All categories

2 years ago

What is the average rate of change for this quadratic function for the interval

Mathematics

1 answer:

stealth61 [152]2 years ago

6 0

<h3>Answer: -4 (choice B)</h3>

==========================================================

Explanation:

The table says that when x = 1, the output is y = -2.

So the point (1, -2) is on the parabola.

The table also says that point (3, -10) is on the parabola. We're focusing on this because x = 3 is the other endpoint.

Find the slope of the line through those two points. The slope here is the same as the average rate of change.

m = (y2 - y1)/(x2 - x1)

m = (-10 - (-2))/(3 - 1)

m = (-10 + 2)/(3 - 1)

m = -8/2

m = -4 is the slope, and therefore, the average rate of change from x = 1 to x = 3.

You might be interested in

Help ASAP!!<br><br> i need help finding out the pattern of 3 and 4

melomori [17]

Answer:

See below.

Step-by-step explanation:

For 3, we have:

1, 3, 6, ___, 15, 21, _____, 36, _______

Let's try to determine the pattern. From 1 to 3, we added 2.

From 3 to 6, we added 3.

So, it seems that the fourth term would be to add 4, and then add 5. Let's try it:

6+4=10

10+5=15.

So, it seems we're correct. So, we will add 6, then 7, and then 8, etc. Therefore, our correct sequence would be:

1 (+2), 3 (+3), 6 (+4), 10 (+5), 15 (+6), 21 (+7), 28 (+8), 36 (+9), 45

For 4, we have:

100, _____, 64, ______, 36, 25, _______

Notice that these all are perfect squares. 10 squared is 100, 8 squared is 64, etc. Thus, we can rewrite this as:

10², _____, 8², ______, 6², 5², ______

Therefore, our blanks would be:

10², 9², 8², 7², 6², 5², 4².

Evaluated, this woul be:

100, 81, 64, 49, 36, 25, 16.

And we're done!

7 0

3 years ago

Read 2 more answers

In a sample of 800 U.S. adults, 199 think that most celebrities are good role models. Two Two U.S. adults are selected at rand

mel-nik [20]

Answer:

Step-by-step explanation:

Given that in a sample of 800 U.S. adults, 199 think that most celebrities are good role models. Two Two U.S. adults are selected at random from the population of all U.S. adults without replacement.

In 800 adults 199 are favourable and remaining 601 are against.

a) The probability that both adults think most celebrities are good role models is ________= Prob of selecting both from 199

= $\frac{199C2}{800C2} \\=0.0616$

=0.062

b) The probability that neither adult thinks most celebrities are good role models is _______=P(both selecting from 601)

= $\frac{601C2}{800C2} \\=0.5641$

=0.564

c) The probability that at least one of the two adults thinks most celebrities are good role models ______

=1-Prob that neither thinks

= 1- 0.564

= 0.436

6 0

3 years ago

Andre earns $12 per hour tutoring students after school. If Andre tutored for 24 hours this month, how much money did he earn th

Akimi4 [234]

Answer:

288

Step-by-step explanation:

12 per hour

24 hours

12×24=288$

4 0

2 years ago

Read 2 more answers

Shock is the Best estimate of the capacity of a pitcher of water

astra-53 [7]

Yes it sure is dpanky

5 0

2 years ago

Solve the following equation for x.

makkiz [27]

Answer:

you're answer is d

Step-by-step explanation:

you make the 9 positive and add 9 to -51 and you get -42 then you divide by 6 and get -7

3 0

3 years ago