All categories

3 years ago

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

Mathematics

1 answer:

Leokris [45]3 years ago

5 0

Solve the equation replacing x with 2 and the 6:

-2^2 + 2(2) + 2 = 4 + 4 + 2 =10

-6^2 + 2(6) + 2 = 36 + 12 + 2 = 50

Difference between the answers: 50-10 = 40

Difference between 2 and 6 = 6-2 = 4

Average rate of change = 40/4 = 10

The answer is 10

You might be interested in

Can u plz help me i have 2 more to day after this one

Shalnov [3]

Answer:

$?=4$

Step-by-step explanation:

$\frac{5^2*5^6}{5^4}=5^?\\ \\\frac{5^{2+6}}{5^4}=5^?\\ \\\frac{5^8}{5^4}=5^?\\\\5^{8-4}=5^?\\\\5^4=5^?\\\\?=4$

6 0

2 years ago

Read 2 more answers

How many solutions does this system have?

ipn [44]

One solution
Hope it helped you

7 0

4 years ago

A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys

jek_recluse [69]

Answer:

The boys need to complete the run in 385.9 seconds or less in order to earn a certificate of recognition from the fitness association.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 450

Standard Deviation, σ = 50

We are given that the distribution of time for fitness test is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.10

P(X<x) = 0.10

$P( X < x) = P( z < \displaystyle\frac{x - 450}{50})= 0.10$

Calculation the value from standard normal z table, we have,

$P(z\leq -1.282) = 0.10$

$\displaystyle\frac{x - 450}{50} = -1.282\\\\x = 385.9$

Hence, boys need to complete the run in 385.9 seconds or less in order to earn a certificate of recognition from the fitness association.

8 0

4 years ago

Which expression is equivalent to the given expression?

pogonyaev

That would be D. When you factor out the "x" you get x(13-29)

6 0

3 years ago

Eight less than the product of three and a number is twenty-two

aleksandr82 [10.1K]

Answer:

The number is 10.

Step-by-step explanation:

Given that if we product 3 with a number and then subtract eight from it then we will get twenty-two.

So, if the number is x, then by the condition given we can write

3x - 8 = 22

This is a linear equation of single variable x, so it will have a single solution.

Now, 3x - 8 = 22

⇒ 3x = 30

⇒ x = 10 (Answer)

4 0

3 years ago