What is the average rate of change from x = 0 to x = −2?

Mathematics

1 answer:

Sergio039 [100]3 years ago

7 0

<h3>Answer is -3</h3>

How I got that answer:

The graph shows the two points (0,-4) and (-2,2) are on the parabola. The x coordinates of both points are from x = 0 and x = -2 as given in the instructions. Compute the slope of the line through those points. The slope of this line is the exact same as the average rate of change from x = -2 to x = 0.

m = (y2 - y1)/(x2 - x1)

m = (2 - (-4))/(-2-0)

m = (2 + 4)/(-2-0)

m = 6/(-2)

m = -3

A negative slope means the line slopes downhill as you move from left to right. This is a negative average rate of change.

You might be interested in

What does 2/4 + 5/10 equal

IRISSAK [1]

5/10 = 1/2
2/4 = 1/2
so 1/2 + 1/2 = 2/2 = 1
answer
1

6 0

4 years ago

Solve 4e^1+3x-9e^5-2x=0

saveliy_v [14]

Answer:

its 24x trust me I did this

7 0

3 years ago

Determine weather it is no solution many solutions or one solutions <br> 3(6-4m)=2(9-6m)

Vinil7 [7]

Answer:

Many solutions

Step-by-step explanation:

7 0

3 years ago

A rectangular box has length x and width 3. The volume of the box is given by y = 3x(8 – x). The greatest x-intercept of the gra

CaHeK987 [17]

Consider rectangular box with

length x units (x≥0);
width 3 units;
height (8-x) units (8-x≥0, then x≤8).

The volume of the rectangular box can be calculated as

$V_{box}=\text{length}\cdot \text{width}\cdot \text{height}.$

In your case,

$V_{box}=3\cdot x\cdot (8-x).$

Note that maximal possible value of the height can be 8 units (when x=0 - minimal possible length) and the minimal possible height can be 0 units (when x=8 - maximal possible length).

From the attached graph you can see that the greatest x-intercept is x=8, then the height will be minimal and lenght will be maximal.

Then the volume will be V=0 (minimal).

Answer: correct choices are B (the maximum possible length), C (the minimum possible height)