The slope of (-2, 3) & (1, 1) is ( 4, 2). The reason why the answer is (4, 2) is that if you look at a number line from left to right you'd see that -2 takes four steps to get to positive 2.
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
↑ ↑ ↑ ↑ ↑
1 2 3 4
As for the other plot, you have to think: How many times does 1 need to jump to get to 3?
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
↑ ↑ ↑
1 2
This is important to remember, the numbers to your right is your y and the numbers to your left is your x.
(-2, 3) (1, 1)
↑ ↑
y y
(-2, 3) (1, 1)
↑ ↑
x x
I hope I helped :)
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.
7) Skateboarding down a hill or a ramp. Rolling a ball on the floor. Going up and down the ramp of a moving truck.
8) Throwing a ball into the air and then catching it. Skateboarding a half-pipe. Shooting a basketball. Hitting a baseball.
Manipulating the left side of the equation, we obtain:
Using that
:
Answer:
28
Step-by-step explanation:
x-10+2=20
add -10 and 2 together to simplify the equation
x-8=20
add 8 to both sides to isolate x
x=28
hope this helped!
