In order for the data in the table to represent a linear function with a rate of change of –8, what must be the value of a?

Answers

Answer 1

Given:

Consider the below figure attached with this question.

The rate of change of the linear function is -8.

To find:

The value of a.

Solution:

If a linear function passes through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the rate of change of the linear function is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given table, it is clear that the linear function passes through the points (10,27) and (11,a). So, the slope of the linear function is:

[tex]m=\dfrac{a-27}{11-10}[/tex]

[tex]m=\dfrac{a-27}{1}[/tex]

[tex]m=a-27[/tex]

The rate of change of the linear function is -8.

[tex]-8=a-27[/tex]

[tex]-8+27=a[/tex]

[tex]19=a[/tex]

Therefore, the value of a is 19.

In Order For The Data In The Table To Represent A Linear Function With A Rate Of Change Of 8, What Must
Answer 2

Answer:

it is C

Step-by-step explanation:


Related Questions

the sum of the 13th square number and the 4th cube number?

Answers

Answer:

13th square number+4th cube number=233

Step-by-step explanation:

[tex]13^{2} +4^{3}[/tex]=233

The value of the sum of the 13th square number and the 4th cube number will be 223.

What is the value of the expression?

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

The sum of the 13th square number and the 4th cube number. Then the numerical expression is given as,

⇒ (13)² + (4)²

Simplify the numerical expression, then we have

⇒ (13)² + (4)³

⇒ 169 + 64

⇒ 223

The value of the sum of the 13th square number and the 4th cube number will be 223.

More about the value of the expression link is given below.

https://brainly.com/question/23671908

#SPJ2

The diameter of a circle is 9 m. Find the circumference \textit{to the nearest tenth}to the nearest tenth.

Answers

Answer:

[tex]C=28.3m[/tex]

Step-by-step explanation:

From the question we are told that:

Diameter [tex]d=9m[/tex]

Radius[tex]r=4.5m[/tex]

Generally the equation for Circumference of a circle is mathematically given by

[tex]C=2\pi r\\\\\C=2*\pi*4.5m[/tex]

[tex]C=28.3m[/tex]

Answer:

Step-by-step explanation:

From the question we are told that:

Diameter

Radius

Generally the equation for Circumference of a circle is mathematically given by

Have a good day

Step-by-step explanation:

A college had a tuition of $35,000, then increased it by 10%, then decreased it by 5%. What is the new tuition of the college after this increase and decrease?

Answers

Can you help me with the last question write the equation 3x^2 - 27 = -6x in vertex form

Answer:

$36,575 is the new tuition

express your answer as a polynomial in a standard form.

Answers

Here you go! Hope this helps!

Quick, What is the value of x?

A. 2
B. 3
C. 6
D. 7

Answers

Answer:

Im pretty sure the answer is b using the formula

How much carpet would be needed to cover the area in the figure?

Answers

Answer:

28 square yards

Step-by-step explanation:

28 square feet to cover the interior of the house

3^8 times 3^2, using properties of exponents

Answers

Answer:

[tex]3^{10}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex]3^{8}[/tex] × 3² = [tex]3^{(8+2)}[/tex] = [tex]3^{10}[/tex]

The volume of a cylinder is 1280pi cm cubed. The radius is 8cm. Find the missing length.

Answers

Look take a picture of your problem and Brainly will get the answer for u just like that within 3 seconds

Vhich type of sequence is shown? Check all that apply.
4, 8, 12, 16, ...
The numbers are quickly getting larger, so this is a geometric sequence.
The numbers are slowly getting larger, so this is an arithmetic sequence.
This is an arithmetic sequence because there is a common difference of 4 between each term.
This is a geometric sequence because there is a common ratio of 2 between each term.
Add 4 to the last term to extend this arithmetic sequence.
Multiply the last term by 2 to extend this geometric sequence.

Answers

Answer:

This is an arithmetic sequence because there is a common difference of 4 between each term.

Add 4 to the last term to extend this arithmetic sequence

Step-by-step explanation:

Which calculation shows the best method for estimating the result of 384 divided by three-sixteenths?

Answers

Answer:

the answer to this is 2048

Step-by-step explanation:

Answer:  B

Step-by-step explanation: Just round

find the T.A for the prism​

Answers

Answer:

I dont know

Step-by-step explanation:

I have no clue I know nothing about math

х
3
3(x+4) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property?
O 3x+12
O (3 + x) +4
O (x + 4) - 3
O 3x + 4

Answers

Answer:

O 3x+12

Step-by-step explanation:

3(x + 4) = (3 · x) + (3 · 4)

= 3x + 12

Answer O 3x+12
Hope this helps

hey guys ... just want to make this answer sure... subtract 2x²+3x+6 from 3x²+5x+7=? A)x²+2x+1 or
B)x²+8x+13​

Answers

Answer:

answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3x² + 5x + 7 - (2x² + 3x + 6) ← distribute terms in parenthesis by - 1

= 3x² + 5x + 7 - 2x² - 3x - 6 ← collect like terms

= x² + 2x + 1 → A

Marissa went to the store with $20 and returned home with $5.36. If she bought only 3 gallons of ice cream, what was the cost of each gallon of ice cream?

Answers

Answer: $4.88

Explanation: $20.00-$5.36= $14.64

$14.64÷3= $4.88

A rectangle has a perimeter of `52` cm. Its width is `9` cm.

what is the length of the rectangle

Answers

Answer:

The length is 17 cm.

17+17+9+9 adds up to 52.

Elimination method
a-b=3
2a+3b=b

Answers

Answer:

a=3/2   b=-1 1/2

Step-by-step explanation:

525/4 ÷ 35/4 need the answer quick​

Answers

Answer:

15

Step-by-step explanation:

525/4 ÷ 35/4

=525/4 x 4/35

=525/35

=105/7

=15/1

=15

I need help please please!!!

Answers

Answer:

y = 91

Step-by-step explanation:

y = 5² + 10(5) + 16

y = 25 + 50 + 16

y = 91

add the following decimals​

Answers

Answer:

148.91

Step-by-step explanation:

hope it helps<333

find the value of x.

Answers

Answer:

x = 83 degree

Step-by-step explanation:

x + 43 = 126 (sum of two interior opposite angle is equal to the exterior angle formed)

x = 126 - 43

x = 83 degree

Answer:

83 degrees

Step-by-step explanation:

To find this you first find the angle opposite to 126. To do this you subtract 126 from 180 as 180 degrees is a straight line, and we are looking for that missing angle.

This equals 54 degrees.

Now, 54 + 43 equals 97.

Because all interior angles of a triangle always equal 180, you can find that last angle by subtracting 97 from 180. This leaves you with 83 degrees.

what is the smallest number that can be subtracted from 376234 to make it divisible by 11​

Answers

Answer:

Odd:: 8+7+9=24

Even:: 2+8=10

So difference of odd and even is 24-10=14

Reducing 3 from this will make the difference (14–3) divisible by 11.

So the number to be subtracted is 3

And the number is 82786.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

If you subtract the number by 1 i.e. 376233 it will be exactly divisible by 11.

Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil, how many flowerpots can he fill?

Answers

Answer:

16 pots

Step-by-step explanation:

We first need to find out the amount of dirt that can be filled into a single flowerpot.

We use the formula to find the cylinder's volume.

π[tex]r^{2}[/tex][tex]* h[/tex]

Height is equal to ten, Radius is equal to 7.

49π [tex]* 10[/tex]

≈ 1539.38

25,000 divided by 1539.38

≈ 16.24

He can fill 16 pots fully.

A regular decagon has a radius of 8 cm.

What is the approximate area of the decagon? Recall that a decagon is a polygon with 10 sides.

188 cm2
198 cm2
304 cm2
375 cm2

Answers

Answer:

188cm^2

Step-by-step explanation:

A regular decagon has ten sides. Therefore, a decagon with radius of 8 cm has an approximate area of 188 cm²

What is a decagon?

A decagon is a polygon with 10 sides.

Therefore, the approximate area of a decagon can be found as follows:

area of decagon =  r²sin(360/n) / 2 × 10

where

r = radius

n = number of sides

Therefore,

r = 8 cm

area of decagon = 8² sin (360/ 10) / 2 (10)

area of decagon = 64 sin 36 / 2 × 10

area of decagon = 64 × 0.58778525229 / 2 × 10

area of decagon = 37.6182561467 / 2 × 10

area of decagon = 18.8091280734 × 10

area of decagon = 188 cm²

learn more on decagon here: https://brainly.com/question/27314677

Liz earns a salary of $2,300 per month, plus a commission of 3% of her sales. She wants to earn at least $2,500 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal.

Answers

Answer:

she needs 200 more$

Step-by-step explanation:

Question 1 Multiple Choice Worth 1 points)
(01.05 LC)
Solve for x: -7 < X -1 <8

Answers

Answer:

-6 < x <9

Step-by-step explanation:

-7 < X -1 <8

Add 1 to all sides

-7+1 < X -1+1 <8+1

-6 < x <9

Answer:

D

Step-by-step explanation:

Change each of these test scores to:
i.) fractions in their lowest terms.
ii.) percentages.
Show your working.
a.) 21 out of 50.
b.) 105 out of 150.
c.) 45 out of 75.
d.) 118 out of 200.

Answers

Answer:

a) 21/50   -> 42%

b) 7/10  ->70%

c) 3/5 -> 60%

d) 59/100 -> 59%

Step-by-step explanation:

I hate math, but math "love" me, keep on sticking to me.

Answers

I love math but math hates me

what is the equation of the red graph? g(x)=? A. g(x)=-x^2 B. g(x)=x^2 C. g(x)=(4-x)^2 D. g(x)=(8-x)^2

Answers

the answer of course is bobbies

Answer

the answer if b in the above

What portion of shared $7500 security costs should be apportioned to store A?

Answers

Answer:

3,750

Step-by-step explanation:

2500+1250+625+625=5000

2500/5000=.50 or 50%

7500X.50=3750

Help me with this one plz

Answers

Answer:

-1 is the only number there that is an integer as all the rest of them are mixed fractions.

Answer:

- 1

Step-by-step explanation:

Other Questions
Anti-dilutive securities:_________.Select one:a. should be included in the computation of diluted earnings per share but not basic earnings per share.b. are those whose inclusion in earnings per share computations would cause basic earnings per share to exceed diluted earnings per share.c. include stock options and warrants whose exercise price is less than the average market price of common stock.d. should always be ignored in the computation of diluted EPS. plz answer I don't have a long time How to solve this math question What is the measure of each exterior angle of the right triangle?x = y = z = The government of Velovia made progress in its efforts to bring rapid inflation under control. Although prices are still rising, the rate of increase has slowed considerably. This suggests that Velovia is experiencing disinflation.a. Trueb. False The line that passes through the points (5, 3)and (8. A) is perpendicular to the line6x + 7y + 13 = 0. Determine the value of A. What's The opposite meaning for devote? Complete the sentences by supplying appropriate transitional words. Choose the letter of the best answer.1. Bowling is a sport in which the player with the highest score wins. ______, the goal in golf is to get the lowest score.A.CertainlyB.ConverselyC.neverthelessD.in other words2. You'll be able to____ eat dinner and review your work.A.LaterB.SimultaneouslyC.becauseD.since3.__________, Ellen loves chocolate fudge brownie sundaes.A.MoreoverB.In additionC.SpecificallyD.Furthermore4._______, they could be called the greatest team of all time.A. that isB. in other words C. with this in mindD. to put it in another wayi need correct answer What was Thomas Edison's role in the development of the light bulb? He invented the light bulb. He improved electricity. He invented the arc lamp. He improved the light bulb. Hydra is called a diploblastic animal .Why? Pattys gymnastics class is 56 of an hour long. Patty practices five different skills and spends the same amount of time on each skill. How can you find how much time she spent on each skill?Explain how to use an area model to solve the problem. 6 cars 4 people in each car HELP I HAVE 3 minutes 1.5 m7.1 m7.1 mV= What do you think the dorm mother really meant for Melinda to do? Answer in complete sentences. A farm machinery salesperson has spent the last three weeks gathering information about a prospective customer. He has researched the customer's existing machinery and buying potential. However, he delays the actual meeting with the customer because he feels that he requires a couple of weeks more to gather enough information to make the sales call. In this scenario, the salesperson is experiencing a(n): A 500 Kg block is attached with a rope of length 5m, having area 0.4 10-4 m2. If final length is 6m, Calculate the Stress, Strain and Young's Modulus? Scenario: Cindy is 18 years old. Cindy's parents and her 23-year old brother Rich are going away for the weekend. Renee, Cindy's best friend, is pressuring her to throw a huge Saturday night party for all their friends since no one will be home. Renee even asked Rich if he could pick up a few kegs for them. Rich brought back two kegs of beer, a bottle of Vodka, and a few bottles of wine, which he hid in the basement. Renee also spread the word around school for everyone to show up. Cindy now has over $100 worth of alcohol hid in the basement, an empty house for the weekend, and fifteen friends expected to show. Use the six steps of the decision-making process to decide what Cindy should do. Question 1 Define the goal: Question 2 Establish your criteria: Question 3 Choose good options: Question 4Identify the pros & cons: Question 5 Decide the most logical option: Question 6 Evaluate the anticipated results: WILL GIVE BRAINLIEST IF CORRECT Will someone help me with my history homework, please?1. What influenced the formation of many different African civilizations? How did geography influence the development of African civilization?2. Name the three kingdoms of the Niger River Valley. Describe the rulers, the economy, and the societies of each kingdom.3. Which Mesoamerican civilization lasted the longest? Which civilization had the most highly developed form of government? How were the religions of the four civilizations similar?4. Identify and describe two contributions to civilization made by each of the primary South, Meso, and North American civilizations.5. Name the 10 Native American cultural groups found in North America. Why did each Native American cultural group develop a distinct culture? Choose any two of these groups and provide a brief description of their cultures. Be certain to include an example or explanation telling how and why the cultures developed as they did. Car price $118,191Percent for car loan: 2.49%36 months Find monthly payment show work