We factor the equation to get:
-(x-25)^2+361
In the form a(x-h)^2+k, the vertex is (h, k), so the vertex is (25, 361). This means that the studio makes the most profit from selling 25 memberships, and thus makes 361 dollars.
B. The x-intercepts are the values of x for which f(x) is 0. This equation can be factored as (-a+6)(a-44)=0, with solutions 6 and 44. Therefore, by selling either 6 memberships or 44 memberships, the studio breaks even, neither making nor losing money.
Answer: 0.04 per pound
Step-by-step explanation:
A 5 pound bag of apples costs 4.50.
The unit price will be 4.50 divided by 5 which will be:
4.50 ÷ 5 = 0.9
The unit price is 0.9 per pound
A 8 pound bag of the same type of apples costs 7.52.
The unit price will be 7.52 divided by 8 which will give:
7.52 ÷ 8 = 0.94
The unit price is 0.94 per pound
The difference in the unit prices will be the subtraction of 0.90 from 0.94.
0.94 - 0.90 = 0.04
The difference in the unit prices is 0.04 per pound.
Normally I'd put 0.1176 but since it's to the nearest tenth it is .1
I think it’s all the triangles. Because it looks like they all apply to this.
Answer:
x =
y =
Step-by-step explanation:
Since both expressions 2x+9 and 9x+10 are equal to y, set them equal to each other forming an equation in x
2x+9 = 9x+10
Now, solve the equation:
2x-9x = 10-9
-7x = 1
x =
Then, substitute the given value of x in any of the two equations given, let's take y = 2x+9
y = 2×(-1/7)+9
y =
That's it! I hope that this explanation was helpful ;)