An athletic director pays $90 for 12 sun visors for the
softball team. The rate per sun visor is equal to $90 / 12 sun visor = $ 7.5
per sun visor. So the athletic director should pay ($ 7.5 per sun visor)*(15
sun visor) = $ 112.5
Fabric needs to make a dress = 3 1/4
fabric needs to make jacket= 3 1/4 - 5/6
= 29/12 or 2 5/12
Hence total fabric needed for both pieces is
= 3 1/4 + 2 5/12
= 68/12 or 5 8/12 or 5 2/3 yards
Do cross multiplication
<u>6</u> = <u>x</u>
18 12
Now cross multiply
(6)(12) = (18)(x)
72 = 18x
Divide both sides by 18
<u>72</u> = <u>18x</u>
18 18
4 = x
So tMei can complete 4 problems in 12 minutes.
Answer:
x = - 
Step-by-step explanation:
To find f(g(x)) substitute x = g(x) into f(x), that is
f(g(x))
= f(x + 1)
= 2(x + 1)² ← expand using FOIL
= 2(x² + 2x + 1) ← distribute
= 2x² + 4x + 2
To find g(f(x)) substitute x = f(x) into g(x), that is
g(f(x))
= g(2x²)
= 2x² + 1
----------------------------------------------------------
Equating gives
2x² + 4x + 2 = 2x² + 1 ( subtract 2x² + 1 from both sides )
4x + 1 = 0 ( subtract 1 from both sides )
4x = - 1 ( divide both sides by 4 )
x = - 