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Vikentia [17]
3 years ago
11

For the function y=x^2+5, find the average rate of change over the interval -2≤x≤6

Mathematics
1 answer:
Ahat [919]3 years ago
5 0
7 - 8 = -1
the rate of change is -1
Hope this is right,
Batgirl12
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How do you solve this? r^2+32=12r
Andre45 [30]

Answer:

r = {-8, -4}

Step-by-step explanation:

Simplifying

r2 = -32 + -12r

Solving

r2 = -32 + -12r

Solving for variable 'r'.

Reorder the terms:

32 + 12r + r2 = -32 + -12r + 32 + 12r

Reorder the terms:

32 + 12r + r2 = -32 + 32 + -12r + 12r

Combine like terms: -32 + 32 = 0

32 + 12r + r2 = 0 + -12r + 12r

32 + 12r + r2 = -12r + 12r

Combine like terms: -12r + 12r = 0

32 + 12r + r2 = 0

Factor a trinomial.

(8 + r)(4 + r) = 0

Subproblem 1

Set the factor '(8 + r)' equal to zero and attempt to solve:

Simplifying

8 + r = 0

Solving

8 + r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + r = 0 + -8

Combine like terms: 8 + -8 = 0

0 + r = 0 + -8

r = 0 + -8

Combine like terms: 0 + -8 = -8

r = -8

Simplifying

r = -8

Subproblem 2

Set the factor '(4 + r)' equal to zero and attempt to solve:

Simplifying

4 + r = 0

Solving

4 + r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + r = 0 + -4

Combine like terms: 4 + -4 = 0

0 + r = 0 + -4

r = 0 + -4

Combine like terms: 0 + -4 = -4

r = -4

Simplifying

r = -4

Solution

r = {-8, -4}

3 0
2 years ago
Find the perimeter and area of the figure​
Ludmilka [50]

Answer:

C.

Step-by-step explanation:

C. is the only answer option with the correct perimeter of 18u

area is correct too

5 0
3 years ago
Read 2 more answers
What is the distance between point A and point B?
Tpy6a [65]

Answer:

\sqrt{45}

Step-by-step explanation:

(5,9) and (2,3)

then by distance formula

d =  \sqrt{{(x1 - x2)}^{2} +  {(y1 - y2)}^{2} }

d²=3²+6²

d²=9+36

d²=45

d =  \sqrt{45 }

8 0
2 years ago
What is the y- intercept of the line shown?
timofeeve [1]
Y-intercept when x = 0
so 
y = 4
8 0
2 years ago
Wilma and Fred rode their bikes toward each other from points on a straight road 32 miles apart. If Fred rode 3 miles per hour f
Firdavs [7]

Answer:

wilma is 22.5 mph

fred is 25.5 mph

Step-by-step explanation:

Time:40 minutes, or 2/3 hours

Speed:

Fred:x+3

Wilma: x

Distance:32 miles

2/3(x+x+3)=32

2/3(2x+3)=32

1 1/3x+2=32

4/3x=30

x=22.5

wilma is 22.5 mph

fred is 22.5+3= 25.5 mph

6 0
3 years ago
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