Answer: (x,y)=(14/4,0)
Step-by-step explanation:
y=-2(x-3)(2)+2
Clear the brackets
y=-2(2x-6)+2
y=-4x+12+2
y=-4x+14
To get the x-intercept y=0
0=-4x+14
4x=14
x=14/4
(x,y)=(14/4,0)
Okay, the image is a little tough to see, but I believe it looks something like this:
(5² -10 / 17 - 3 * 4) -1
The first step [remember PEMDAS] is parentheses
Next comes Exponents:
(25 - 10 / 17 - 3 * 4) -1
Then Multiplication:
(25 - 10 / 17 - 12) - 1
Then Division [which we can't do yet since it isn't fully simplified], so we skip to Addition... nothing again, then subtraction.
(15 / 5) - 1
Then we can divide:
(3) - 1
Then subtract!
2
The answer to your problem is 2.
Hope that helps!
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 $
I think it may be a slope intercept form