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2 years ago

Find the average rate of change of the function below over the interval (-4,-1).

Mathematics

1 answer:

babymother [125]2 years ago

5 0

Answer:

-2

Step-by-step explanation:

$\frac{f(b)-f(a)}{b-a}\\ \\=\frac{f(-1)-f(-4)}{-1-(-4)}\\ \\=\frac{-4-2}{-1+4}\\ \\=\frac{-6}{3}\\ \\=-2$

Therefore, the average rate of change over the interval [-4,-1] is -2.

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Please help with this

nika2105 [10]

Answer:

use 2 defined points.

Lets use: (-3,0) and (0,3)

The equation is written as y = mx+b, where m is the slope and is the y-intercept

Slope - change in y / change in x:

Slope = (3 -0) /(0- -3) = 3/3 = 1

b is the y-intercept which is the y value when x is o, which is one of the points (0,3) so b = 3

The equation becomes y = x +3

5 0

3 years ago

Alex wants to buy a video game that sells for $59.99. An advertisement says that next week that video game will be on sale for $

Andrew [12]

This is just simple subtraction, 59.99 - 47.50

The answer is C: 12.49

5 0

3 years ago

A die is rolled. What is the probability that the number is a factor of 6 or more than 2? Does this scenario represent mutually

goblinko [34]

Factors of 6 are : 1,2,3 and 6.

Let us find probability of getting the number that is a factor of 6.

$P(\text{ The number is a factor of 6})=\frac{4}{6} =\frac{2}{3}$

Now let us find probability of getting a number more than 2 (3,4,5,6).

$P(\text{ The number is a greater than 2})=\frac{4}{6} =\frac{2}{3}$

We can see that these two events are mutually inclusive events. We can find probability of mutually inclusive events by formula $P(\text{X or Y})=P(X)+P(Y)-P(\text{X and Y})$ .

$P(\text{ The number is a factor of 6 and greater than 2})=\frac{2}{6} =\frac{1}{3}$

Now we will find probability of getting the number is a factor of 6 or more than 2 using above formula.

$P(\text{ The number is a factor of 6 or greater than 2})=\frac{2}{3} +\frac{2}{3}-\frac{1}{3}$

$P(\text{ The number is a factor of 6 or greater than 2})= \frac{4}{3}-\frac{1}{3}=\frac{3}{3}=1$

Therefore, our probability will be 1 and this scenario represents mutually inclusive events.

6 0

3 years ago

Make a conjecture. What properties do you think stay the same after a translation? Check all that apply. angle measures length o

Andrews [41]

I would check all of these answers because basically, when performing a translation, you are simply moving the shape around. It is not being stretched or manipulated in shape so the angle measures, length, shape, and size would not change. Also, a translation does not rotate the object, so the orientation would not change either. :)

4 0

3 years ago

Read 2 more answers

3l of ice cream is 10$ 4l of ice cream is 12% which is the better choice

Korolek [52]

Answer:

4l of icecream

Step-by-step explanation:

10÷3=3.33

12÷4=3

3 0

2 years ago