9514 1404 393
Answer:
A. f^-1(x) = x³ -12
Step-by-step explanation:
The inverse function can be found by solving ...
x = f(y)
x = ∛(y +12) . . . . . use the definition of f(x)
x³ = y +12 . . . . . . . cube both sides to eliminate the radical
x³ -12 = y . . . . . . . add -12 to isolate the y-variable
f^-1(x) = x³ -12 . . . matches choice A
Divide everything by 4 getting:
7y=3x+21
then get all of the variables on one side by subtracting 3x:
7y-3x=21
Answer:
two to the five sixths power
Step-by-step explanation:
![\sqrt{2} *\sqrt[3]{2} =2^{\frac{1}{2} }*2^{\frac{1}{3} } = 2^{\frac{1}{2} +\frac{1}{3}}=\\=2^{\frac{5}{6} }](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D%20%2A%5Csqrt%5B3%5D%7B2%7D%20%3D2%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%2A2%5E%7B%5Cfrac%7B1%7D%7B3%7D%20%7D%20%3D%202%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%2B%5Cfrac%7B1%7D%7B3%7D%7D%3D%5C%5C%3D2%5E%7B%5Cfrac%7B5%7D%7B6%7D%20%7D)
Answer:
The equation is y = 4x + 5
Step-by-step explanation:
To find the equation to this table, pick two ordered pairs and use the slope formula to find the slope. For this we'll use (4, 21) and (8, 37).
m(slope) = (y2 - y1)/(x2 - x1)
m = (37 - 21)(8 - 4)
m = 16/4
m = 4
Now we can use that slope along with any point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 21 = 4(x - 4)
y - 21 = 4x - 16
y = 4x + 5
