Answers AZ-College Prep Math BModeling with Rational Functions

Modeling with Rational Functions — Unit test Answers

0 verified answers

The resistance, R, to electricity of a cylindrical-shaped wire is given by the equation , where p represents the resistivity of the wire’s material, L represents the length of the wire, and d represents the diameter of the wire. What happens to the resistance of the wire as the diameter approaches 0?

The resistance approaches 0.

The resistance approaches .

The resistance approaches L.

The resistance approaches infinity.

Free Preview

Which expression is equivalent to the following complex fraction?

StartFraction y + x Over y minus x EndFraction

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

StartFraction x squared y squared Over (y + x) (y + x) EndFraction

StartFraction y minus x Over y + x EndFraction

Riley makes a mistake in step 2 while doing her homework. What was her mistake? Step 1: Step 2: Step 3: Step 4:

She added the two fractions incorrectly.

She used the wrong common denominator.

She did not distribute the negative correctly.

She did not multiply the first fraction by a factor.

The quantity n varies jointly with the product of z and the square of the sum of x and y. When x = 2, y = 1, and z = 3, n = 18. What is the constant of variation?

One-ninth

Two-thirds

Six-fifths

Which graph represents the function ?

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 3, and the horizontal asymptote is at y = negative 2.

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 4, and the other curve opens down and to the left in quadrants 2 and 3. A vertical asymptote is at x = 3, and the horizontal asymptote is at y = negative 2.

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 4, and the other curve opens down and to the left in quadrants 2 and 3. A vertical asymptote is at x = negative 3, and the horizontal asymptote is at y = 2.

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1 , and the other curve opens down and to the left in quadrants 2, 1, and 4. A vertical asymptote is at x = 3, and the horizontal asymptote is at y = 2.

Which solution to the equation is extraneous?

a = –2

a = –2 and a = 4

neither a = –2 nor a = 4

a = 4

Which statement is true about the discontinuities of the function f(x)?

There is a hole at x = 2.

There are asymptotes at x = 0 and x = –1.

There are asymptotes at x = 0 and x = –1 and a hole at .

There are holes at x = 0 and x = –1 and an asymptote at x = 2.

For the inverse variation equation , what is the value of p when V = ?

StartFraction 1 Over 32 EndFraction

One-half

Which expression is equivalent to the following complex fraction?

StartFraction x minus 3 Over x EndFraction

StartFraction x + 3 Over 1 EndFraction

StartFraction x + 3 Over x EndFraction

StartFraction x Over x + 3 EndFraction

What is the solution to the equation ?

m = –4

m = –2

m = 2

m = 4

Using V = lwh, what is an expression for the volume of the following rectangular prism?

StartFraction 15 Over 2 x EndFraction

StartFraction 3 x + 12 Over 2 x + 8 EndFraction

StartFraction 15 Over 2 x + 2 EndFraction

Fifteen-eighths

Which statements comparing the graphs of function 1 and function 2 are true? Check all that apply.

Function 1 has a hole, while function 2 does not.

Function 1 has an oblique asymptote, while function 2 does not.

Function 2 has a hole, while function 1 only has asymptotes.

Function 2 only has asymptotes, while function 1 has a hole.

Both functions have the same domain restriction.

Both functions have the same vertical asymptote.

A certain company has a fixed cost of $200 per day. It costs the company $3.10 per unit to make its products. The company is tracking its average cost to make x units using . Which statement is true?

The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.

The horizontal asymptote of y = 0 represents that the average cost per unit will approach $0 as the number of units produced increases.

The vertical asymptote of x = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.

The vertical asymptote of x = 0 represents that the average cost per unit will approach $0 as the number of units produced increases.

Did you find these answers helpful?

Modeling with Rational Functions — Unit test Answers

More from this Course

TRY EDGENUITY HACKS