448 Answered Questions for the topic Precalculus Homework

Exponential and Logarithmic Equations

ex + 45e−x − 14 = 0solve for x, round to four decimal places.

Exponential and Logarithmic Functions

The rate at which a battery charges is slower the closer the battery is to its maximum charge C0. The time (in hours) required to charge a fully discharged battery to a charge C is given byt = -k... more

Find a formula for the inverse of the following.

f(x) = ax + b,  a ≠ 0

Use substitution and elimination method.

Substitution: y=x2-6x+9                      y+x=5     Elimination: y=x2-11x-36                   y=-12x+36

I don't know how to do this pre-calc problem. Please help me.

g(n) = - 7 (9n - 1) (3n + 1)n - intercept : (n, g(n)) :: ________ [smaller n - value]n - intercept : (n, g(n)) :: ________ [larger n - value]y - intercept : (n, g(n)) :: ________

Find the cubic polynomial with zeros 3 and 3+4i ( and 3-4i) and having f(1) = 64

Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the... more

The sum of two numbers is 44. Express the product of the​ numbers, P, as a function of one of the​ numbers, x.

The sum of two numbers is 44. Express the product of the numbers, P, as a function of one of the numbers, x.

A local bank charges ​$14 per month plus 3cents per check. The credit union charges ​$2 per month plus 6cents per check.

How many checks should be written each month to make the credit union a better deal?

A truck can be rented from Company A for ​$90 a day plus ​$0.30 per mile. Company B charges ​$30 a day plus ​$0.70 per mile to rent the same truck.

How many miles must be driven in a day to make the rental cost for Company A a better deal than Company B's?

If $70000 is invested at 5% compounded quarterly, how long will it take for the investment to triple in value?

need to know how many years it will take to triple in value. 

Determine the quadratic function f whose graph is given. The vertex is (-3,-13) and the y intercept is -4

I do not have a description I’m just stuck and i need help. I really need help like really need help

f(-4)=8 and f(-1)=4 write a linear equation y=f(x)

It has to be written for and equation for a linear function and then I have to graph it to get the all of the answer for the problem correct

Arbitrary point

P(x,y) is an arbitrary point on the circle X2+y2=1. Express the distance d from P to the point A=(3,0) as a function of the x cooridinate of P. state the domain and range of the function. 

What is the height function?

The height s above the ground at time t of a falling object is given by s(t) = −5t2 + v0t + s0 where s is in meters, t is in seconds, v0 is the object's initial velocity in meters per second and s0... more

Find a point on the y-axis that is equidistant from the points (6, −6) and (3, 3).

Find a point on the y-axis that is equidistant from the points (6, −6) and (3, 3).

Rate and interest

Mr. Jackson borrowed money from his bank and on his life insurance to start a business. His interest rate on the bank loan was 10%, and his rate on the insurance loan was 14%. If the total amount... more

Will the rainwater tank fill up?

A huge storm is quickly filling up Manuel’s rainwater collection tank. Manuel wants to know if his 1000 gallon tank will overflow in the next hour, so he uses a rain gauge to determine that rain... more

Solve System Of Equations

I have a question on how to simplify this system of equations. If a free variable is needed please use the parameter t.   4x-y+z=6 2y+6z=36 x+z=6   Thank you!

How far did Mark row if the entire trip took 4 hours?

Mark can row upstream at 5mph and downstream at 11mph. If Mark starts rowing upstream until he gets tired and then rows downstream to his starting point. 

Find the equation in standard form of the circle with points (2,3), (3,4), (-1,2)

I can't keep up with the solution. I need it for my quiz on tuesday. 

Find the height of the pole

a tree sits on top of a tall building. An observer on the ground 17 m away from the building finds the angle of elevation to the base of the tree to be 30° And the angle of elevation to the top of... more
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