4,322 Answered Questions for the topic College Algebra

College Algebra

05/18/20

Find f(a), f(a + h), and the difference quotient f(a+h)-f(a)/h. Given f(x)=7x^2+9

College Algebra Algebra 1 Algebra 2 Algebra

05/15/20

The maximum force F (in pounds) needed to tighten the lug nuts on a car tire varies inversely with the length of the wrench L.

The maximum force F (in pounds) needed to tighten the lug nuts on a car tire varies inversely with the length of the wrench L. For a wrench that is 8 inches, 150 pounds of force is required. How... more
College Algebra Algebra 1 Algebra 2 Calculus

05/15/20

Simplify and write the following with positive exponents:

Simplify and write the following with positive exponents:
College Algebra Algebra 1 Algebra 2 Calculus

05/15/20

factor out completely

Factor completely:
College Algebra Algebra 1 Algebra 2 Calculus

05/15/20

What is the degree and the leading coefficient of the polynomial?

What is the degree and the leading coefficient of the polynomial?
College Algebra Algebra 1 Algebra 2 Calculus

05/15/20

The maximum force F (in pounds) needed to tighten the lug nuts on a car tire varies inversely with the length of the wrench L.

The maximum force F (in pounds) needed to tighten the lug nuts on a car tire varies inversely with the length of the wrench L. For a wrench that is 8 inches, 150 pounds of force is required. How... more
College Algebra Algebra 1 Algebra 2 Calculus

05/15/20

find the min cost

A manufacturer of lighting fixtures has daily production costs of , where C is the total cost in dollars and  is the number of fixtures produced.a. How many fixtures should be produced each day to... more
College Algebra Algebra 1 Algebra 2 Calculus

05/15/20

Write the equation (in slope-intercept form) for the line through the point

Write the equation (in slope-intercept form) for the line through the point  perpendicular to the line .
College Algebra Algebra 1 Algebra 2 Calculus

05/15/20

An investment portfolio of stocks and bonds, with an initial investment of $30,000, gained $4355 over its life. If the stocks gained 25% and the bonds gained 8%, how much was invested in each?

An investment portfolio of stocks and bonds, with an initial investment of $30,000, gained $4355 over its life. If the stocks gained 25% and the bonds gained 8%, how much was invested in each?
College Algebra

05/13/20

A soda can is placed inside a cooler....

A soda can is placed inside a cooler. As the soda cools, the temperature T(x) in degrees Celsius is given by the following function, where X is the number of minutes since the Cannes was placed in... more
College Algebra Algebra 1 Algebra 2 Calculus

05/13/20

A diver jumps from a rock 30 meters high into a lake below. His trajectory is described by the function

A diver jumps from a rock 30 meters high into a lake below. His trajectory is described by the function h(x) = -2x^2 + 4x + 30, where h(x) is the height in meters after x seconds. Find the maximum... more
College Algebra Algebra 1 Algebra 2 Calculus

05/13/20

The volume V of a gas varies inversely as the pressure P on it.

The volume V of a gas varies inversely as the pressure P on it. If the volume is 250cm3 under pressure of 35kg/cm2 , what pressure has to be applied to have a volume of 175cm3?
College Algebra Algebra 1 Algebra 2 Calculus

05/13/20

Find all asymptotes for the following rational functions

Find all asymptotes for the following rational functions: 𝑓(𝑥) = 9𝑥−5 / 3𝑥−7
College Algebra Algebra 1 Algebra 2 Calculus

05/13/20

Combine the logarithmic expression into a single logarithm and then evaluate the logarithm

Combine the logarithmic expression into a single logarithm and then evaluate the logarithm. Log 60 + log 50 – log 3
College Algebra Algebra 1 Algebra 2 Calculus

05/13/20

Given f(x) = x + 3 and g(x) = x2 – 4 Find (𝑔 ∘ 𝑓)(𝑥)

Given f(x) = x + 3 and g(x) = x^2 – 4 Find (𝑔 ∘ 𝑓)(𝑥)
College Algebra Algebra 1 Algebra 2 Calculus

05/13/20

Julie has $8,000 to invest, and hopes to earn $330 in interest in the first year.

Julie has $8,000 to invest, and hopes to earn $330 in interest in the first year. She wants her investment in treasury bills to be $3000 less than her investment into corporate bonds. The expected... more
College Algebra Algebra 1 Algebra 2 Calculus

05/13/20

find half life of caffeine

The half-life of caffeine is approximately 5.7 hours. If there are 30mg of caffeine in a half cup of coffee ice cream, how long will it take to decrease to 5mg of caffeine?
College Algebra Algebra 2 Algebra

05/13/20

find the max height

A diver jumps from a rock 30 meters high into a lake below. His trajectory is described by the function h(x) = -2x^2 + 4x + 30, where h(x) is the height in meters after x seconds. Find the maximum... more
College Algebra Algebra 1 Algebra 2 Algebra

05/13/20

Solve the inequality symbolically and write your solution in interval notation. -7 ≤ 4 – 3x < 7

Solve the inequality symbolically and write your solution in interval notation. -7 ≤ 4 – 3x < 7
College Algebra Calculus

05/12/20

Solve the exponential equation. Express the solution set in terms of natural logarithms.

Solve the exponential equation. Express the solution set in terms of natural logarithms.8^5x =4
College Algebra Algebra 2

05/12/20

Show that f(x)=2x+3 and g(x)=x-3/2 are inverses

Please show workShow that f(x)=2x+3 and g(x)=x-3/2 are inverses

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