What is the unit rate for 24 ounces or mozzarella cheese for $2.88?

The graph below shows the height of a tunnel f(x), in feet, depending on the distance from one side of the tunnel x, in feet:

Soloha48 [4]

Part A: What do the x-intercepts and maximum value of the graph represent?

There are two x-intercepts: x = 0 and x = 36

Those values are the points at which the height of the tunnel is 0.

That means that the width of the tunnel at the ground level is 36 - 0 = 36.

The maximum value of the graph is 32, at x= 18. That, represents that at the center, x= 18, the tunnel has a height of 32.

What are the intervals where the function is increasing and decreasing, and what do they represent about the distance and height? (6 points)

The interval where the function is increasing is (0,18) and the interval where teh function is decreasing is (18,36)

That represents that the height starts to increase with the distance (from 0 to 18) reaches a maximum of 32, at x = 18, and starts to decrease with the distance until x = 36.

Part B: What is an approximate average rate of change of the graph from x = 5 to x = 15, and what does this rate represent? (4 points)

The average rate of change from x = 5 to x = 15 is the change in height divided by the change in distance

=> average rate of change = Δy / Δx

Δy ≈ 31 -14 = 17

Δx = 15 - 5 = 10

=> Δy / Δx ≈ 17 / 10 = 1.7

7 0

4 years ago

X % of $5 = $4 Please help

ASHA 777 [7]

Answer: 80%

Explanation 4/5=.8

4 0

3 years ago

What comes first 7.0 cm; 7.00 cm; 7 cm

Trava [24]

Answer:

7cm

Step-by-step explanation:

Other option are not whole numbers rather they are decimal numbers

6 0

3 years ago

Write the slope-intercept form of the equation that passes through the point (-1, 2) and is parallel to the line y = 3/2x + 6

horsena [70]

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Answer: $\textsf{y = 3/2x + 7/2}$

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Given: $\textsf{Passes through (-1, 2) and parallel to y = 3/2x + 6}$

Find: $\textsf{The equation in slope-intercept form}$

Solution: In order to determine the equation we know that our line is going to be parallel which means that the slope is the same and we need to use the point-slope form to help us. After plugging in the values we just simplify and solve for y to convert to slope-intercept form.

Plug in the values