9, because 84 - 3 is 81 and then 81 divided by 9 is 9.
Answer:
-3x + 19
Step-by-step explanation:
f(x) = -5² - 4
f(x) = 25 - 4
f(x) = 21
(f+g)(x) = f(x) + g(x)
21 + -3x - 2
-3x + 19
I believe it is 256cm total
Payment on Plan A = $300
x is the number of hours Jake works.
Payment on Plan B = Fixed charges + (charge per hour) × (number of hours worked)
= $150 + $6.25(x)
= 150 + 6.25x
Since, the payment on Plan B should be more than Plan A,
150 + 6.25x > 300
6.25x > 300 - 150
6.25x > 150
x > 24
The minimum vale for x which satisfies this inequality is 25.
Hence, x = 25.
Answer:
x = 2,94 ft
h = 0,88 ft
C(min) = 12,23 $
Step-by-step explanation:
Let x be radius of the base and h th hight of th cylinder then
Area of the bottom A₁ = π*x²
And cost of the bottom C₁ = 0,15*π*x²
Lateral area A₂
A₂ = 2*π*x*h but V = 24 ft³ V = π*x²*h h = V/ π*x²
A₂ = 2*π*x* (24/ π*x²)
A₂ = 48 /x
Cost of area A₂
C₂ = 0,05 * 48/x
C₂ = 2,4/x
Total cost C C = C₁ + C₂
C(x) = 0,15*π*x² + 24/x
Taking derivatives on both sides of the equation
C´(x) = 0,3**π*x - 24/x²
C´(x) = 0 0,3**π*x - 24/x² = 0
0,942 x³ = 24
x³ = 25,5
x = 2,94 ft and h = V/π*x² h = 24 /3,14* (2,94)²
h = 0,88 ft
C(min) = 0,15 * 3,14 * (2,94)² + 24/2,94
C(min) = 4,07 + 8,16
C(min) = 12,23 $