Algebra

अब Quizwiz के साथ अपने होमवर्क और परीक्षाओं को एस करें!

If $10,000 is invested at 8%, compounded monthly, how is the investment worth after 5 years? Choose the closest answer.

$15,000

Solve the system: 3x - 2y = 10, 5x + 3y = 23

(4, 1)

A particular right triangle has an acute angle of π/6 radians, and the side opposite this angle has measure 8. What is the hypotenuse of this triangle?

16

The x-intercept of y = 4x - 8 is?

2,0

If f(x) = 2x + 3 and g(x) = x - 5, what is f○g?

2x - 7

What is the period of y = sin 3x?

2π/3

The graph of f(x) = x3 -6x2 + 4x +1 hits the x-axis how many times?

3

The half-life of carbon 14 is 5,730 years. How old is a bone that has 70% of its original carbon 14? Choose the closest answer.

3,000 years

What is the amplitude of y = 4 sin (2x - π/4)?

4

The solutions of x2 -8x + 17 = 0 are?

4 + i and 4 - i

If f(x) = 2x + 3, and g(x) = x2 + x, what is g ○ f?

4x2 + 14x + 12

In radian measure, what is 210 degrees?

7π/6 radians

What kind of system is 2x + y = 3, -6x - 3y = -9?

Dependent

A frog jumps and takes 2 seconds to land. The path of the frog's flight is best modeled by the graph of f(x) = -x2 + 2x. What is the maximum height of the jump?

The correct answer is: 1

f(x) = √(x + 5) + 2, what is the domain of f-1?

[2, ∞)

f(x) = 3x - 5, what is the inverse of f?

x/3 + 5/3

What is the equation of a line through (-1, 4) and (-2,7)?

y = -3x + 1

Solve the system: y = x2 - 5, y = 2x - 2

(-1, -4) and (3, 4)

Solve the system: y = |x|, y = 2x + 3

(-1, 1)

Solve the system: y = e3x , and y = e2x-1

(-1, e-3)

What is the vertex of f(x) = x2 + 3x + 2?

(-3/2, -1/4)

What is the solution to 3x - y = 4, x + 6y = -5?

(1, -1)

Solve the system: y = x2 + 4x - 5, y = 0

(1, 0) and (-5, 0)

Solve the system: x + y + z = 6, 2x - y + z = 3, x + y - z = 0

(1, 2, 3)

Solve the system: 2x + y = 6, -2x + 3y = 5

(13/8, 11/4)

What is the point (3, 3sqrt(3)) in polar coordinates?

(6, π/3)

What are the x-intercepts of f(x) = x2 - 6?

(√6, 0) and (-√6, 0)

Solve for x: (1/2) = 2x + 3

-4

From the formula for sin (2t + t) find sin 3t in terms of sin t

-4 sin3 (t) + 3sin (t)

Let f(x) = x2 - 4, x < 0. What is f-1?

-√(x + 4), x >-4

Solve for x: e2x + 1 = 10.

0.6

What is the exact value of sin (-11π/2)?

1

What is the exact value of the cot (-3π/4)?

1

What, approximately, is log2 12? Choose the closest answer.

4

What type of system is 3x - y = 4, and -6x + 2y = 5?

Inconsistent

What kind of system is y = 3x - 5, 2x + y = 8?

Independent

Solve the system (domain is all real numbers): y = x2 + 5, y = x - 4

No solution

Solve the system: y = x2 - 4, y = 3x - 6

None of these

Use DeMoivre's theorem to find z4, if z is 1 + 1i. Express your answer in complex form.

None of these

If A = (-2, 5) and B = [4,7], A ᴗ B?

The correct answer is: (-2,7]

If f(x) = 2x +1, what is the domain?

The correct answer is: (-∞,∞)

Solve the system: x + y + z = 4, 3x - y + z = 2, y - z = -2

The correct answer is: (0, 1, 3)

Solve the system: x + y + z = 3, 2x - y + 3z = 3, x - 2y + 3z = 0

The correct answer is: (2, 1, 0)

If f (t)=t2 + t, find [ f(t + h) -f (t)]/h.

The correct answer is: 2t + h + 1

What is the domain of f(x) = √(x - 5) / √x ( √ means "the square root of")?

The correct answer is: [5, ∞)

If f(x) = 3x +2 and g(x) = x -4, (f/g)(4) is:

The correct answer is: undefined

What is i^73?

i

What the equation of the line passing through (1,4) and parallel to y = 2x + 1?

y = 2x + 2

In radian measure, what is arcsin (1/2)?

π/6

As x goes to infinity, the graph of f(x) = 5x4 - 173x3 -16x2 -7x -15 goes to (points in) what direction?


संबंधित स्टडी सेट्स

Chapter 14-Autonomic Nervous System Pictures/Matching

View Set

Medical Intervention 1.4 Vaccinations

View Set

Mastering Chapter 5, Fats, Oils, and Other Lipids, Nutrition Mastering Chapter 5 - Exam 2, MasteringNutrition Chp. 5, chapter 5

View Set

Chapters 6,7,10 Art Appreciation Study Guide

View Set

Friedman, “The Social Responsibility of Business is to Increase Profits” philo 230 chapter 14

View Set

Des expressions pour les scènes d'action

View Set

Chapter 26: Disorders of Blood Flow and Blood Pressure Regulation

View Set