Question 1

Find the equation of the circle with radius 5 and center (16, -13) in standard form.

Accepted Answer

(x - 16)² +

Question 2

Identify the conic section as a parabola, ellipse, circle, or hyperbola.
The set of all points whose distance from the point (6, -9) plus the distance from the point (12, -9) is exactly 31 units.

Accepted Answer

The answer of Identify the conic section as a parabola,...

Question 3

Find integers m and n such that    
 .

Accepted Answer

The answer of Find integers m and n such that...

Question 4

Find the minimum value of the function f defined by 
   
 .

Accepted Answer

The answer of Find the minimum value of the function...

Question 5

Suppose f(x) = x2 + 44x + 10.
A) Write f in the form f(x) = (x + c)2 + d.
B) Find the vertex of its graph.

Accepted Answer

Part A:
 @#IMG-DLM&

Question 6

Suppose the graph of f is a parabola with vertex at (1, -2). Suppose g(x) = 2x + 2. What are the coordinates of the vertex of the graph of f ◦ g?

Accepted Answer

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

Question 7

Find the equation of the line in the xy-plane that contains the point (4, 3) and that is parallel to the line whose equation is y = 3x - 2. Write the equation in slope-intercept form.

Accepted Answer

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

Question 8

Find a number b such that the three lines in the xy-plane given by the equations y = -x + b, y = 10x - 10, and y = -20x + 50 have a common intersection point.

Accepted Answer

A)  10 
B)  9 
C)  11 
D)  12 
A)  10 
B)  9 
C)  11 
D)  12

Question 9

If a cellular phone tower has a reception radius of 190 miles and you live 50 miles north and 220 miles east of the tower, can you use your cell phone while at home?

Accepted Answer

A) True 
 B)False

Question 10

Find the equation of the circle with radius 4 and center (-2, -6) in standard form.

Accepted Answer

A)  (x - 2)2 + (y - 6)2 = 16 
B)  (x + 2)2 + (y + 6)2 = 4 
C)  (x + 2)2 + (y + 6)2 = 16 
D)  (x - 2)2 + (y - 6)2 = 4 
A)  (x - 2)2 + (y - 6)2 = 16 
B)  (x + 2)2 + (y + 6)2 = 4 
C)  (x + 2)2 + (y + 6)2 = 16 
D)  (x - 2)2 + (y - 6)2 = 4

Question 11

Find the center and radius of the circle with equation (x + 2)2 + (y - 15)2 = 27.

Accepted Answer

A)  center (2, -15), r = 27 
B)  center (2, -15), r =   
C)  center (-2, 15), r = 27 
D)  center (-2, 15), r = 3
  
A)  center (2, -15), r = 27 
B)  center (2, -15), r =   
C)  center (-2, 15), r = 27 
D)  center (-2, 15), r = 3

Question 12

Find the intersection in the xy-plane of the lines y = x + 17 and y = -2x + 68.

Accepted Answer

The answer of Find the intersection in the xy-plane of...

Question 13

State the center and radius of the equation 
   
 .

Accepted Answer

center (-5

Question 14

Find the equation of the circle with radius 8  And center (0, 0) in standard form.

Accepted Answer

A)  x + y = 8
   
B)  x2 + y2 = 40 
C)  x2 + y2 = 320 
D)  x2 + y2 = 8
   
A)  x + y = 8
   
B)  x2 + y2 = 40 
C)  x2 + y2 = 320 
D)  x2 + y2 = 8

Question 15

Find all real numbers x such that
x4 + 36x2 - 2,592 = 0

Accepted Answer

Question 16

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 17

Find a number b such that 6 is a zero of the polynomial p defined by p(x) = -36 + bx - 6x2 + x3.

Accepted Answer

A)  36 
B)  -36 
C)  6 
D)  -6 
A)  36 
B)  -36 
C)  6 
D)  -6

Question 18

Find the equation of the line with slope 2 that contains the point (2, 9). Write the equation in slope-intercept form.

Accepted Answer

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

Question 19

Find a number b such that 1 is a zero of the polynomial p defined by p(x) = b - 9x + bx2 + 9x3.

Accepted Answer

Question 20

Find the center and radius of the circle with equation x2 + (y + 15)2 = 9.

Accepted Answer

A)  center (0, -15), r = 9 
B)  center (0, 15), r = 9 
C)  center (0, 15), r = 3 
D)  center (0, -15), r = 3 
A)  center (0, -15), r = 9 
B)  center (0, 15), r = 9 
C)  center (0, 15), r = 3 
D)  center (0, -15), r = 3

Find the equation of the circle with radius 5 and center (16, -13) in standard form.

Identify the conic section as a parabola, ellipse, circle, or hyperbola. The set of all points whose distance from the point (6, -9) plus the distance from the point (12, -9) is exactly 31 units.

Find integers m and n such that .

Find the minimum value of the function f defined by .

Suppose f(x) = x² + 44x + 10. A) Write f in the form f(x) = (x + c)² + d. B) Find the vertex of its graph.

Suppose the graph of f is a parabola with vertex at (1, -2). Suppose g(x) = 2x + 2. What are the coordinates of the vertex of the graph of f ◦ g?

Find the equation of the line in the xy-plane that contains the point (4, 3) and that is parallel to the line whose equation is y = 3x - 2. Write the equation in slope-intercept form.

Find a number b such that the three lines in the xy-plane given by the equations y = -x + b, y = 10x - 10, and y = -20x + 50 have a common intersection point.

If a cellular phone tower has a reception radius of 190 miles and you live 50 miles north and 220 miles east of the tower, can you use your cell phone while at home?

Find the equation of the circle with radius 4 and center (-2, -6) in standard form.

Find the center and radius of the circle with equation (x + 2)² + (y - 15)² = 27.

Find the intersection in the xy-plane of the lines y = x + 17 and y = -2x + 68.

State the center and radius of the equation .

Find the equation of the circle with radius 8 And center (0, 0) in standard form.

Find all real numbers x such that x⁴ + 36x² - 2,592 = 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.

Find a number b such that 6 is a zero of the polynomial p defined by p(x) = -36 + bx - 6x² + x³.

Find the equation of the line with slope 2 that contains the point (2, 9). Write the equation in slope-intercept form.

Find a number b such that 1 is a zero of the polynomial p defined by p(x) = b - 9x + bx² + 9x³.

Find the center and radius of the circle with equation x² + (y + 15)² = 9.

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 the equation of the circle with radius 5 and center (16, -13) in standard form.

Identify the conic section as a parabola, ellipse, circle, or hyperbola. The set of all points whose distance from the point (6, -9) plus the distance from the point (12, -9) is exactly 31 units.

Find integers m and n such that .

Find the minimum value of the function f defined by .

Suppose f(x) = x2 + 44x + 10. A) Write f in the form f(x) = (x + c)2 + d. B) Find the vertex of its graph.

Suppose the graph of f is a parabola with vertex at (1, -2). Suppose g(x) = 2x + 2. What are the coordinates of the vertex of the graph of f ◦ g?

Find the equation of the line in the xy-plane that contains the point (4, 3) and that is parallel to the line whose equation is y = 3x - 2. Write the equation in slope-intercept form.

Find a number b such that the three lines in the xy-plane given by the equations y = -x + b, y = 10x - 10, and y = -20x + 50 have a common intersection point.

If a cellular phone tower has a reception radius of 190 miles and you live 50 miles north and 220 miles east of the tower, can you use your cell phone while at home?

Find the equation of the circle with radius 4 and center (-2, -6) in standard form.

Find the center and radius of the circle with equation (x + 2)2 + (y - 15)2 = 27.

Find the intersection in the xy-plane of the lines y = x + 17 and y = -2x + 68.

State the center and radius of the equation .

Find the equation of the circle with radius 8 And center (0, 0) in standard form.

Find all real numbers x such that x4 + 36x2 - 2,592 = 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.

Find a number b such that 6 is a zero of the polynomial p defined by p(x) = -36 + bx - 6x2 + x3.

Find the equation of the line with slope 2 that contains the point (2, 9). Write the equation in slope-intercept form.

Find a number b such that 1 is a zero of the polynomial p defined by p(x) = b - 9x + bx2 + 9x3.

Find the center and radius of the circle with equation x2 + (y + 15)2 = 9.

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 f(x) = x² + 44x + 10. A) Write f in the form f(x) = (x + c)² + d. B) Find the vertex of its graph.

Find the center and radius of the circle with equation (x + 2)² + (y - 15)² = 27.

Find all real numbers x such that x⁴ + 36x² - 2,592 = 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.

Find a number b such that 6 is a zero of the polynomial p defined by p(x) = -36 + bx - 6x² + x³.

Find a number b such that 1 is a zero of the polynomial p defined by p(x) = b - 9x + bx² + 9x³.

Find the center and radius of the circle with equation x² + (y + 15)² = 9.