Okay so first you want to simplify the given equation (7x+3y)(7x-3y)
in order to do this you multiply the first number of the first equation (7x) with the first number of the second equation (7x) this gives you 49x^2
Now you want to multiply the second number of the first equation (3y) by the second number of the second equation (-3y) this gives you -9y^2
Its as easy as pie!
The answer is 51 liters.
Since they have a direct relationship, set up a direct proportion.
17/476=x/1428
476x3 is 1428 so
17x3=51
5000*0.03+0.05x=275
Solve for x
X=2500
The answer is b
Caroline, Colin & Sarah share some money.Caroline will get 
when Caroline, Colin & Sarah share some money.
<h3>What is the ratio?</h3>
The ratio defined as the sharing of the two or three things or it represent that one thing or number is how many times to the other.
One part is excluded in the problem. That part is:
"Caroline gets 
of the money."
If Caroline gets 1/9th, then remaining is:
Colin and Sarah share in ratio 3 is to 1, that means 3 + 1 = 4 parts...
8/9th in 4 parts means, each part is:
We know Colin gets "3" parts of the total, each part is (2/9)th, so 3 parts would be:
Colin gets money when three of them share money.
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Answer:
a. 1620-x^2
b. x=810
c. Maximum value revenue=$656,100
Step-by-step explanation:
(a) Total revenue from sale of x thousand candy bars
P(x)=162 - x/10
Price of a candy bar=p(x)/100 in dollars
1000 candy bars will be sold for
=1000×p(x)/100
=10*p(x)
x thousand candy bars will be
Revenue=price × quantity
=10p(x)*x
=10(162-x/10) * x
=10( 1620-x/10) * x
=1620-x * x
=1620x-x^2
R(x)=1620x-x^2
(b) Value of x that leads to maximum revenue
R(x)=1620x-x^2
R'(x)=1620-2x
If R'(x)=0
Then,
1620-2x=0
1620=2x
Divide both sides by 2
810=x
x=810
(C) find the maximum revenue
R(x)=1620x-x^2
R(810)=1620x-x^2
=1620(810)-810^2
=1,312,200-656,100
=$656,100
