Answer:
13
Step-by-step explanation:
Given the equation h(x) = 2x²
To solve for h(-2) + 5 then, we need to break the problem into two parts
First, we will solve for the function h(x) at x = -2
h(x) = 2x² so
h(-2) = 2(-2)²
h(-2) = 8
Knowing this, we can plug 8 into our original expression for h(-2)
8 + 5
This gives us 13
In order to find the distance covered in 1 minute, we need to divide distance covered 2 1/6 miles by 20 minutes.We are given : Ariel swims 2 1/6 miles in every 1/3 hour.
Let us convert 1/3 hour into minutes.
There are 60 minutes in an hour.
Therefore, 1/3 hours = 60 × 1/3 = 20 minutes.
So, we could say, "Ariel swims 2 1/6 miles in every 20 minutes".
2 1/6÷ 20 = 13/6 ÷ 20.
Let us convert division sign into multiplication and flip 20 to 1/20.
We get
<h3>13/6 × 1/20 = 13/120 miles in 1 minute.</h3><h3>In decimal 0.11 mile in 1 minute.</h3>
C (third graph, the parabola); To find if it is a function or not draw a vertical line on the graph. If the vertical line could never intercept the figure more than once anywhere on the graph then it is a function.
I assume the heights are 160 ft and 1480 ft.
The two heights are unknown, so we will use variable h to help solve the problem.
The shorter building, building A, has height h.
Since building A is shorter by 160 ft, then building B is taller by 160 ft, so the height of building B is h + 160.
Now we add our two heights to find the total height.
h + h + 160 is the total height.
We can write it as 2h + 160
We are told the total height is 1480 ft, so we let 2h + 160 equal 1480, and we have an equation.
2h + 160 = 1480
Subtract 160 from both sides
2h = 1320
Divide both sides by 2
h = 660
h + 160 = 820
Building A measures 660 ft.
building B measures 820 ft.
