Calculate the average rate of change of the function f(x) = mx + b over the interval 2 ≤ x ≤ 13.
A) 1
B)
11
C) m
D) b

Answers

Answer 1

Answer:

m

Step-by-step explanation:

The slope of a line is constant. This means no matter the two points on the line that you use to calculate the slope you will get the same number for the slope. Your equation is in slope-intercept form, y=mx+b where m is slope and b is y-intercept. So your equation is in that exact form with the same use of constant numbers m and b where m is slope and b is y-intercept.

So the answer is m.

However, we could use slope formula = change in y divided by change in x.

Change in y from x=2 to x=13 is [(m(13)+b)-m(2)+b)]=13m+b-2m-b=13m-2m+b-b=11m+0=11m.

Change in x is 13-2=11.

So the slope is 11m/11=m.


Related Questions

Write a system of linear inequalities represented by the graph?
Inequality 1:
Inequality 2:

Answers

Answer:

y > x - 2

y >= 5x + 1

Step-by-step explanation:

Linear inequalities represented by the graph are y>5x+1 and  y>x-2

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The first line passes through the points

(0, 1) and (-1, -4)

The slope of line is m=-4-1/-1=5

Let us find the y intercept

1=5(0)+b

b=1

So the equation of line is y=5x+1

As the shading is outside so y>5x+1

Now let us find for 2nd line

(2, 0) and (-2, -4)

m=-4/-4=1

Now y intercept is 0=2+b

b=-2

So equation is y=x-2

As shading is outside so  y>x-2

Hence,  linear inequalities represented by the graph are y>5x+1 and  y>x-2

To learn more on Inequalities click:

https://brainly.com/question/28823603

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What is the product of (3^5) (2^5) (3^4)

Answers

11,337,408

(3^5) = 729 (2^5) = 64 (3^4) = 243

729 x 64 x 243 = 11,337,408

Please help with this math

Answers

Answer:

676

Step-by-step explanation:

You need to find out abcde and then find out what bd is after that you must divide them both by 3

Hope that helped

There is a line that includes the point (5, -7) and has a slope of -1. What is its equation in slope-intercept form?

Answers

y + 7 = -1(x - 5)

y + 7 = -x + 5

y = -x - 2

for what value of x and y the ordered pairs (x+3,y-2) (y-1,2x-3)​

Answers

u spammed in my question :(

secure.learningblade.com/MyMissions/Index/18?IsGuide Viewed=False&IsAssigned=Not%20As
Calculating Dose
An 8 year old child is running a temperature of 103 degrees F
and his parent would like to give acetaminophen but doesn't
know how much. He has a bottle of suspension (liquid) at
home and says that the bottle reads "80mg/ half-teaspoonful"
and the child weighs about 25kg. He has an oral syringe that is
marked off at 0.2 milliliter intervals and goes up to 10ml. The
standard dose for acetaminophen elixir is 10mg/kg.

Answers

Answer:

5*jjjjjjjjkkkkkkkkkk

please help me out yall!!​

Answers

Answer:

c

Step-by-step explanation:

In 161616 years, Ben will be 333 times as old as he is right now.
How old is he right now?

Answers

Answer:

8

Step-by-step explanation:

I'm going to guess there's a typo in the question and it should be

In 16 years, Ben will be 3 times as old as he is right now.

x + 16 = 3x

subtract x from both sides

16 = 2x

Divide both sides by 2

8 = x

x = 8

Quadrilateral LKMN is similar to quadrilateral OPQR. Find the measure of side OP. Round your answer to the nearest tenth if necessary.

Answers

Answer:

The answer is 12.6

Step-by-step explanation:

See the solution in the picture.

In a standard card deck, there are 52 different cards, which are divided into 4 suits (spades, diamonds, clubs, and hearts), with each suit containing 13 cards. What is the probability that in a randomly selected rearrangement of the card deck, the 3 of spades is after all the hearts

Answers

In a given permutation of 52 cards, if the 3 of spades is to follow all of the hearts, that means the 3 of spades must be at least the 14th card in the deck.

Consider some possible orderings of the deck:

• If the 3 of spades is the 14th card, then the deck looks like

[all 13 ♥] … 3 ♠ … [all other 38 cards]

There are 13! ways to arrange the 13 hearts at the beginning and 38! ways to arrange the tail of 38 cards. Hence there are 13! × 38! possible rearrangements of the deck where 3 ♠ is the 14th card.

• If 3 ♠ is the 15th card, then the deck looks like

[13 ♥ and 1 other] … 3 ♠ … [all other 37 cards]

and there would be 14! × 37! ways of arranging the cards in this order.

There are 39 possible positions for 3 ♠. Extrapolating, it follows that the total number of permutations of the deck in which all hearts occur before 3 ♠ is

[tex]\displaystyle \sum_{k=0}^{38} (13+k)! \times (38-k)![/tex]

There are 52! total possible ways of rearranging the deck. Then the probability of rearranging the deck so that all hearts are drawn before 3 ♠ is

[tex]\displaystyle \frac1{52!} \sum_{k=0}^{38} (13+k)! \times (38-k)! = \frac{87,031,512,096,420,449}{221,360,321,731,856,907,600} \approx \boxed{0.000393}[/tex]

I NEED HELP WITH MATH QUESTION PLEASE HELP ME NO LINKS !!!

Answers

Answer:

21.8

Step-by-step explanation:

1.9 + 9 = 10.9

10.9 x 2 = 21.8

Answer:

21.8

Step-by-step explanation:

2×1.9=3.8

2×9=18

total=21.8

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Answer:

Its 65

1ft=304.8mm

P: It's sunny.
Q: It's snowing.
R: It's not raining.
Translate the following symbols: P -> Q
O It's not sunny and it's snowing.
O It's sunny if and only if it's snowing.
O If it's not sunny, then it's not snowing.
O If it's sunny, then it's snowing.

Answers

Answer:

I think the answer is c

Step-by-step explanation:

please give me brainlist

4, 3.7, 3.4, 3.1, ____, ____, ____ what are the next terms

Answers

Answer:

the next terms are 2.8 , 2.5 and 2.2

Given the function f(x)=-x^2+6x+17 determine the average rate of change of the function over the interval −3≤x≤7.

Answers

Answer:

2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 3, 7 ] , then

f(b) = f(7 ) = - 7² + 6(7) + 17 = - 49 + 42 + 17 = 10

f(a) = f(- 3) = - (- 3)² + 6(- 3) + 17 = - 9 - 18 + 17 = - 10

average rate of change = [tex]\frac{10-(-10)}{7-(-3)}[/tex] = [tex]\frac{10+10}{7+3}[/tex] = [tex]\frac{20}{10}[/tex] = 2

What is the Y-Int, Slope, and Slope-Intercept form? Need help!

Answers

The y int is -3 and the 3/2

. A triangle has an angle that measures 85°. The other two angles are in a ratio of 6:13. What are the measures of those two angles?


AND EXPLAIN THE STEPS

Answers

Answer:

Smaller angle : 30 degrees

Bigger Angle : 65 degrees

Step-by-step explanation:

85+6x+13x=180, 85+19x=180,19x=95,x=5

Smaller angle : 30

Bigger Angle : 65

Questlon 21 of 25
What are the vertex and x-intercepts of the graph of the function given below?
- 2x - 24

Answers

[tex] - 2 \times - 24 = - 2( \times + 12[/tex])

21. Paul has $900 to invest in a savings account that has an annual interest rate of 1.8%, and a money market account that pays 4.2% per year. Write a polynomial for the interest he will earn in one year if he invests x dollars in the savings account.

Answers

The polynomial that gives the interest earned after a year will have variables, exponents and constants that are joined by operators.

The interest earned after one year is 0.018·x

Reasons:

The amount Paul has to invest = $900

The annual interest rate from the savings account = 1.8%

The amount the money market account pays per year = 4.2 %

Required: The polynomial for the interest Paul earned by investing x dollars in the savings account.

Solution:

The interest earned is found using the compound interest formula as follows;

[tex]\displaystyle A = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t}}[/tex]

Where;

A = The amount in the account after one year

P = The original amount invested = x

r = The interest rate offered on the investment = 1.8% = 0.018

t = The time of the investment = 1 year

n = The number of times of application of the interest per period = Once per year

Which gives;

Interest = Amount earned = A - P

Therefore;

[tex]\displaystyle Interest, \ I = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t} - P}[/tex]

Plugging in the values gives;

[tex]\displaystyle I = x \cdot \left(1 + \frac{0.018}{1} \right)^{1 \times 1} - x = x \cdot 1.018^1 - x = 1.018 \cdot x - x = 0.018 \cdot x[/tex]

The polynomial equation is therefore;

Interest, I = 0.018·x

Using the simple interest formula, we have;

[tex]\displaystyle Interest = \mathbf{\frac{P \times r \times t}{100}}[/tex]

Which gives;

[tex]\displaystyle Interest = \frac{x \times 1.8 \times 1}{100} = 0.018 \cdot x[/tex]

Interest earned by investing in the savings account for one year, I = 0.018·x

The polynomial representing the interest earned is I = 0.018·x

Learn more here:

https://brainly.com/question/11314161

HELP ME I NEED HELP AND I DONT KNOW THE ANSWER

Answers

Check B

(-3,0) and (0,-3)

Find slope

m=-3-0/0+3m=-3/3m=-1

It has y intercept (0,-3)

Check A

(3,0) and (0,3)

m=3-0/0-3m=3/-3m=-1

Option A is correct

Answer:

A

Step-by-step explanation:

Positive slope:  as the x-value increases, the y-value increases.

Negative slope:  as the x-value increases, the y-value decreases.

The slope of the graph is -1

As it has a negative sign, the graph has a negative slope.  

As the slope is -1, this means that for every 1 unit increase of the x-value, the y-value decreases by 1 unit.

The line passes through (0, 3)

When the x-value is zero, the line intercepts the y-axis.  

Therefore, the line will intercept the y-axis when y = 3.

Therefore, the graph of the line that passes through (0, 3) and has a slope of -1 is option A.

[tex]\begin{array}{|l|c|c|c|c|}\cline{1-5} & \sf Graph\:A & \sf Graph\:B & \sf Graph\:C & \sf Graph\:D \\\cline{1-5} \sf slope & \sf negative & \sf negative & \sf positive & \sf positive\\\cline{2-5} \sf & -1 & -1 & 1 & 1\\\cline{1-5} \sf y-intercept & (0,3) & (0,-3) & (0,-3) & (0,3)\\\cline{1-5}\end{array}[/tex]

PLEASE HELP I REALLY NEED HELP!

Answers

Answer:

It should be C. AAS

Step-by-step explanation:

There are symbols on the triangle indicating a shared right triangle, congruent angles, and a shared congruent side.

Hope this helps :)

Answer:

Yes, AAS

Step-by-step explanation:

Which part of this problem should be simplified first?

(100 – 37 + 15) × 2 ÷ 3

Answers

Answer:

the parentheses should be the first.

Step-by-step explanation:

follow the steps using PEMDAS.

P- parentheses

E- exponent

M- multiply

D- divide

A- addition

S- subtraction

Answer:

The answer is 100 - 37. Do not put parenthesis when answering your question.

Step-by-step explanation:

Help me with math!!!!

Answers

Answer:

Step-by-step explanation:

Option c is best.

x is less than equal to 2 that's why the graph of line moves toward the left side.

Ive been asking but people just send me adult links can someone help?

Answers

Answer:

x=15

Step-by-step explanation:

The triangles are the same so they have the same sides

x+9=2x-6

9=x-6

15=x

On the way to her babysitting job, Mary rode her bike for the first mile. She stopped at a traffic light and waited a few minutes for the traffic light to turn green. She then walked her bike across the street and up a short steep hill. Finally, she rode the bike at a constant speed for one more mile. If Mary created a graph of her time and distance, which statement describes the part of her graph that would show no change in distance?
A.Mary used her bike to ride the first mile.
B.Mary stopped and waited for the traffic light to turn green.
C.ary walked her bike across the avenue and up a short hill.
D.Mary rode her bike at a constant speed for one mile.

Answers

Answer:mile.

B.Mary stopped and waited for the traffic light to turn green.

Step-by-step explanation:

edge 2020 its simp3l

Angela has 3 gallons of milk.how many quarts of milk dose she have

Answers

Answer:

12

Step-by-step explanation:

4 quest make 1 gallon so 4*3=12

Students were surveyed about what summer camp they would be attending.

Of the students that stated they would be going to Camp Redwood, 20% did not go to camp. Of the students that stated they would be going to Camp Kern, 15% did not go to camp. How many more students went to Camp Kern than Camp Redwood?

Answers

Answer:

5% with the information I'm provided with. I need more info

if that's wrong

Step-by-step explanation:

I need help thanks a lot

Answers

The answers are below:
1. 7
2. 6.32
3. 6

Hope this helps!

Answer:

Below!

Step-by-step explanation:

First, let's simplify the roots for each.

√49 = √7 x 7 = 7√40 = √4 x 10 = 2√10 = 6.32√36 = √6 x 6 = 6

Please check out the file so you can see the graphed points on the line. I apologize for the bad mouse-writing.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

[tex]\boxed{\sf 3x-12=3}[/tex]

Answers

Answer:

x = 5

Step-by-step explanation:

Question:To find the value of x

Given Equation:3x - 12 = 3

Solution:

=> 3x - 12 = 3

[On putting the like terms on one side of the equation]

=> 3x = 3 + 12

[On adding like terms]

=> 3x = 15

[Dividing both sides with 3]

[tex] = > \frac{3x}{3} = \frac{15}{3} [/tex]

[On Simplification]

=> x = 5 (Ans)

[tex]\sf 3x - 12 = 3[/tex]

[tex]\sf \longmapsto3x = 3 + 12[/tex]

[tex]\sf \longmapsto3x = 15[/tex]

[tex]\sf \longmapsto \: x = \frac{15}{3} [/tex]

[tex]\sf \longmapsto{x} = 5[/tex]

[tex] \boxed{ \sf \: 5}[/tex]

When finding the margin of error for the mean of a normally distributed population from a sample, what is the critical probability, assuming a confidence level of 86%? 0. 14 0. 86 0. 93 0. 99.

Answers

The critical probability assuming a confidence level of 86% is;

Option B; 0.86

We are given the confidence level as 86%. This means that the probability of the mean of the normally distributed population being true is 86%.

This means that the critical probability is the value of z at 86% or 0.86

So when we find the value of z at that value, we will use it to get the margin of error.

Read more about critical probability of Confidence level at; https://brainly.com/question/16112320

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