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Marysya12 [62]
4 years ago
7

Mail Delivery

Mathematics
1 answer:
Elodia [21]4 years ago
4 0

Answer:

125, 130, and 135

Step-by-step explanation:

Numbers go up by 5 each time

120 + 5 = 125

125 + 5 = 130

130 + 5 = 135

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Find the average rate of change of f ( x ) = 3 x 2 − 9 on the interval [ 2 , b ] . Your answer will be an expression involving b
iVinArrow [24]

Answer:

m = 3b+6

Step-by-step explanation:

Given

f(x)=3x^2 - 9

Required

The average rate over [2,b]

Average rate (m) is calculated using:

m = \frac{f(b) - f(a)}{b - a}

Where

[a,b] = [2,b]

So, we have:

m = \frac{f(b) - f(2)}{b - 2}

Calculate f(b) and f(2)

f(x)=3x^2 - 9

f(b)=3b^2 - 9

f(2)=3*2^2 - 9 = 12 - 9 = 3

So, we have:

m = \frac{f(b) - f(2)}{b - 2}

m = \frac{3b^2 - 9 - 3}{b - 2}

m = \frac{3b^2 - 12}{b - 2}

Expand the numerator

m = \frac{3b^2 + 6b-6b-12}{b - 2}

Factorize

m = \frac{b(3b + 6)-2(3b+6)}{b - 2}

Factor out 3b + 6

m = \frac{(b -2)(3b+6)}{b - 2}

Cancel out b - 2

m = 3b+6

4 0
3 years ago
PLEASE HELP ME QUICKLY<br> PLZ EXPLAIN THX
Ray Of Light [21]
The second one is correct
6 0
3 years ago
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The triangles below are not drawn to scale or to proper proportions.
Lesechka [4]

Answer/Step-by-step explanation:

Given:

m<A = 115,

m<B = 78,

m<C = 35,

✔️m<1 = 180 - m<A (angles on a straight line/supplementary angles)

m<1 = 180 - 115 (substitution)

m<1 = 65°

✔️m<2 + m<1 + m<B = 180° (sum of interior angles of a triangle)

m<2 + 65 + 78 = 180

m<2 + 143 = 180

m<2 = 180 - 143 (substitution property of equality)

m<2 = 37°

✔️m<3 = 180° - m<B (supplementary angles)

m<3 = 180 - 78

m<3 = 102°

4 0
3 years ago
Marisol bought a rug that is 8 feet long and 5 feet wide what is the area of the rug
Inessa05 [86]

Answer:

a= 40

area=length*width

area=8*5

area=40

hope this helped!

Step-by-step explanation:

8 0
3 years ago
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What's the 7th letter of the alphabet?
son4ous [18]
The answer to this question is G
7 0
3 years ago
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