Question 1

What number should be added to complete the square of the expression?
X2 + 0.4x

Accepted Answer

A)  0.04 
B)  0.2 
C)  0.8 
D)  0.16 
A)  0.04 
B)  0.2 
C)  0.8 
D)  0.16

Question 2

What is the domain of   ?

Accepted Answer

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

Question 3

Find a number t such that the line in the xy-plane containing the points (t, 4) and (4, 6) is perpendicular to the line y = -x + 4.

Accepted Answer

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

Question 4

Write the domain of the function r(x) as a union of intervals.

Accepted Answer

The answer of Write the domain of the function r(x)...

Question 5

Simplify the given expression by writing it as a power of a single variable.

Accepted Answer

The answer of Simplify the given expression by writing it...

Question 6

Suppose the graph of f is a parabola with vertex at (5, 6). Suppose g(x) = 5x - 6. What are the coordinates of the vertex of the graph of g ◦ f?

Accepted Answer

The answer of Suppose the graph of f is a...

Question 7

Find all real numbers x such that:

Accepted Answer

A)  4, 1 
B)  -4, 1 
C)  4, -1 
D)  -4, -1 
A)  4, 1 
B)  -4, 1 
C)  4, -1 
D)  -4, -1

Question 8

Find the equation of the circle with radius 5   and center (8, -16) in standard form.

Accepted Answer

A)  (x + 8)2 + (y - 16)2 = 175 
B)  (x - 8)2 + (y + 16)2 = 175 
C)  (x - 8)2 + (y + 16)2 = 5   
D)  (x - 8)2 + (y + 16)2 = 35 
A)  (x + 8)2 + (y - 16)2 = 175 
B)  (x - 8)2 + (y + 16)2 = 175 
C)  (x - 8)2 + (y + 16)2 = 5   
D)  (x - 8)2 + (y + 16)2 = 35

Question 9

Transform the equation
   into standard form by completing the square. State the center and radius.

Accepted Answer

@#IMG-DLM& , center

Question 10

Find all choices of (b, c, d) such that 9 and -9 are the only zeros of the polynomial p(x) = x3 + bx2 + cx + d.

Accepted Answer

(-9, -81,

Question 11

Write the expression 
   in the form   , where q is the denominator of the given expression and G and R are polynomials with deg R < deg q.

Accepted Answer

The answer of Write the expression 
   in...

Question 12

Suppose that h(x) = x2 + 2x + 1, with the domain of h being the set of positive numbers. Evaluate h -1(6).

Accepted Answer

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

Question 13

Find the equation of the circle with radius 5 and center (-2, 7) in standard form.

Accepted Answer

A)  (x + 2)2 + (y - 7)2 = 25 
B)  (x + 2)2 + (y + 7)2 = 25 
C)  (x + 2)2 + (y - 7)2 = 5 
D)  (x - 2)2 + (y + 7)2 = 25 
A)  (x + 2)2 + (y - 7)2 = 25 
B)  (x + 2)2 + (y + 7)2 = 25 
C)  (x + 2)2 + (y - 7)2 = 5 
D)  (x - 2)2 + (y + 7)2 = 25

Question 14

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.
25x2 - 100y2 = 64

Accepted Answer

Question 15

Find a constant c such that the graph of y = x2 - 14x + c in the xy-plane has its vertex on the line y = x.

Accepted Answer

Question 16

The area of a rectangle is 624 square feet. The width is 2 feet less than the length. Find the dimensions of the rectangle.

Accepted Answer

The answer of The area of a rectangle is 624...

Question 17

Find a number m such that the three lines in the xy-plane given by the equations y = mx - 1, y = 11x + 11, and y = -11x + 33 have a common intersection point.

Accepted Answer

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

Question 18

Find all real numbers x such that:
x4 - 53x2 + 196 = 0

Accepted Answer

Question 19

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

Accepted Answer

Question 20

What is the domain of the function    ? Write your answer using set builder notation.

Accepted Answer

The answer of What is the domain of the function...

What number should be added to complete the square of the expression? X² + 0.4x

What is the domain of ?

Find a number t such that the line in the xy-plane containing the points (t, 4) and (4, 6) is perpendicular to the line y = -x + 4.

Write the domain of the function r(x) as a union of intervals.

Simplify the given expression by writing it as a power of a single variable.

Suppose the graph of f is a parabola with vertex at (5, 6). Suppose g(x) = 5x - 6. What are the coordinates of the vertex of the graph of g ◦ f?

Find all real numbers x such that:

Find the equation of the circle with radius 5 and center (8, -16) in standard form.

Transform the equation into standard form by completing the square. State the center and radius.

Find all choices of (b, c, d) such that 9 and -9 are the only zeros of the polynomial p(x) = x³ + bx² + cx + d.

Write the expression in the form , where q is the denominator of the given expression and G and R are polynomials with deg R < deg q.

Suppose that h(x) = x² + 2x + 1, with the domain of h being the set of positive numbers. Evaluate h ^-1(6).

Find the equation of the circle with radius 5 and center (-2, 7) in standard form.

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola. 25x² - 100y² = 64

Find a constant c such that the graph of y = x² - 14x + c in the xy-plane has its vertex on the line y = x.

The area of a rectangle is 624 square feet. The width is 2 feet less than the length. Find the dimensions of the rectangle.

Find a number m such that the three lines in the xy-plane given by the equations y = mx - 1, y = 11x + 11, and y = -11x + 33 have a common intersection point.

Find all real numbers x such that: x⁴ - 53x² + 196 = 0

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

What is the domain of the function ? Write your answer using set builder notation.

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

What number should be added to complete the square of the expression? X2 + 0.4x

What is the domain of ?

Find a number t such that the line in the xy-plane containing the points (t, 4) and (4, 6) is perpendicular to the line y = -x + 4.

Write the domain of the function r(x) as a union of intervals.

Simplify the given expression by writing it as a power of a single variable.

Suppose the graph of f is a parabola with vertex at (5, 6). Suppose g(x) = 5x - 6. What are the coordinates of the vertex of the graph of g ◦ f?

Find all real numbers x such that:

Find the equation of the circle with radius 5 and center (8, -16) in standard form.

Transform the equation into standard form by completing the square. State the center and radius.

Find all choices of (b, c, d) such that 9 and -9 are the only zeros of the polynomial p(x) = x3 + bx2 + cx + d.

Write the expression in the form , where q is the denominator of the given expression and G and R are polynomials with deg R < deg q.

Suppose that h(x) = x2 + 2x + 1, with the domain of h being the set of positive numbers. Evaluate h -1(6).

Find the equation of the circle with radius 5 and center (-2, 7) in standard form.

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola. 25x2 - 100y2 = 64

Find a constant c such that the graph of y = x2 - 14x + c in the xy-plane has its vertex on the line y = x.

The area of a rectangle is 624 square feet. The width is 2 feet less than the length. Find the dimensions of the rectangle.

Find a number m such that the three lines in the xy-plane given by the equations y = mx - 1, y = 11x + 11, and y = -11x + 33 have a common intersection point.

Find all real numbers x such that: x4 - 53x2 + 196 = 0

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

What is the domain of the function ? Write your answer using set builder notation.

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

What number should be added to complete the square of the expression? X² + 0.4x

Find all choices of (b, c, d) such that 9 and -9 are the only zeros of the polynomial p(x) = x³ + bx² + cx + d.

Suppose that h(x) = x² + 2x + 1, with the domain of h being the set of positive numbers. Evaluate h ^-1(6).

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola. 25x² - 100y² = 64

Find a constant c such that the graph of y = x² - 14x + c in the xy-plane has its vertex on the line y = x.

Find all real numbers x such that: x⁴ - 53x² + 196 = 0

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