Answer:
Line in slope-intercept form: y = 4/3 x + 4
y-intercept: 4
Slope: 4/3
Coordinates: (-3,0) and (0,4)
Step-by-step explanation:
In case you want to check the coordinates, just use this formula⤵⤵⤵ (Sorry if it's a bit small btw).
Plug it in: ⤵⤵⤵
4 - 0 = 4
0 - (-3) = 0 + 3 = 3
Slope = 4/3
Since the coordinates equal our slope when we plug it in, that's how we know they are correct.
Hope this helps :)
I assume (x-4)3 means (x-4)³. What we wish is to set the derivative equal to zero.
Expanding the T(x) polynomial makes it easier for me to take the derivative.
So (x-4)³ = x³ - 12x² + 48x - 64 + 6
T'(x) = 3x² - 24x + 48
We can factor out a 3 and set this to zero:
x² - 8x + 16 = 0
(x -4)² = 0
x = 4 should therefore represent the turning point.
I am mildly chagrined, I almost used the f'(x) = nx^(n-1) function at first, which appears would have been correct.
You have to multiply how many pounds Jake can carry and how many pounds Jake's dad can carry.
Answer:
7.5
Step-by-step explanation:
because 7.5 x 16 = 120
