Solve for g:
e = 10 g h
e = 10 g h is equivalent to 10 g h = e:
10 g h = e
Divide both sides by 10 h:
Answer: g = e/(10 h)
A dilation with a scale factor 1/4
C/3 = 6 1/7
Multiply 3 to both sides:
C = 6 1/7 * 3
Convert 6 1/7 into an improper fraction:
C = 43/7 * 3
Multiply 3 to the numerator:
C = 129/7
Convert back into a mixed number:
C = 18 3/7
This question gives you information to make a system of equations, which you then use substitution to solve.
Answer:
b. ![\sqrt[3]{4x+2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4x%2B2%7D)
Step-by-step explanation:
f(x) = ( x^3-2) /4
y = ( x^3-2) /4
Exchange x and y
x = ( y^3-2) /4
solve for y
Multiply each side by 4
4x = 4( y^3-2) /4
4x = y^3 -2
Add 2 to each side
4x+2 = y^3
Take the cubed root of each side
( 4x+2) ^ (1/3) = y^3 ^(1/3)
( 4x+2) ^ (1/3) =y