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Leokris [45]
3 years ago
13

Find the average rate of change of f(x) = -x² + 5x+2 from x=3 to x=6.

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0

9514 1404 393

Answer:

  -4

Step-by-step explanation:

The points at the ends of the interval are ...

  (3, f(3)) = (3, 8)

  (6, f(6)) = (6, -4)

The slope is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -8)/(6 -3) = -12/3 = -4

The average rate of change is -4.

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tom sold half of his comic books and then bought six more. he now has 12. how many did he begin with?
Troyanec [42]
B=books
Sold half of book: b/2
Bought six more: b/2+
Now has 12: b/2+6=12
Subtract 6 on both sides: b/2+6-6=12-6
b/2=6
Multiply both sides by 2: b=12
Answer= 12 books

7 0
3 years ago
A line goes through the points (1,8) and (9,12) what is the slope of the line? <br>Plz explain
Igoryamba

Answer:

2/3 or 0.67

Step-by-step explanation:

Slope = y2 - y1 /x2 - x1

Given

x1 = 1

y1 = 8

x2 = 9

y2 = 12

Slope = 12 - 8 /9 - 1

= 4/6

Reduce is by 2

2/3

Or

0.67

8 0
3 years ago
ANSWER FAST WHERE DO THEY GO :Drag the graphs to match each inequality with its solution set.
sweet-ann [11.9K]
.......................

3 0
3 years ago
Read 2 more answers
NEED HELP NOW I have 31 stamps total. I have 4 more 1-cent stamps than 8-cent stamps and twice as many one cent stamps as 12 cen
krek1111 [17]

x = number of 1-cent stamps

y = number of 8-cent stamps

z = number of 12-cent stamps

We have 31 stamps all together, so x+y+z = 31.

"I have 4 more 1-cent stamps than 8-cent stamps" means we have the equation x = y+8. Whatever y is, add 8 to it to get x. Solve for y to get y = x-8.

You also have "twice as many one cent stamps as 12 cent stamps", so x = 2z. Solving for z gets you z = 0.5x

-------------

x+y+z = 31

x+x-8+z = 31 ... y replaced with x-8

x+x-8+0.5x = 31 ... plug in z = 0.5x

2.5x-8 = 31

2.5x = 31+8

2.5x = 39

x = 39/2.5

x = 15.6

Your teacher made a typo somewhere because we should get a positive whole number result for x (since x is a count of how many 1-cent stamps we have).

8 0
3 years ago
How to calculate the Perimeter of a rectangle with length 7ft and width 3ft
Umnica [9.8K]

Answer:

Multiply each measurement by 2 then add them together

          OR

Add 7 + 3 and multiply by 2

Step-by-step explanation:

Answer would be 20ft

7 0
3 years ago
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