Answers FL-1200710-Mathematics for College Algebra ACumulative Exam

Cumulative Exam — Cumulative exam Answers

49 verified answers1 views

Free Preview

What is the coefficient of x after simplifying (−x−5)2?

−25

−10

Free Preview

Which two functions are inverses of each other?

Use synthetic division to solve . What is the quotient?

x squared + 4 x + 3

x squared minus 6 x + 13 minus StartFraction 80 Over x minus 5 EndFraction

x cubed + 4 x squared + 3 x

x squared minus 6 x + 13 minus StartFraction 80 Over x + 5 EndFraction

The tile along the edge of a triangular community pool needs to be replaced.

12x2 + 15

20x2 + 25

12x2 + 8x + 25

24x2 + 16x + 50

The tables show two functions evaluated for the given values of x.

Option

If is the inverse of and , what is ?

g (x) = 12 x + 4

g (x) = one-fourth x minus 12

g (x) = x minus 3

g (x) = one-fourth x minus 3

One root of is x = –10. What are all the roots of the function? Use the Remainder Theorem.

x = –25 or x = 10

x = –25, x = 1, or x = 10

x = –10 or x = 5

x = –10, x = –5, or x = 5

Which of the following graphs represents a function?

On a coordinate plane, a graph shows an image of a curved line connected to a straight line. The curved line is upward facing and goes through the y-axis at (0, 0.75). The curved line connects with the straight line at (1, 0.75). The straight line has a negative slope and goes through the x-axis at (2, 0).

On a coordinate plane, a circle intercepts the x-axis at points (negative 2, 0) and (2, 0) and intercepts the y-axis between points 3 and 4 and also between points negative 3 and negative 4.

On a coordinate plane, a parabola opens right and has a vertex at (negative 3, 3).

A coordinate plane has 7 points. The points are (negative 4, 3), (negative 2, negative 5), (negative 1, negative 3), (1, 3), (2, negative 2), (4, negative 2), (4, 2).

Which table shows a linear function?

mc004-1.jpg

mc004-2.jpg

mc004-3.jpg

mc004-4.jpg

If f(x) is an odd function, which statement about the graph of f(x) must be true?

It has rotational symmetry about the origin.

It has line symmetry about the line y = –x.

It has line symmetry about the y-axis.

It has line symmetry about the x-axis.

If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of ?

mc015-2.jpg

mc015-3.jpg

mc015-4.jpg

mc015-5.jpg

Which expression is equivalent to the following complex fraction?

StartFraction (y + 1) (y minus 1) Over y squared EndFraction

StartFraction y + 1 Over y minus 1 EndFraction

StartFraction y minus 1 Over y + 1 EndFraction

StartFraction y squared Over (y + 1) (y minus 1) EndFraction

What is the solution to the equation ?

x = –3

x = –3 and x = 0

x = 0 and x = 3

x = 3

What is the remainder when (x3 + 1) is divided by (x2 – x + 1)?

x + 1

For which pair of functions is ?

f(a) = a2 – 4 and

and g(a) = 2a – 2

f(a) = 5 + a2 and

f(a) = 3 – 3a and g(a) = 4a – 5

What is the difference?

StartFraction x squared + 4 x minus 1 Over x (x + 2) EndFraction

StartFraction x squared + 4 x + 1 Over x (x + 2) EndFraction

StartFraction 4 Over negative 1 (x squared + x minus 2) EndFraction

StartFraction x squared + 6 x + 1 Over x (x + 2) EndFraction

The cost for the raw materials of marble countertops, c, can be represented by the function c(a) = 4.25a, where a is the area of the countertops. The retail markup, m, can be represented by the function m(c) = 1.15c.

m(c(a)) = 4.8875a

m(c(a)) = 3.6957a

m(c(a)) = 5.4a

m(c(a)) = 3.1a

Sun, a kayaker, paddles 8 miles upstream (against the current) in 2 hours. Returning to her original location, she paddles downstream (with the current) the same distance in 1 hour. The equations represent x, the paddling speed, and y, the speed of the current.2(x – y) = a b(x + y) = 8Which are true? Select two options.a = 8b = 8a = 1b = 1a = b

a = 8

b = 8

a = 1

b = 1

a = b

The total number of degrees, D, in an n-sided polygon is given by the formula When Janelle solves for n, she gets . Sophie solved the same equation for n and got an equivalent equation. Which of the following could be Sophie’s equation?