
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| 963. |
What are the zeros of the quadratic function f(x) = 6x2 - 24x + 1? |
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Answer» What are the zeros of the quadratic function f(x) = 6x2- 24x + 1? Solution: |
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| 964. |
What are the measures of angles 1 and 2? m∠1 = ° m∠2 = ° |
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Answer» What are the measures of angles 1 and 2? m∠1 = ° m∠2 = °
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| 965. |
What is the equation of the parabola with vertex (3, 4) and focus (6, 4). |
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Answer» What is the equation of the parabola with vertex (3, 4) and focus (6, 4). Solution: |
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| 966. |
Verify the identity: cos 4x + cos 2x = 2 - 2sin2(2x) - 2sin2(x) |
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Answer» Verify the identity: cos 4x + cos 2x = 2 - 2sin2(2x) - 2sin2(x) Solution: |
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| 967. |
If arc sq = 84° and ∠rps = 26°, what is the measure of arc rs? |
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Answer» If arc sq = 84° and ∠rps = 26°, what is the measure of arc rs?
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| 968. |
Let f(x) = 3x + 2 and g(x) = x - 3. Find f(x) - g(x) |
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Answer» Let f(x) = 3x + 2 and g(x) = x - 3. Find f(x) - g(x) Solution: |
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| 969. |
Simplify (1 - sin x)(1 + sin x). |
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Answer» Simplify (1 - sin x)(1 + sin x). Solution: |
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| 970. |
If an= 24, which recursive formula could represent the sequence below? ...,24, 88, 664, 8408 An = (An - 2)2 + An - 1; A1 = 2 An = 3An - 1 + 16; A1 = 16 An= (n)An - 1 - 8; A1 = 4 An = 2An - 2 + 7An; A1 = 2 |
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Answer» If an = 24, which recursive formula could represent the sequence below? ...,24, 88, 664, 8408 Solution: |
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| 971. |
What is the 32nd term of the arithmetic sequence where a1 = 15 and a13 = -57? |
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Answer» What is the 32nd term of the arithmetic sequence where a1 = 15 and a13 = -57? Solution: |
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| 972. |
Find the first six terms of the sequence. a1 = -7, an = 4 • an - 1 |
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Answer» Find the first six terms of the sequence. a1 = -7, an = 4 • an - 1 Solution: |
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| 973. |
One of the factors of g2 - 28g + 196 is |
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Answer» One of the factors of g2- 28g + 196 is Solution: |
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| 974. |
Sketch the region enclosed by the given curves. x = 7y2, x = 4 + 6y2 |
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Answer» Sketch the region enclosed by the given curves. x = 7y2, x = 4 + 6y2 Solution: |
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| 975. |
Estimate the volume of the solid that lies below the surface z = xy and above the rectangle R = {(x, y)| 0 |
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Answer» Estimate the volume of the solid that lies below the surface z = xy and above the rectangle R = {(x, y)| 0 <= x <= 6, 0 <= y <= 4} Solution: |
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| 976. |
How to find the domain and range of a square root function? |
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Answer» Domain:{x : x > or = 0}, Range:{y : y is an element of all real numbers, both positive and negative}. The square root of a number is the number that gets multiplied to itself to give the product. |
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| 977. |
Write the equation 2x - 3y = 6 in slope-intercept form. |
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Answer» Write the equation 2x - 3y = 6 in slope-intercept form. Solution: |
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| 978. |
How to find the domain of a function on a graph? |
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Answer» A domain is the set of ‘all the values’ that go into a function. The domain of a function is all the possible values of the independent variable x, for which y is defined. The domain of a functionis defined asthe set of all possible input values. |
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| 979. |
Please choose the answer that describes the scientific notation for 3,134,000,000. 3.143 × 1045 3.143 × 109 31.34 × 109 3.134 × 109 |
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Answer» Please choose the answer that describes the scientific notation for 3,134,000,000. Solution: |
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| 980. |
Which expression is equivalent to i233? 1, -1, i, -i |
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Answer» Which expression is equivalent to i233? Solution: |
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| 981. |
Identify the domain of the equation y = x2 - 6x + 1. x ≤ 3,x ≥ - 8,x ≥ - 2,All real numbers |
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Answer» Identify the domain of the equation y = x2 - 6x + 1. The domain of a function is all real numbers except where the function is undefined. The domain is (∞, -∞). |
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| 982. |
What is the value of t in the equation 3(2t + 5) = 5t + 25? |
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Answer» What is the value of t in the equation 3(2t + 5) = 5t + 25? Solution: |
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| 983. |
How do you find the domain and range of f(x) = 6/x - 4? |
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Answer» How do you find the domain and range of f(x) = 6/x - 4? Solution: |
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| 984. |
Find the distance between the points (13, 20) and (18, 8). |
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Answer» Find the distance between the points (13, 20) and (18, 8). Solution: |
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| 985. |
What is the logarithmic form of the equation e5x ≈ 4768? |
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Answer» What is the logarithmic form of the equation e5x≈ 4768? Solution: |
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| 986. |
Identify the open interval on which the functioncos (4x/3) is increasing or decreasing (0 < x < 2π). |
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Answer» The function cos (4x/3) is increasing in the domain3π/4 < x < 3π/2 and decreasing in the domain(0 < x < 3π/4)∪ (3π/2< x < 2π). Increasing functions are those that continuously increase in a particular domain. For example, y = xis an increasing function. Decreasing functions are those that continuously decreasesin a particular domain. For example, y = - xis a decreasing function. |
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| 987. |
Simplify the rational expression. state any restrictions on the variable. n4 - 10n2 + 24/n4 - 9n2 + 18 |
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Answer» Simplify the rational expression. state any restrictions on the variable. n4 - 10n2 + 24/n4 - 9n2 + 18 Solution: |
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| 988. |
What is 125x9 + 64y12 written as a sum of cubes? |
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Answer» What is 125x9 + 64y12 written as a sum of cubes? Solution: |
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| 989. |
Identify the degree of the polynomial 4xy - 11y - 3. |
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Answer» Identify the degree of the polynomial 4xy - 11y - 3. Solution: |
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| 990. |
Write a linear factorization of the function. f(x) = x4+ 9x2 |
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Answer» Write a linear factorization of the function. f(x) = x4+ 9x2 Solution: |
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| 991. |
Which of the following would be an acceptable first step in simplifying the expression sinx/1 + sinx. 1/(cscx + sinx) sinx + 1 (sinx(1 - sinx))/((1 + sinx)(1 - sinx)) |
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Answer» Which of the following would be an acceptable first step in simplifying the expression sinx/1+sinx. Solution: |
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| 992. |
Solve the equation. x2 + 18x + 81 = 25 |
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Answer» Solve the equation. x2+ 18x + 81 = 25 Solution: |
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| 993. |
If s(x) = 2 - x2 and t(x) = 3x, which value is equivalent to s(t(-7))? |
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Answer» If s(x) = 2 - x2 and t(x) = 3x, which value is equivalent to s(t(-7))? Solution: |
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| 994. |
Classify the following expression by degree and term: x3y + 5xyz 3rd degree trinomial 4th degree binomial 3rd degree binomial 5th degree binomial |
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Answer» Classify the following expression by degree and term: x3y + 5xyz Solution: |
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| 995. |
What is the logarithmic form of the equation e3x ≈ 3247? |
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Answer» What is the logarithmic form of the equation e3x≈ 3247? Solution: |
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| 996. |
If f = {(2, 3), (5, 7), (3, 3), (5, 4), (9, 1)}, what is the range? |
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Answer» If f = {(2, 3), (5, 7), (3, 3), (5, 4), (9, 1)}, what is the range? Solution: |
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| 997. |
Prove that d /dx (csc x) = -csc x cot x. |
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Answer» Prove that d /dx (csc x) = -csc x cot x. Solution: |
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| 998. |
If a function is not continuous at a point, then it is not defined at that point. State true/false. |
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Answer» False. We will use the concept of limit, continuity, and differentiability in order to find true/false. |
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| 999. |
Find the fifth root of 243(cos 260° + i sin 260°). |
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Answer» Find the fifth root of 243(cos 260° + i sin 260°). Solution: |
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| 1000. |
What is the factored form of the polynomial 27x2y - 43xy2? |
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Answer» What is the factored form of the polynomial 27x2y - 43xy2? Solution: |
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