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Aneli [31]
2 years ago
9

Calculate the average rate of change of the function f(x) = mx + b over the interval 2 ≤ x ≤ 13.

Mathematics
1 answer:
Nesterboy [21]2 years ago
4 0

Answer:

m

Step-by-step explanation:

The slope of a line is constant. This means no matter the two points on the line that you use to calculate the slope you will get the same number for the slope. Your equation is in slope-intercept form, y=mx+b where m is slope and b is y-intercept. So your equation is in that exact form with the same use of constant numbers m and b where m is slope and b is y-intercept.

So the answer is m.

However, we could use slope formula = change in y divided by change in x.

Change in y from x=2 to x=13 is [(m(13)+b)-m(2)+b)]=13m+b-2m-b=13m-2m+b-b=11m+0=11m.

Change in x is 13-2=11.

So the slope is 11m/11=m.

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Which equation represents a parabola that opens upward, has a minimum value of 3, and has an axis of symmetry at x= 3?
Ilya [14]

Answer:

y=(x-3)^2+3

Step-by-step explanation:

<u><em>The correct question is</em></u>

Which equation represents a parabola that opens upward, has a minimum value of y=3, and has an axis of symmetry at x= 3?

<em>Verify each case</em>

case 1) we have

y=(x+3)^2-6

This a vertical parabola open upward (the leading coefficient is positive)---> is ok

The vertex represent a minimum ---> is ok

The vertex is the point (-3,-6)

The minimum value of y=-6 ----> is not ok

The axis of symmetry is x=-3 ----> is not ok

case 2) we have

y=(x+3)^2+3

This a vertical parabola open upward (the leading coefficient is positive)---> is ok

The vertex represent a minimum ---> is ok

The vertex is the point (-3,3)

The minimum value of y=3 ----> is ok

The axis of symmetry is x=-3 ----> is not ok

case 3) we have

y=(x-3)^2-6

This a vertical parabola open upward (the leading coefficient is positive)---> is ok

The vertex represent a minimum ---> is ok

The vertex is the point (3,-6)

The minimum value of y=-6 ----> is not ok

The axis of symmetry is x=3 ----> is ok

case 4) we have

y=(x-3)^2+3

This a vertical parabola open upward (the leading coefficient is positive)---> is ok

The vertex represent a minimum ---> is ok

The vertex is the point (3,3)

The minimum value of y=3 ----> is ok

The axis of symmetry is x=3 ----> is ok

6 0
3 years ago
Jonathon buys 3 crates of flowers. He plants 2/5 pf the flowers and then divides the remaining flowers among 5 friends. What fra
GarryVolchara [31]

Answer:

2/5 of 3 = 2/5 * 3 = 6/5....what he plants

(6/5) / 5 = 6/5 * 1/5 = 6/25 <== what each friend got

Step-by-step explanation:

7 0
3 years ago
Graph the equation.
Natalija [7]

Answer:

69

Step-by-step explanation:

nice ;)

7 0
2 years ago
I dont know how to solve this does anybody?
postnew [5]

Answer:

3x + 7 + 5

Step-by-step explanation:

I could be wrong... there are 3 x's so that would be 3x, and then the 7 and 5. sorry if i'm wrong

5 0
3 years ago
Read 2 more answers
70 divided by 10 - 3 + 1 = 11 where to put parentheses
Aleonysh [2.5K]

Answer:

70/(10-3)+1=11

Step-by-step explanation:

simplify

70/(7)+1=11

10+1=11

11=11

6 0
2 years ago
Read 2 more answers
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