Take the derivative:
g’(x) = 12x^3 - 24x^2
Set equal to zero and solve:
0 = 12x^3 - 24x^2
0 = 12x^2 (x - 2)
x = 0 or x = 2
Plug back into original
g(0) = 3(0^4) - 8(0^3)
g(0) = 0 - 0
g(0) = 0
g(2) = 3(2^2) - 8(2^3)
g(2) = 3(4) - 8(8)
g(2) = 12 - 64
g(2) = -52
There is an absolute max at (0,0) or when x = 0
Answer:
It would be B
Step-by-step explanation:
310-135=175
175/135
Answer:
x = - 2, x = 7
Step-by-step explanation:
To find the x- intercepts let f(x) = 0, that is
x² - 5x - 14 = 0 ← in standard form
(x - 7)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 2 = 0 ⇒ x = - 2
Answer:
Step-by-step explanation:
We want to make equation into slope intercept form.
Like this: y=mx+b
(mx and b are interchangeable)
Step 1) Convert equation
8x-5y=-11
Sub Step a) subtract 8x on both sides
8x-5y=-11 => -5y = -11-8x
-8x -8x
Sub step b) get y alone
-5y/-5 = -11/-5 - 8x/-5
Equation: y = 11/5 + 8x/5
Step 2) Y-intercept
B is the y-intercept.
B = 11/5
y-intercept is (0,11/5)
Step 3) X-intercept
Substitute 0 for y in our equation
0=11/5+8x
Subtract 8x on both sides
-8x = 11/5
Divide by -8 on both sides
x = -11/40
x-intercept is (-11/40,0)
