the rate of change of function g from x=-3 to x=-1 is the same as it is from x=-1 to x=1. Is function g linear, quadratic or exponential?

Answers

Answer 1

Answer:

We conclude that we conclude that the rate of change of a linear function g from x=-3 to x=-1 is the same as it is from x=-1 to x=1.

Thus, the function is linear.

Step-by-step explanation:

We know that the rate of change remains constant for a linear function.

In other words, the rate of change does not change for the entire domain of a linear function.

Comparing with the slope-intercept form

The slope-intercept form of a linear function is

[tex]y = mx+b[/tex]

where m is the slope or rate of change

For example, considering the linear function

[tex]y = 6x + 4[/tex]

Then the average rate of change is 6 over any interval selected.

Therefore, we conclude that we conclude that the rate of change of a linear function g from x=-3 to x=-1 is the same as it is from x=-1 to x=1.

Thus, the function is linear.


Related Questions


If the radius is 21 cm and the angle at
center of circle is 140° then the length of
the arc is ?

Answers

Step-by-step explanation:

Given: Radius , r =21 cm

The angle at the center of the circle, n° =140°

Length of an arc =?

W.K.T Formula, Length of an arc = 2πr( n°÷360°) units

= 2*(22/7)*21*(140°/360°)

= 154/3

= 51.33cm

Answer:

2*(22/7)*21*(140°/360°)

= 154/3

= 51.33cm

Step-by-step explanation:

If $18,000 is invested at 9% for 15 years. Find the future value if the interest is compounded semi-annually. Please round the answer to the nearest cent (two decimal places) . Enter only the number without $ sign.

Answers

Answer:

$67415.73

Step-by-step explanation:

we know that

FV = P(1+r/n)^nt

where FV = future value

P= Present values =$18000

r= rate of interest =9%

n= year. = 15 year

here , the interest is compounded semi-annually

this means  n= 30 , r= 4.5%

plugging the value we have

FV = 18000(1.045)^30= $67415.7264= $67415.73

4. After taking 20% off the original price, Amber paid $35 for her dress. What was the original price? A. $63.75 B. $54.25 O C. $49.50 D. $43.75​

Answers

Answer: D. $43.75

Step-by-step explanation:

What is the length of the unknown leg in the right triangle

Answers

Answer:

i think it might be 15m

Step-by-step explanation:

A statistics teacher has 4 periods of introductory statistics. She wants to get students’ opinions on a new homework policy. To get a sample, the teacher lists every student’s ID number and uses a computer to randomly select 20 of the IDs. Which sampling method was used?

cluster sampling
simple random sampling
stratified random sampling
systematic random sampling

Answers

Answer:

Simple random sampling.

Step-by-step explanation:

In this case, the statistics teacher selects a group of students from his class absolutely at random, without taking into account any specific factor when making said selection, rather than absolute chance.

In this way, in the case the teacher performs a simple random sampling with respect to his class, since the selected students do not respond to any specific characteristics that are required for the sample.

Answer:

The answer is A Cluster

Step-by-step explanation:

I just took the review on EDGE

a baseball player got 13 hits in 50 times at bat. what percent of her times at bat did she get a hit

Answers

Answer:

26%

Step-by-step explanation:

As of the moment I am writing this question, the population of the United States is 326,891,705 people. You are building an app that targets the US population and expect to get 1/10 of 1% of the population using your app in the first 4 months. The estimated data you need to store per user averages 10 GB. What is the minimum storage you must plan to have in place for app to serve the users in the first 4 months

Answers

Answer:

3.3 PB

Step-by-step explanation:

It is given tat the population of the U.S = 326,891,705 people.

Population expected to use the app in first 4 months = 1/10 of 1%

Storage capacity of an user is = 10 GB

Therefore,

[tex]$\frac{1}{10} \text{ of}\ 1$[/tex] % = 0.1%

               = 0.001

The user content = 0.001 x 326,891,705

                            = 326891.705 users

10 GB storage per user.

Therefore,

Size =   326891.705 x 10

       =  3268917.05 GB

       = 3.26 PB

Hence size of the minimum storage would be 3.3 PB.

What is cos 30°?
O A
B. 1
OC
-IS
OD
O
E.
O EV3

Answers

Answer:

cos (30 deg) = sqrt (3) /2

Step-by-step explanation:

I need help for math plz :(

Answers

Answer:

Option D

Step-by-step explanation:

Set of data in terms of ordered pairs represents a function when output value of each input value is different.

Option A

Since, for every value of x there is a different value of y, it's a function.

Option B

In each ordered pair, for every value of x there is a different value of y.

Therefore, it's a function.

Option C

From the given graph, for every value of x there is a different value of y.

Therefore, it's a function.

Option D

From the given set of ordered pairs we find for x = 1 there are two values of y (y = 4 and 3).

Therefore, the given set of ordered pairs doesn't represent a function.

Option D is the answer.

I need help again again​

Answers

Answer:

12.34

Step-by-step explanation:

Answer:

12.34

Step-by-step explanation:

since its out of 100, it would be 12.34

Whats the GCF of 42x and 56

Answers

Your answer is going to be 14

plz help me on this final i beg of u!!!

Answers

Answer:

[tex] \frac{1}{2} [/tex]

Step-by-step explanation:

Its asking for how long did she watch for both videos.

[tex] \frac{3}{8} + \frac{1}{8} = \frac{4}{8} [/tex]

4/8 is half. so simplest form would be

[tex] \frac{1}{2} [/tex]

Answer:

1/2 minutes

Step-by-step explanation:

you add the two fractions together and because they have a common denominator you just add across.

1/8+3/8=4/8

now we simplify

the numerator and denominator can both be divided by 4.

4÷4=1

8÷4=2

1/2

A .14kg baseball is dropped from rest. It has a momentum of .78kg x m/s just before it lands on the ground. For what amount of time was the ball in the air?

Answers

Answer

what r the options? a b c d?????

i wuld say it is 2.5

Step-by-step explanation:

Identify the GCF of 36 and 24
6
12
2
8

Answers

Answer:

12...you already figured it out but alr

Step-by-step explanation:

What is the solution of the equation 70 = 1.4y ?

Need this answer ASAP

Answers

Answer:

y=50

Step-by-step explanation:

[tex]70 = 1.4y \\ \div 1.4 \: \: \: \: \: \: \: \: \: \: \: \div 1.4 \\ \\ 50 = y[/tex]

just divide 1.4 on both sides

If you have 2 pieces of spaghetti that have lengths 4 cm and 10 cm, what could be the possible length of a third piece of spaghetti to complete the triangle? cm < x < cm

Answers

Answer:

  6  <   third side    <   14

Third side must be greater than 6 and less than 14

Step-by-step explanation:

A triangle can be formed from 2 sides of any length.

The third side must be longer than the difference of the other 2 sides and

the third side must be less than the sum of the other 2 sides.

(if this question is from k12 lesson check)

Which equation below matches the relationship shown in the table?

Answers

Answer:

y = 3x + 0.5

Step-by-step explanation:

Tyrone has 20 pieces of candy. The ratio of chocolate to hard candy is 1:3. How many pieces of hard candy does Tyrone have?

Answers

Answer:

15 pieces

Step-by-step explanation:

a ratio of 1:3 has 4 total parts, meaning that each part is 5.

20/3 = 15 so that means he has 5 pieces of chocolate and 15 of hard candy.

Answer:

15

Step-by-step explanation:

If x = 3 (y + 2) minus 1 what is the value of w in terms of x and y?

Answers

Answer:

B

Step-by-step explanation:

edge2020

Answer:

B.

Step-by-step explanation: EDGE 2020

what is the solution of sqaure root -4x = 100

Answers

Answer:

I’m pretty sure it’s -2500

Step-by-step explanation:

Answer:

I think it would be x = -2500

Step-by-step explanation:

You square both sides to get rid of the square root and get -4x = 10000 then divide 10000 by -4 to get -2500

The meaning of significance. Asked to explain the meaning of "statistically significant at the α=0.05 level," a student says: "This means that the probability that the null hypothesis is true is less than 0.05." Is this explanation correct? Why or why not?

Answers

Answer:

This explanation is not correct

Explanation:

Significance level is the probability that the null hypothesis rejected is in fact true. If we say there is a significance level of 0.10 or 10%(α=0.10 level) then there is a 10% chance of incorrectly rejecting the null hypothesis when there is actually no difference.

If we wish to reach a conclusion on rejection or acceptance of the null hypothesis, we could use the p value(the probability that observed results or more extremee results are true given null hypothesis)which we compare with the significance level to conclude. If the significance level is 0.10 and p value is 0.07(since p value is less than significance level) , we reject the null hypothesis and vice versa.

The significant level, α = 0.05 level specifies a probability of the correctness of the null hypothesis.

The student is correct in the statement "This means that the probability that the null hypothesis is true is less than 0.05"

Reasons:

The significant level specifies the the likelihood of rejecting a true null

hypothesis, such that a 5% significance level indicates that the risk of

drawing a conclusion that there is a difference in a sample, when the

samples are similar is 5%, and therefore, the probability that null

hypothesis is true is 5% or 0.05.

The level of significance is a specification that indicates the amount of

evidence required within a sample to allow the rejection of the null

hypothesis, and reach a conclusion that the observed effect is statistical

significant at the α = 0.05 level.

Therefore;

The statement by the student that "This means that the probability that the null hypothesis is true is less than 0.05" is correct.

Learn more about hypothesis testing here:

https://brainly.com/question/13122036

Three people take 90 minutes to water a garden. How many minutes would six people take?

Answers

Answer:

45

Step-by-step explanation:

it will take 45 minutes for 6 people to water a garden

Answer:GIVEN

Three people take 90 minutes to water a garden.

TO DETERMINE

The time (minutes) taken by six people to complete the work

EVALUATION

SOLVE USING RULES OF THREE

Now if the Number of people increases then the time take taken will decreases

Here the number of people and Time taken are in inverse proportion

So the time required

FINAL ANSWER

The required time = 45 minutes

Step-by-step explanation:

An Artist creates a scale model and of a Sculpture with a scale of 2 inches = 5 feet. If the scale model of the sculpture measures 8 inches tall, how many feet tall is the actual sculpture?

HELP PLEASE ​

Answers

Answer:

Step-by-step explanation:

It’s 20 Feet

Ben earns an annual income of $12,800 a year. The income tax he has to pay is 15%. What is the amount of income tax in dollars and cents that Ben has to pay? thanks!
A $1,664
B $10,880
C 12,000
D $1,920

Answers

D

Find 15% of 12,800,

[tex]\frac{15}{100}[/tex] ×[tex]\frac{12,800}{1}[/tex]

= 1,920

which equation below has a slope of 1/4?

Answers

Answer:

The answer is 1, 2, and 3 only

Step-by-step explanation:

Math

Way

The equations which have slope 1/4:

ii.  (y - 3.5) = 0.25(x - 2.75)

iii.  5x - 20y = 32

What is the equation of line?

The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope.

I. y = x - 5 is in slope-intercept form, so we can see that its slope is 1.

II. (y - 3.5) = 0.25(x - 2.75) can be rewritten in slope-intercept form as y = 0.25x + 2.1875. Therefore, its slope is 0.25 or 1/4.

III. 5x - 20y = 32 can be rewritten in slope-intercept form as y = (1/4)x - (4/5). Therefore, its slope is 1/4.

IV. 5x + 20y = 32 can be rewritten in slope-intercept form as y = (-1/4)x + (4/5). Therefore, its slope is -1/4.

So, only equations II, and III have a slope of 1/4.

To know more about Line check:

https://brainly.com/question/17188072

#SPJ3

Write and solve this expression:
Subtract 4 from 19, then divide by 3

Answers

Answer:

5

Step-by-step explanation:

the answer you will get is 5
subtract 4 from 19 would be 15
then divide 15 by 3 and you would get 5

Which pair shows equivalent expressions?

Help quick please!

Answers

Answer:

i think A

Step-by-step explanation:

Please help UwU
also hope your day is going GREAT
if correct i will give BRAINIEST

Answers

Answer:

b bro and u get a good day too

Answer:

Pretty sure its C  >:]

Explanation:

    It's the third option because if you put a piece of paper in the corner its a lil more than 90 degrees, so it wouldn't be B (there's a little more white space left). And it obviously wouldn't be A because that's self explanatory, lol.

    And you can't make a perfect square in the inside of the angle so that's another way to tell.

Extra:

I hope you have an amazing day too,, you seem very nice ^-^   good luck on your schoolwork today :]

If I say I’m sick on Tuesday at 8pm and they say I have 72 hours till I can work again and I work at 12 am what time and what day will I work on?

Answers

Answer:

Saturday

Step-by-step explanation:

I think

Evaluate your expression for 20 miles walked.

Answers

Answer:

i am not sure but i thinks 2-1 is 1

Step-by-step explanation:

im pretty sure the answer is 1
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