# Algebra Help

posted by .

I got 2 more intense problems like this. Can someone show me the way for each step so I can follow along with the other problems I have to do? ThankS!

A gardener has 40 feet of fencing with which to enclose a garden adjacent to a long existing wall. The gardener will use the wall for one side and the available fencing for the remaining three sides.

If the sides perpendicular to the wall have length x feet, which of the following (A, B, C, or D) represents the area A of the garden?

A. A(x) = –2x^2 + 20x
B. A(x) = –2x^2 + 40x
C. A(x) = 2x^2 – 40x
D. A(x) = x^2 – 40x

The area function is a quadratic function and so its graph is a parabola.

Does the parabola open up or down?

Find the vertex of the quadratic function A(x). Show work.

Use the work in the previous parts to help determine the dimensions of the garden which yield the maximum area, and state the maximum area. (Fill in the blanks below. Include the units of measurement.)

The maximum area is ______________,

when the sides perpendicular to the wall have length x = ___________

and the side parallel to the wall has length ___________ .

• Algebra Help -

The area is
A(x) = x (40-2x)= -2x^2 + 40x

When plotted vs x, that is an upside down parabola.

Ypu can find the maximum value (apex) with calculus or by completing the square
A = -2(x^2 -20x + 100) +200
= -2(x-10)^2 + 200
The maximum value of A occurs when x=10.
Now you fill in the blanks

## Similar Questions

1. ### algebra

srry if i am asking to many questions today this is my last thing plse help me how do you do problems like this find the slop and y intercept of the equation 3 y=x-5/4 5/4 is a fraction how do you do problems like that plse expalin …
2. ### Algebra Word Problem Help

I got 2 more intense problems like this. Can someone show me the way for each step so I can follow along with the other problems I have to do?
3. ### math

a rectangle is to be inscribed under the arch of the curve y = 2cosx from x=-pi to x=pi. What is the length of the base of the rectangle with maximum area?
4. ### math

a rectangle is to be inscribed under the arch of the curve y = 2cosx from x=-pi to x=pi. What is the length of the base of the rectangle with maximum area?
5. ### math

So I've been having trouble solving some problems. Mainly problems that look like this 5-(t+3)=-1+2(t-3) what causes problems is the 5- part. I asked my teacher for help, and he gave me a hint, which is to distribute a -1 like 5+(-1)(t)+(-1)(3) …
6. ### stoichiometry problems

Hey I hve problems with calculate stoichiometry problems and next week I have a test about it can someone help me out and give me a site where everything is written step by step ....thank u guys :) I REALLY NEED HELP NO JOKING
7. ### algebra II

Thank you for your prompt response. I have my homework I have to turn in in about 2 hours, but i am struggling to solve this question. Is there any way you can just give me the answer while I find a website that can show me step by …
8. ### Algebra

Can someone please help me with math problem and explain to me step by step how to solve it so I will know how solve other problems like this Thank you in advance Multiply and then, if possible, simplify by factoring /7x /21y
9. ### algebra

help me please im confused Consider the quadratic expression X^2 + 4x + c = 0. For what range of values does the equation have two complex roots?
10. ### Algebra

Algebra Word Problems: 1. The length of the floor of a one-storey building is 14 feet longer than its width. The building has 1,632 square feet of floor space. Write a quadratic equation for the area of the floor in terms of w. Find …

More Similar Questions