Let's divide the shaded region into two areas:
area 1: x = 0 ---> x = 2
ares 2: x = 2 ---> x = 4
In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.
Area 1:

Area 2:





Therefore, the area of the shaded portion of the graph is
A = A1 + A2 = 5.34
Answer:
89,250 miles
Step-by-step explanation:
you divide 38,250 by 3 to get how many miles he drove a year, then multiply it by 7 for the seven years and you get 89,250 miles in 7 years.
393/393 - 168/393 = 225/393
Simplify 225/393 by 3 because that is is the fractions GCF
75/131
Answer:
2x + 4
Step-by-step explanation:
Let R = Ralph's age
and x = Sarah's age
Then Ralph's age in 4 years = R + 4
and Sarah's age in four years = x + 4
Thus, R + 4 = 2(x + 4)
Distribute the 2 R + 4 = 2x + 8
Subtract 4 from each side R = 2x + 4
Ralph's age is 2x + 4.