Answer:
x = 3 ±
or
x = 3 + , x = 3 -
Step-by-step explanation:
given f(x) = 2(x - 3)^2 - 8, find when f(x) = 40
So, we plug in 40 for f(x) in the 1st equation and solve for x. (Aim to got x on its own)
40 = 2 (x - 3)^2 - 8
+ 8 + 8
-----------------------------
48 = 2 (x - 3)^2
/2 /2
-----------------------------
24 = (x - 3)^2
square root both sides
--------------------
= x - 3
x = 3 ±
<u><em>3 is one of the factors of 18</em></u>
<u><em>3×6=18</em></u>
The function for this would be
f(x)= 70x + 5
Plug the 4 and half hours (4.5) into the function
f(x) = (70 x 4.5) + 5
You then get 315 from multiplying 70 and 4.5. Then add the additional 5 from gasoline.
You end up with 320$ for working 4 and a half hours
X=2
y=0
Answer in photo below. Good luck