Answer:
22
Step-by-step explanation:
1/2x + 6 = 17
subtract 6 from each side of the equation:
1/2x = 11
multiply both sides by 2:
x = 22
You need to subtract the two cutouts on each side, so the side of the box would be 24- 2x. X would then become the height of the box once folded.
The volume is found by multiplying the 4 dimensions:
The volume becomes x(24-2x)^2
Now take the derivative of the formula to solve for x
Dv/dx= (24-2x)^2 + x^2(24-2x)*-2
= 24-2x(24-2x-4x)=0
X =12 or 4
24-2x = 24-2(4) = 24-8=16
Volume = 16 x 16 x 4 = 1024 cubic inches.
Answer:
f(x) = 3x² - 15x + 12
Step-by-step explanation:
Given f(x) has roots x = a and x = b, then
(x - a) and (x - b) are the factors
f(x) is then the product of the factors
f(x) = a(x - a)(x - b) ← where a is a multiplier
Given roots are x = 4 and x = 1, then
(x - 4) and (x - 1) are the factors
With a = 3, then
f(x) = 3(x - 4)(x - 1) ← expand factors using FOIL
= 3(x² - 5x + 4) ← distribute
= 3x² - 15x + 12
Answer:
Step-by-step explanation:
We have the two functions:
And we want to find (f-g)(x).
(f-g)(x) is equivalent to f(x)-g(x).
Therefore:
Simplify:
Therefore:
Answer:
Step-by-step explanation:
Newton's Second Law: Force on a body is equal to the product of mass and acceleration of the centre of the mass of the body.
Initially:
At the end of the road:
