f(h(x))= 2x -21
Step-by-step explanation:
f(x)= x^3 - 6
h(x)=\sqrt[3]{2x-15}
WE need to find f(h(x)), use composition of functions
Plug in h(x)
f(h(x))=f(\sqrt[3]{2x-15})
Now we plug in f(x) in f(x)
f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6
cube and cube root will get cancelled
f(h(x))= 2x-15 -6= 2 x-21
wait i think i did the wrong one brb
Answer: 3/2
Step-by-step explanation:
the formula to find slope is:
m = rise/run = 
In this case:
m = 3/2 = 
Answer:
x=11, y=2
Step-by-step explanation:
We can set 1 equal to x-5y and then solve for x. and y.
x = 5y+1
y = x-1/5
We can use this information and plug back in the values for 3y-x or x-5y.
We can set -3 = 3y-x or 1 = x-5y.
To solve for x using -3 = 3y-x we can swap the values of x and y which would make it -3 = 3(x-1/5)-5(x-1/5)+1.
We can do a bit of algebra which would get us x = 11.
Knowing that y = x-1/5 we can plug in 11 for x. y = 11-1/5.
y=2
x=11, y=2
Let the slower cars speed equal X.
The faster cars speed would be X+5 ( 5 mph faster).
They traveled for 3 hours
Multiply the time of travel by speed to equal the number of miles traveled.
So you have:
3X + 3(X+5) = 267 miles
Simplify the left side:
3X + 3X+15 = 267
Combine like terms:
6x + 15 = 267
Subtract 15 from each side"
6x = 252
Divide each side by 6:
x = 252 / 6
X = 42
The slower car was traveling at 42 mph and the faster car was traveling at 47 mph.
Answer:
It would be a profit of .35 cents
Step-by-step explanation:
