He should buy two 5 pound bags and one 2 pound bag.
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
You simply need to devide the distance by the speed to get the time, so: 600÷50= 12hrs
This is only if you drive the same speed rhe whole way and do not stop. If you stopped you need to add the delay to the time.
For example: if you delayed 20 min altogether you need to add 12:00+00:20= 12:20.
Answer:
A and C
Step-by-step explanation:
Answer:
m∠3 = 56
Step-by-step explanation:
Let's solve for x, first:
x + 9 = 3x - 85
9 = 2x - 85
94 = 2x
94/2 = x
47 = x
Now that we have x-value, we can substitute it in any one of the given equation to find angle 3 since, angle 1, 7 and 3 all are congruent:
=> m∠7 = x + 9
=> m∠7 = 47 + 9
=> m∠7 = 56
Since m∠7 ≅ m∠3
and m∠7 = 56, then
<u>m∠3 = 56</u>
Hope this helps!