Answer:
To have maximum profit, the price must be increased by 5,
Step-by-step explanation:
Given that the price increase function is:
f(x) = -2x² + 20x + 150,
For maximum profit, then f(x) = 0.
Putting f(x) = 0, we have
-2x² + 20x + 150 = 0
Or
x² - 10x - 75 = 0
(x + 5)(x - 15) = 0
x = -5
Or
x = 15
Again, differentiating f(x) and equating to zero, we have
-4x + 20 = 0
4x = 20
x = 20/4
= 5
To have maximum profit, the price must be increased by 5,
Answer:
93.5
Step-by-step explanation:
trust me im a verified genius
Answer:
m = - 3
Step-by-step explanation:
a³ + 27 ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²), thus
a³ + 27
= a³ + 3³
= (a + 3)(a² - 3a + 9)
comparing a² - 3a + 9 to a² + ma + 9, then
m = - 3
75 - 18.5 = 56.5
the number is 56 1/2 or 56.5
Answer:
see below
Step-by-step explanation:
The three sides add to 51
n + 4n-4 + 4n-8 = 51
9n -12 = 51
9n = 63
n = 7 4n-4 = 24 4n-8 = 20
