MATHEMATICS MIDDLE SCHOOL

Find the average rate of change for f(x) = x2 + 9x + 18 from x = 10 to x = 20.A) 33
B) 37
C) 39
D) 41

Answers

Answer 1
Answer:

Answer:

The average rate of change is 39

Step-by-step explanation:

First, plug x=10 and x=20 into the formula:  

10^2+90+18

190+18

208

20^2+180+18

400+198

598

598-208=390

390/10 = 39

The average rate of change is 39

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4. Find the measure of each interior angle of a regular polygon with 12 sides.1800 degrees
150 degrees
180 degrees
145 degrees

Answers

For any regular polygon the formula for each interior angle is (180(n-2))/n where n is the number of sides.
Now we'll put 12 in there and it is:
(180(12-2))/12
180(10)/12
1800/12
150 degrees.

Hope this helps :)

A trapezoid has an area of 13.5 square inches. If the bases are 3 and 6 inches what is the height?

Answers

well the formula is : b1+b2/2 (h)

so the height would be solved as : 
13.5 = 3+6/2 (h)
13.5 = 9/2 (h)
h = (13.5)/(9/2)
h = (13.5) x (2/9)  *reciprocal*
h = (27) / (9)
h = 3

Explain how to estmate 586- 321 two different ways

Answers

Estimating Sums and Differences: Explain how to estimate 368 + 231 two different ways. Explain how to estimate 586 – 321 two different ways. Why is it important to estimate before solving a problem? Which gives an estimate that is closer to the exact sum: rounding to the nearest ten or rounding to the nearest hundred

A veterinarian has found that 4 cat years equal 32 human years, and 8 cat years equal 48 human years. Are cat years proportional to human years? Explain your reasoning.

Answers

No, because for them to be proportional they have to be equal, which they aren't say they were each cat year is 8 human years so the first is right but for the second one to be right it has to be 64. Hope this helps you out.

Natasha and Jorge were asked to find the quotient to the decimal division problem 18.8÷1.6 . Natasha says her answer is 11.75. Jorge says his answer is 1.175. a. Who is correct? Natasha or Jorge? b. Explain how you know who is correct. Include in your explanation at least one possible error the student who was incorrect made

Answers