Question 1

Find a number t such that the line containing the points (0, t) and (1, 1) has slope 3.

Accepted Answer

The answer of Find a number t such that the...

Question 2

Suppose 
   and    . Write the expression (3p - 15r)(x) as a ratio, with the numerator and denominator each written as a sum of terms of the form cxm.

Accepted Answer

Question 3

Find a number t such that the line in the xy-plane containing the points (7, t) and (8, 7) is perpendicular to the line 
   
 .

Accepted Answer

The answer of Find a number t such that the...

Question 4

The point (6, -6) lies on a circle centered at (0, 1). Find the equation in standard form.

Accepted Answer

A)  x2 + (y - 1)2 = 85 
B)  x2 + (y + 1)2 = 85 
C)  (x + 1)2 + y2 = 85 
D)  (x - 1)2 + y2 = 85 
A)  x2 + (y - 1)2 = 85 
B)  x2 + (y + 1)2 = 85 
C)  (x + 1)2 + y2 = 85 
D)  (x - 1)2 + y2 = 85

Question 5

Find a formula for (f    g)(x) assuming that f and g are the indicated functions. 
    .

Accepted Answer

The answer of Find a formula for (f  ...

Question 6

Find the equation of the line in the xy-plane that contains the point (6, -6) and that is perpendicular to the line whose equation is     . Write the equation in slope-intercept form.

Accepted Answer

The answer of Find the equation of the line in...

Question 7

Find all choices of (b, c, d) such that 4 and 1 are the only zeros of the polynomial p(x) = x3 + bx2 + cx + d.

Accepted Answer

(-9, 24, -

Question 8

The point (6, 0) lies on a circle centered at (-2, 5). Find the equation of the circle in standard form.

Accepted Answer

A)  (x + 2)2 + (y - 5)2 = 89 
B)  (x + 2)2 + (y - 5)2 = 64 
C)  (x - 2)2 + (y + 5)2 = 89 
D)  (x - 2)2 + (y + 5)2 = 64 
A)  (x + 2)2 + (y - 5)2 = 89 
B)  (x + 2)2 + (y - 5)2 = 64 
C)  (x - 2)2 + (y + 5)2 = 89 
D)  (x - 2)2 + (y + 5)2 = 64

Question 9

Suppose p(x) = x2 + 6x + 4, q(x) = 6x3 - 4x + 1. Write the expression (p + q)(x) as a sum of terms, each of which is a constant times a power of x.

Accepted Answer

A)  6x3 + x2 + 2x + 5 
B)  6x3 + x2 + 2x - 5 
C)  6x3 + x2 - 2x + 5 
D)  6x3 + x2 - 2x - 5 
A)  6x3 + x2 + 2x + 5 
B)  6x3 + x2 + 2x - 5 
C)  6x3 + x2 - 2x + 5 
D)  6x3 + x2 - 2x - 5

Question 10

Find a polynomial p of degree 3 such that -6, 6, and 7 are zeros of p and p(0) = 36. Write your answer in descending order by degree.

Accepted Answer

The answer of Find a polynomial p of degree 3...

Question 11

Suppose 
   and    . Write the expression (pq)(x) as a ratio, with the numerator and denominator each written as a sum of terms of the form cxm.

Accepted Answer

Question 12

Find a formula for the inverse function   of the indicated function.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 13

Find the center and radius of the circle with equation x2 + y2 - 108 = 0.

Accepted Answer

A)  center (0, 0), r = 54 
B)  center (0, 0), r = 0 
C)  center (0, 0), r =   
D)  center (0, 0), r = 108 
A)  center (0, 0), r = 54 
B)  center (0, 0), r = 0 
C)  center (0, 0), r =   
D)  center (0, 0), r = 108

Question 14

The only possible integer zeros of $p(x) = 2x^5 - bx^3 + 4x - 2$ are 1 and 2.

Accepted Answer

A) True 
 B)False

Question 15

Find the vertex of the graph of the function f(x) = (x - 11)2 + 9.

Accepted Answer

Question 16

Suppose that f(x) = -2x2 + 13x + 169. Find the vertex of the graph of f.

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 17

Find the function which is graphed below.

Accepted Answer

A) 
   
B) 
   
C)    
D) 
   
A) 
   
B) 
   
C)    
D)

Question 18

Evaluate the expression 
   
 .

Accepted Answer

The answer of Evaluate the expression 
   
...

Question 19

What number should be added to complete the square of the expression?
X2 -
  X

Accepted Answer

A)  25/144 
B)  25/36 
C)  5/144 
D)  5/36 
A)  25/144 
B)  25/36 
C)  5/144 
D)  5/36

Question 20

Find all real numbers x such that satisfy the indicated equation.

Accepted Answer

A) 
  And   
B) 
   
C) 
   
D) 
   
A) 
  And   
B) 
   
C) 
   
D)

Find a number t such that the line containing the points (0, t) and (1, 1) has slope 3.

Suppose and . Write the expression (3p - 15r)(x) as a ratio, with the numerator and denominator each written as a sum of terms of the form cx^m.

Find a number t such that the line in the xy-plane containing the points (7, t) and (8, 7) is perpendicular to the line .

The point (6, -6) lies on a circle centered at (0, 1). Find the equation in standard form.

Find a formula for (f g)(x) assuming that f and g are the indicated functions. .

Find the equation of the line in the xy-plane that contains the point (6, -6) and that is perpendicular to the line whose equation is . Write the equation in slope-intercept form.

Find all choices of (b, c, d) such that 4 and 1 are the only zeros of the polynomial p(x) = x³ + bx² + cx + d.

The point (6, 0) lies on a circle centered at (-2, 5). Find the equation of the circle in standard form.

Suppose p(x) = x² + 6x + 4, q(x) = 6x³ - 4x + 1. Write the expression (p + q)(x) as a sum of terms, each of which is a constant times a power of x.

Find a polynomial p of degree 3 such that -6, 6, and 7 are zeros of p and p(0) = 36. Write your answer in descending order by degree.

Suppose and . Write the expression (pq)(x) as a ratio, with the numerator and denominator each written as a sum of terms of the form cx^m.

Find a formula for the inverse function of the indicated function.

Find the center and radius of the circle with equation x² + y² - 108 = 0.

The only possible integer zeros of $p(x) = 2x^5 - bx^3 + 4x - 2$ are 1 and 2.

Find the vertex of the graph of the function f(x) = (x - 11)² + 9.

Suppose that f(x) = -2x² + 13x + 169. Find the vertex of the graph of f.

Find the function which is graphed below.

Evaluate the expression .

What number should be added to complete the square of the expression? X² - X

Find all real numbers x such that satisfy the indicated equation.

The Real Numbers

Functions and Their Graphs

Exponential Functions, Logarithms, and E

Trigonometric Functions

Trigonometric Algebra and Geometry

Sequences, Series, and Limits

Polar Coordinates, Vectors, and Complex Numbers

Prelude to Calculus

Filters

Exam 3: Linear, Quadratic, Polynomial, and Rational Functions

Find a number t such that the line containing the points (0, t) and (1, 1) has slope 3.

Suppose and . Write the expression (3p - 15r)(x) as a ratio, with the numerator and denominator each written as a sum of terms of the form cxm.

Find a number t such that the line in the xy-plane containing the points (7, t) and (8, 7) is perpendicular to the line .

The point (6, -6) lies on a circle centered at (0, 1). Find the equation in standard form.

Find a formula for (f g)(x) assuming that f and g are the indicated functions. .

Find the equation of the line in the xy-plane that contains the point (6, -6) and that is perpendicular to the line whose equation is . Write the equation in slope-intercept form.

Find all choices of (b, c, d) such that 4 and 1 are the only zeros of the polynomial p(x) = x3 + bx2 + cx + d.

The point (6, 0) lies on a circle centered at (-2, 5). Find the equation of the circle in standard form.

Suppose p(x) = x2 + 6x + 4, q(x) = 6x3 - 4x + 1. Write the expression (p + q)(x) as a sum of terms, each of which is a constant times a power of x.

Find a polynomial p of degree 3 such that -6, 6, and 7 are zeros of p and p(0) = 36. Write your answer in descending order by degree.

Suppose and . Write the expression (pq)(x) as a ratio, with the numerator and denominator each written as a sum of terms of the form cxm.

Find a formula for the inverse function of the indicated function.

Find the center and radius of the circle with equation x2 + y2 - 108 = 0.

The only possible integer zeros of p(x)=2x5−bx3+4x−2p(x) = 2x^5 - bx^3 + 4x - 2p(x)=2x5−bx3+4x−2 are 1 and 2.

Find the vertex of the graph of the function f(x) = (x - 11)2 + 9.

Suppose that f(x) = -2x2 + 13x + 169. Find the vertex of the graph of f.

Find the function which is graphed below.

Evaluate the expression .

What number should be added to complete the square of the expression? X2 - X

Find all real numbers x such that satisfy the indicated equation.

The Real Numbers

Functions and Their Graphs

Exponential Functions, Logarithms, and E

Trigonometric Functions

Trigonometric Algebra and Geometry

Sequences, Series, and Limits

Polar Coordinates, Vectors, and Complex Numbers

Prelude to Calculus

Filters

Suppose and . Write the expression (3p - 15r)(x) as a ratio, with the numerator and denominator each written as a sum of terms of the form cx^m.

Find all choices of (b, c, d) such that 4 and 1 are the only zeros of the polynomial p(x) = x³ + bx² + cx + d.

Suppose p(x) = x² + 6x + 4, q(x) = 6x³ - 4x + 1. Write the expression (p + q)(x) as a sum of terms, each of which is a constant times a power of x.

Suppose and . Write the expression (pq)(x) as a ratio, with the numerator and denominator each written as a sum of terms of the form cx^m.

Find the center and radius of the circle with equation x² + y² - 108 = 0.

The only possible integer zeros of $p(x) = 2x^5 - bx^3 + 4x - 2$ are 1 and 2.

Find the vertex of the graph of the function f(x) = (x - 11)² + 9.

Suppose that f(x) = -2x² + 13x + 169. Find the vertex of the graph of f.

What number should be added to complete the square of the expression? X² - X