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.
Volume=height times area of base
area of base=pi times r^2
volume=(h)(pi)(r^2)
diameter=2r
diameger=8
8=2r
divide 2
4=r
h=3 times r
h=3r
r=4
h=3(4)
h=12
r=4
h=12
pi=3.14
subsitute
volume=(12)(3.14)(4^2)
volume=(12)(3.14)(16)
volume=602.88 in^3
Answer:
13-13i
Step-by-step explanation:
2(5+i)-3i(5+i)
10+2i-15i-3i²
10-13i+3
13-13i
36. You can search it up and look at a times table chat or you can do this 6x5=30+6=36
Answer:
complementry. x=60
Step-by-step explanation:
