A2BU3

Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together. 1/3+1/2=1/t How long will it take Ted and Jacob to clear the field together?

1hr 12 min

Which graph represents the function ? f(x)=4/x?

2nd graph

Find the vertical, horizontal, and slant asymptotes, if any, for f(x)=2x^3+24x^2+35x-174/x^2=14x+45

A

How many extraneous solutions does the equation below have? 2m/2m+3 - 2m/2m-3=1

A

The increase in a person's body temperature T(t), above 98.6ºF, can be modeled by the function T(t)=4t/t^2+1, where t represents time elapsed. What is the meaning of the horizontal asymptote for this function?

A

Which expression is equivalent to (m-4/m+4)/(m+2) ?

A

Which expression is equivalent to the following complex fraction? (-2/x+5/y)/(3/y-22-x)

A

Which statement is true about the discontinuities of the function f(x)? f(x)=x+1/6x^2-7x-3

A

The equation shows D=13/V that the density of a particular substance equals a mass of 13 grams divided by the volume of the substance. What happens to the density as the volume approaches 0?

A approaches ♾

How can Ari simplify the following expression?

B

Marshall bought 32 ounces of mixed nuts, which are estimated to be 30% peanuts. Which expression can be used to find the percentage of peanut concentration of the final mix if he adds x ounces of peanuts?

B

What is the difference? x/x^2-16 - 3/x-4

B

What is the product? (4n/4n-4)*(n-1/n+1)

B

Mr. Knotts found the difference of the following expression. Which statement is true about Mr. Knotts's work?

C

Using V = lwh, what is an expression for the volume of the following prism? 2d-6 /2d-4, 4/d-4, d-2/3d-9

C

Which graph represents the function f(x)=2x/x^2-1 ?

C

Determine the equations of the vertical and horizontal asymptotes, if any, for y=x^3/(x-2)

D

How does the graph of g(x)=1/x=4-6 compare to the graph of the parent function ?

D

The table below shows y, the average speed of a cyclist in miles per hour, and x, the time in hours that it takes the cyclist to complete a bicycle tour. Which rational function best models the data in the table? Time, x 12, 16

D

Where are the asymptotes for the following function located? f(x)=7/x^2-2x-24

Hence, the asymptotes of f(x) located at x=6 and x=-4.

Which expression is equivalent to the expression below? (m+3/m^2-16)/(m^2-9/m+4)

Hence, the overall expression is m - 13/m2 - 9/m + 4.

Max can mow a lawn in 45 minutes. Jan takes twice as long to mow the same lawn. If they work together, the situation can be modeled by the following equation, where t is the number of minutes it would take to mow the lawn together.

Max can mow a lawn: 1/45 jan can mow a lawn: 1/90 together they can mow a lawn: 1/(1/45+1/90) = 1/(1/30) = 30 min it will take them to mow the lawn.

Megan borrowed $50,000 at 5% simple interest for 6 years. Joseph borrowed $60,000 at 4% simple interest for 8 years. The formula can be used to calculate the monthly payment, m, where P is the principle amount borrowed, r is the rate expressed as a decimal, and t is the amount of time for the loan, in years. Who will have a greater monthly payment, and by how much?

Megan will pay approximately $78 more per month.

The slant asymptote of f(x)=x^3-2x^2+x-4/x^2+1 is y=x-2

T

Graph the equation and identify the asymptotes. y=x^2-x+1/x+1

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