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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.
| 1751. |
What is the axis of symmetry for f(x) = -3x2 + 18x - 7 ? |
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Answer» What is the axis of symmetry for f(x) = -3x2 + 18x - 7 ? Solution: |
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| 1752. |
Express the surface area of a cube as a function of its volume v. |
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Answer» Express the surface area of a cube as a function of its volume v. Solution: |
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| 1753. |
Find sin θ if cot θ = -4 and cos θ < 0. |
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Answer» Find sin θ if cot θ = -4 and cos θ < 0. Solution: |
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| 1754. |
What is the quotient of (3x2 - 17x + 10) ÷ (x - 5)? |
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Answer» What is the quotient of (3x2- 17x + 10) ÷ (x - 5)? Solution: |
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| 1755. |
Solve this equation: -9h - 6 + 12h + 40 = 22. |
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Answer» Solve this equation: -9h - 6 + 12h + 40 = 22. Solution: |
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| 1756. |
What is the equation of a vertical line passing through the point (-5, -1)? |
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Answer» What is the equation of a vertical line passing through the point (-5, -1)? Solution: |
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| 1757. |
What are the real and complex solutions of the polynomial equation x3 - 8 = 0 |
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Answer» What are the real and complex solutions of the polynomial equation x3- 8 = 0 Solution: |
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| 1758. |
What are the coefficients for the binomial expansion of (a + b)3? |
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Answer» What are the coefficients for the binomial expansion of (a + b)3? Solution: |
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| 1759. |
Simplify (3 × 22) ÷ 6 + [28 - (4)2] = ? |
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Answer» Simplify (3 × 22) ÷ 6 + [28 - (4)2] = ? Solution: |
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| 1760. |
What is the sum of the measures of the interior angles of a 12-gon? |
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Answer» What is the sum of the measures of the interior angles of a 12-gon? Solution: |
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| 1761. |
What is the completely factored form of 9x2 + 24x + 16? (3x + 8)(3x + 2) (3x + 4)(3x + 4) (9x + 8)(x + 2) (9x + 4)(x + 4) |
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Answer» What is the completely factored form of 9x2+ 24x + 16? Solution: |
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| 1762. |
Find a second degree polynomial p such that p(2) = 5, p'(2) = 3, and p''(2) = 2 |
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Answer» Find a second degree polynomial p such that p(2) = 5, p'(2) = 3, and p''(2) = 2 Solution: |
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| 1763. |
What is the solution set of 7x2 + 3x = 0? |
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Answer» What is the solution set of 7x2 + 3x = 0? Solution: |
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| 1764. |
Describe how to graph the solution of y ≤ -x2 + 2x. |
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Answer» Describe how to graph the solution of y ≤ -x2+ 2x. Solution: |
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| 1765. |
Solve x2 + 8x - 3 = 0 using the completing-the-square method. |
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Answer» Solve x2+ 8x - 3 = 0 using the completing-the-square method. Solution: |
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| 1766. |
Solve the following: 32 ÷ 4 + 4 × 8 = ? |
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Answer» Solve the following: 32 ÷ 4 + 4 × 8 = ? Solution: |
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| 1767. |
What is the fifth term of the geometric sequence 5, 15, 45 |
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Answer» What is the fifth term of the geometric sequence 5, 15, 45 Solution: |
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| 1768. |
At what point does the curve have maximum curvature? y = 3ex |
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Answer» At what point does the curve have maximum curvature? y = 3ex Solution: |
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| 1769. |
Solve the triangle. A = 33°, a = 19, b = 14 |
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Answer» Solve the triangle. A = 33°, a = 19, b = 14 Solution: |
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| 1770. |
How many vertices does a triangular prism have? |
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Answer» How many vertices does a triangular prism have?
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| 1771. |
Simplify the given expression below: (4 + 2i) - (1 - 7i) |
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Answer» Simplify the given expression below: (4 + 2i) - (1 - 7i) Solution: |
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| 1772. |
Given that ABCD is a rhombus, what is the value of x? |
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Answer» Given that ABCD is a rhombus, what is the value of x?
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| 1773. |
Find the inverse of the function. f(x) = the cube root of quantity x divided by seven -9? |
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Answer» Find the inverse of the function. f(x) = the cube root of quantity x divided by seven -9? Solution: |
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| 1774. |
Determine whether the function is linear or nonlinear. The curve of the function has the points (-2, -14), (-1, -8), (0, -2) and (1, 4). If it is linear, determine the slope. |
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Answer» The given function is linear in nature, and has a slope equal to 6. The slope of a line is defined by the change in vertical direction divided by the change in the horizontal direction. Trigonometrically, it is given by tanθ, whereθ is the angle between the x-axis and the line in the anticlockwise direction. |
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| 1775. |
7.2 × 12 × 0.23 = ? Round to the nearest hundredth. |
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Answer» 7.2 × 12 × 0.23 = ? Round to the nearest hundredth. Solution: |
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| 1776. |
Add (7x6 + 10x2 - 10) + (3x6 - 6x3 + 4). |
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Answer» Add (7x6 + 10x2 - 10) + (3x6 - 6x3 + 4). Solution: |
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| 1777. |
Solve for x: 5 - (x + 5) > -2(x + 4) |
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Answer» Solve for x: 5 - (x + 5) > -2(x + 4) Solution: |
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| 1778. |
Using the transformation T: (x, y) (x + 2, y + 1), find the distance named. Find the distance A'B'. |
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Answer» Using the transformation T: (x, y) (x + 2, y + 1), find the distance named. Find the distance A'B'.
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| 1779. |
Find the first six terms of the sequence. a1 = -8, an = 5an - 1 |
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Answer» Find the first six terms of the sequence. a1 = -8, an = 5an - 1 Solution: |
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| 1780. |
(x + 2) is raised to the fifth power. the third term of the expansion is: |
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Answer» (x + 2) is raised to the fifth power. the third term of the expansion is: Solution: |
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| 1781. |
What is the product of the functions f(x) = x2 and g(x) = x - 8 ? |
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Answer» What is the product of the functions f(x) = x2 and g(x) = x - 8 ? Solution: |
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| 1782. |
Choose the product.(5x2 + 2x - 3)(x - 1) 5x - 2x2 + 3x4 5x2 - 5x - 1 7x3 + 6x2 - 1x 5x3 - 3x2 - 5x + 3 |
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Answer» Choose the product.(5x2 + 2x - 3)(x - 1) Solution: |
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| 1783. |
Divide 4x3 + 2x2 + 3x + 4 by x + 4. |
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Answer» Divide 4x3 + 2x2 + 3x + 4 by x + 4. Solution: |
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| 1784. |
Find x if f(x) = 2x + 7 and f(x) = -1. |
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Answer» Find x if f(x) = 2x + 7 and f(x) = -1. Solution: |
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| 1785. |
The lengths of the sides of a triangle are 3x, 5x - 12, and x + 20. Find the value of x so that the triangle is isosceles? |
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Answer» The lengths of the sides of a triangle are 3x, 5x - 12, and x + 20. Find the value of x so that the triangle is isosceles? Solution: |
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| 1786. |
A garden has width sqrt 13 and length 7 sqrt 13. What is the perimeter? |
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Answer» A garden has width sqrt 13 and length 7 sqrt 13. What is the perimeter? Solution: |
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| 1787. |
Find the equation of the tangent line to f(x) = x3 + x2 + x + 1 at x = 4. |
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Answer» Find the equation of the tangent line to f(x) = x3 + x2 + x + 1 at x = 4. Solution: |
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| 1788. |
Use the zero product property to find the solutions to the equation x2+ 12 = 7x. |
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Answer» x = 3 or x = 4 are the solutions of the given quadratic equationx2+ 12 = 7x, obtained byusingthe zero product property. The zero product property is nothing but if ab = 0⇒ either a = 0 or b = 0 or both a and b are equal to zero. |
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| 1789. |
What are the vertical and horizontal asymptotes for the function f(x) = x2 + x - 6/x3 - 1 |
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Answer» What are the vertical and horizontal asymptotes for the function f(x) = x2+ x - 6/x3- 1 Solution: |
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| 1790. |
How is the graph y = log(2x) + 3 related to the graph of y = log(x)? It is stretched horizontally by a factor of 2 and translated up 3. It is compressed horizontally by a factor of 2 and translated up 3. It is stretched vertically by a factor of 2 and translated up 3. It is compressed vertically by a factor of 2 and translated up 3. |
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Answer» How is the graph y = log(2x) + 3 related to the graph of y = log(x)? Solution: |
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| 1791. |
Find the area under the standard normal curve between z = 1.5 and z = 2.5 |
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Answer» Find the area under the standard normal curve between z = 1.5 and z = 2.5 Solution: |
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| 1792. |
Suppose a and b are independent events. if p(a) = 0.4 and p(b) = 0.1, what is p(a u b) |
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Answer» Suppose a and b are independent events. if p(a) = 0.4 and p(b) = 0.1, what is p(a u b) Solution: |
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| 1793. |
What is the axis of symmetry for f(x) = 2x2 + 4x + 2? |
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Answer» What is the axis of symmetry for f(x) = 2x2 + 4x + 2? Solution: |
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| 1794. |
Write the standard equation for the circle center (-6, 7) and radius r = 9 |
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Answer» Write the standard equation for the circle center (-6, 7) and radius r = 9 Solution: |
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| 1795. |
Draw a rough figure and label suitably in each of the following cases: (a) Point P lies on line segment AB (b) XY and PQ Intersect at M (c) Line lContains E and F but not D (d) OP and OQ meet at O |
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Answer» Draw a rough figure and label suitably in each of the following cases: (a) Point P lies on line segment AB (b) XY and PQ Intersect at M (c) Line lContains E and F but not D (d) OP and OQ meet at O Solution: |
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| 1796. |
Find the value of tan(-135º) and cot(-135º) along with the steps. |
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Answer» Find the value of tan(-135º) and cot(-135º) along with the steps. Solution: |
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| 1797. |
What is the sum of the polynomials? (7x3 - 4x2) + (2x3 - 4x2) |
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Answer» What is the sum of the polynomials? (7x3 - 4x2) + (2x3 - 4x2) Solution: |
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| 1798. |
Simplify sine theta over square root of the quantity 1 minus sine squared theta. |
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Answer» Simplify sine theta over square root of the quantity 1 minus sine squared theta. Solution: |
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| 1799. |
Find all solutions to the equation cos x cos(3x) - sin x sin(3x) = 0 |
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Answer» Find all solutions to the equation cos x cos(3x) - sin x sin(3x) = 0 Solution: |
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| 1800. |
Let 'a' be the set of all points in a plane and 'O' be the origin. Show that the relation R = {(P, Q): OP = OQ} is an equivalence relation. |
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Answer» Let 'a' be the set of all points in a plane and 'O' be the origin. Show that the relation R = {(P, Q): OP = OQ} is an equivalence relation. Solution: |
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