Answer:
9x² - 54x + 79
Step-by-step explanation:
To find (f ○ g)(x) substitute x = g(x) into f(x), that is
f(g(x))
= f(3x - 7)
= (3x - 7)² - 4(3x - 7) + 2 ← expand factor using FOIL
= 9x² - 42x + 49 - 12x + 28 + 2 ← collect like terms
= 9x² - 54x + 79
Answer:
The capacity of smaller cooler = 7.5 gallons
The capacity of bigger cooler = 37.5 gallons
Step-by-step explanation:
Let smaller cooler's capacity be x gallons
Hence
Larger cooler's capacity will be 5x gallons
Together, they will hold 45 gallons, thus we can write:
x + 5x = 45
Solving:
x + 5x = 45
6x = 45
x = 45/6 = 7.5
And 5x = 5(7.5) = 37.5
The capacity of smaller cooler = 7.5 gallons
The capacity of bigger cooler = 37.5 gallons
Answer:
225 minutes
Step-by-step explanation:
45 min = 20% = 20/100
20 x 5 = 100
45 x 5 = 225