Part A Simplify:
Answer is - 12b + 6c + 18
Part B
Answer is (D)
Factor/simplify
- 12b + 6c + 18
6(- 2b + c + 3)
= (6)(- 2b + c + 3)
= (6)(- 2b ) + (6)(c) + (6)(3)
= - 12b + 6c + 18
therefore,- 12b + 6c + 18; Factored in GCF is 6(-2b + c + 3)
- 12b + 6c + 18
reorder the terms
18 + 12b + 6c
Factor out the GCF " 6"
6(3 + 2b + c)
Final Result:
6(3 + 2b + c)
Hope this helps
By using the arc length formula, we will see that the length of the curve is L = 1.48
<h3>
How to use the arc length formula?</h3>
Here we have the curve:
y = 2 - x^2 with 0 ≤ x ≤ 1
And we want to find the length of the curve.
The arc length formula for a curve y in the interval [x₁, x₂] is given by:

For our curve, we have:
dy/dx = -2x
And the interval is [0, 1]
Replacing that we get:

This integral is not trivial, using a table you can see that this is equal to:

evaluated from x = 1 to x = 0, when we do that, we will get:

That is the length of the curve.
If you want to learn more about curve length, you can read:
brainly.com/question/2005046
I guess you want to find the average speed for the whole journey
average speed = distance travelled / time
the distance from home to the shop = speed * time = 0.5*10 = 5 miles
time for travelling back = distance / speed = 5/30 = 1/6 hours
average speed for whole journey = 10 / (1/2 + 1/6) = 10 * 3 / 2 = 15 mph
Im pretty sure he can travel 800 miles not counting the truck rental fee. Im not 100% sure though.
Hope this helps!