Answer:
A) f^-1(x)=(x-8)^3+2
Step-by-step explanation:
To find the function inverse, switch the x with y and solve for y.
![y=\sqrt[3]{x-2}+8 \\\\x=\sqrt[3]{y-2}+8\\\\(x-8)^3 = y-2\\\\ (x-8)^3 + 2 = y](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7Bx-2%7D%2B8%20%5C%5C%5C%5Cx%3D%5Csqrt%5B3%5D%7By-2%7D%2B8%5C%5C%5C%5C%28x-8%29%5E3%20%3D%20y-2%5C%5C%5C%5C%20%28x-8%29%5E3%20%2B%202%20%3D%20y)
Answer:
At least 11 two-point baskets
Step-by-step explanation:
In her last basketball game, Casey scored 46 points.
In the current game, she has scored 24 points so far.
Difference
points
If Casey wants her total score in her current game to be at least as great as her score in the last game, then she has to make at least
two-point baskets.
Answer:
LM = 2.82 ft
MN = 2.39 ft
Step-by-step explanation:
We suppose ΔGNF is isosceles and GF bisect ∠NGF, so that GK ⊥ NF
LH // MJ // NK
GL / GH = LM / HJ = MN / JK
11.3 / 10.4 = LM / 2.6 = MN / 2.2
LM = 11.3 / 10.4 x 2.6 = 2.82
MN = 11.3 / 10.4 x 2.2 = 2.39
Answer:
(2, - 3 )
Step-by-step explanation:
Given the 2 equations
y = - 3x + 3 → (2)
y = - 9x + 15 → (2)
Substitute y = - 3x + 3 into (2)
- 3x + 3 = - 9x + 15 ( add 9x to both sides )
6x + 3 = 15 ( subtract 3 from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
y = - 3(2) + 3 = - 6 + 3 = - 3
solution is (2, - 3 )