A)
The vertex can be determined using the completing square method.
f(x) = -(x² - 44x + 384)
= -(x² - 44x + 384 + 22² - 22²)
= -(x - 22)² - 384 + 22²
= -(x - 22)² + 100
The vertex is (22 , 100) and this means that the maximum profit(due to negative sign of coefficient of x) is $100 and is achieved when 22 combos are sold
B) 0 = -(x - 22)² + 100
x - 22 = 10
x = 32
x - 22 = -10
x = 12
This means the shop gains no profit when it sells 32 or 12 combos, and this can be due to the production cost being equal to the money gained via sales.
Answer:
radius is 7yd, height is 4 yd, v=3.14 x 7^2 x 4. The last one, I'm not too sure about but it might be V= 615.44^3
Step-by-step explanation:
Answer:
x=14
Step-by-step explanation:
x+7=21
x=14
Answer:
Step-by-step explanation:
The first questions are answered on the attachment.
Answer:
$46000
Step-by-step explanation:
if x represents the previous years revenue, and they made 35% more than x, we need to find what 35% of x is and then add it to x to get the new total, so the equation becomes:
x + .35x = 62100
1.35x = 62100
x = 46000
