Donald's Earnings, x (dollars) Fallons Earnings, y 38 45 43 50 48 55 53 60 58 65 Which equation best represents Fallon's earnings in terms of Donald's earnings? A. y=x+7 B. X=7y C. y=7x D. x=y+7

Answers

Answer 1

Given:

The table of values for Fallon's earnings in terms of Donald's earnings.

To find:

The equation that best represents Fallon's earnings in terms of Donald's earnings.

Solution:

In the given table the x-values are increasing by 5 units and  y values increasing by 5 units. It means the rate of change of y with respect to x is constant and the table represents a linear function.

If the graph of a linear function passes through two points, then the equation of linear function is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Consider any two points from the table. Let the two points are (38,45) and (43, 50). Then, the equation is

[tex]y-45=\dfrac{50-45}{43-38}(x-38)[/tex]

[tex]y-45=\dfrac{5}{5}(x-38)[/tex]

[tex]y-45=1(x-38)[/tex]

[tex]y-45=x-38[/tex]

Adding 45 on both sides, we get

[tex]y=x-38+45[/tex]

[tex]y=x+7[/tex]

Therefore, the correct option is A.


Related Questions

is it 6, 9, 18, or 8?

Answers

Answer:

8

Step-by-step explanation:

I know because I got distracted question before

In AMNO, m = 150 inches, n = 550 inches and o=630 inches. Find the measure of ZO
to the nearest 10th of a degree.

Answers

The measure of ∠O is, 115.8°.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

In ΔMNO, m = 150 inches, n = 550 inches and o=630 inches.

Now, We know that;

⇒ cos O = m² + n² - o² / 2mn

Substitute all the values, we get;

⇒ cos O = 150² + 550² - 630² / (2 × 150 × 550)

⇒ cos O = - 0.4357

⇒ ∠ O = 115.8°

Thus, The measure of ∠O = 115.8°

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

A local little league has a total of 65 ​players, of whom 40​% are left​-handed. How many left​-handed players are​ there?

Answers

Answer:

26 are left-handed

Step-by-step explanation:

(a) Reflect the point (6, 8) across the y-axls:

(b) Reflect the point (6, 8) across the X-axis:

Answers

Answer:

A: 6,8 = negative 6,8

B: 6,8 = 6,negative 8

Step-by-step explanation:

hope i helped you (could i have brainiest if possible)

Convert 27 days to weeks and days.
27 days = ___ weeks and ___ days

Answers

Answer:

27 days divided by 7 days

3 6/7

soo 3 weeks and 6 days

Step-by-step explanation:

Exponential form 1.5 x 1.5 x 1.5 x 1.5

Answers

1.5x 10^4= hope this helps

May someone help me with this :) it’s easy

Answers

Answer:

b) 35/100

c) 0.35

Step-by-step explanation:

2)

[][][][][][][]

Answer:

3. [tex]\frac{20}{100}[/tex] and [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Someone already answered b, c, and 2 so here's the third answer :)

10:50 is a ratio, which can be rewritten as [tex]\frac{10}{50}[/tex]

To write an equivalent fraction, we can either multiply or divide.

Multiplying both the numerator and denominator by 2 gets us [tex]\frac{20}{100}[/tex].

Dividing both the numerator and denominator by 10 gets us [tex]\frac{1}{5}[/tex].

Hope this helps!

Please help me with this
Brainiest answer to who ever is correct

Answers

Answer:

y=-2x-3

Step-by-step explanation:

Answer:

so slope or gradient is -2

Step-by-step explanation:

y=-2x-3

Find the square. Simplify your answer.

Answers

Answer:

j^2+2j+1

Step-by-step explanation:

(j+1)(j+1)=

=>j^2+j+j+1

=>j^2+2j+1

Hope this helps! ;)

could u help me with this one i’m struggling

Answers

Answer:

E, B, A, D, C

Step-by-step explanation:

You know u can just put like in random order then the ones that are correct you can leave and the ones that are wrong swap it around. Until u get full a answers green Yw (long term info) ;)

Find the greatest common factor (GCF) of 36x and 12x

Answers

Answer:

12

Step-by-step explanation:

12 is the (GCF) of 36x and 12x because 12 is the biggest # that can go into both 36 and 12.

Piz help me fast asap thx​

Answers

Answer:

y = 476^x

Step-by-step explanation:

y = 250(1.904)^×

y = 476^x

Hope this helps, thank you !!

Answer:

Loading. . .

Step-by-step explanation:

Show work for brainly

Answers

Answer:

There are 6 cakes.

Each person can eat 1/2 of a cake.

You need to find how many times you can split 6 cakes into 1/2 of a cake.

Obviously, division is the way to go.

6 ÷ 1/2

When dividing by a fraction, you need to turn both parts into fractions.

6/1 ÷ 1/2

Now you skip the first part.

Focus on 1/2

Flip the fraction: 2/1

Now multiply the two fractions together

6/1 *2/1 = 12/1

Therefore 12 people can be at the party.

PLEASE BRAINLIEST

I love the killua profile pic

Answer: 12 people

Step-by-step explanation:

6 total cakes ; everyone eats [tex]\frac{1}{2}[/tex]

6 people would eat 3 cakes because [tex]\frac{1}{2}[/tex] × 6 people = 3 cakes.

However, 12 people would eat 6 cakes because [tex]\frac{1}{2}[/tex] × 12 people = 6 cakes.

Two supplementary angles that are 4x and 5x what is the value of x

Answers

Answer:

x = 20

Step-by-step explanation:

4x + 5x = 9x

9x = 180 (supplementary angles add up to 180 degrees)

Divide 180/9 = 20

Answer:

x = 20.

Step-by-step explanation:

Supplementary angles sum to 180, so:

4x + 5x = 180

9x =  180

x = 20.

im confused can someone help me

Answers

Answer:

y intercept is -8

slope is 3x

Step-by-step explanation:

the definitions of them speak for themselves

HELP PLEASE!! is math 20 points

Answers

Answer:

0x = 0y

0

0x = 2y

x = 2y/0 = 0

2x = 2y

x = 2y/2 = y

4x = 3y

x = 3y/4

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

Solve x^2 + 4x + 6 = 0
Hurry please

Answers

Answer:

No Solutions

Step-by-step explanation:

twice a number when described by 7 gives 45 . find the number​. and also who wants to talk im bored

Answers

Answer:

Answer

Let the number be x.

twice =2x

When it is decreased by 7 we get the following equation:

2x−7=45

⇒2x=45+7

⇒2x=52

⇒x=252

∴x=26

The number is 26.

Answer:

g

Step-by-step explanation:

Caroline works in a coffee shop. She noticed that 10 out of the last 12 customers ordered tea.

What is the experimental probability that the next customer will order tea?

Answers

Answer:

There is an 83.33% chance that the next customer will order tea.

Step-by-step explanation:

10:12 = 10 ÷ 12 = 0.83333333333333 = 83.333333333333%

please answer problem 24 THANK YOU

Answers

Answer:

PART A. look belowPART B. slope=-15, y-intercept=375

Step-by-step explanation:

PART A. Graph the linear equation

- Look at the Graph below as an attachment

PART B. Interpret the slope and the y-intercept

- The slope-intercept form in the linear equation is: y=mx+b

m=slopeb=y-intercept

Solve

y=mx+b

y=-15x+375

slope=-15

y-intercept=375

Hope this helps!! :)

Please let me know if you have any questions

Given two concentric circles (circles that have the same center point), with the inner circle having a radius of 1 r and the outer one having a radius of 2 r as shown, give a dilation that would map the inner circle onto the outer circle.

Answers

Answer:

(x, y) ⇒ (2x, 2y)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Dilation is the increase or decrease in size of a figure. If a figure with point A(x, y) is dilated by a scale factor of k, the new location is at A'(kx, ky). If k > 1, it is an enlargement and if k < 1, it is a reduction.

Given that the inner circle has a radius of 1 r and the outer one has a radius of 2 r. To map the inner circle onto the outer circle, the inner circle would need to be enlarged. The scale factor is:

k = outer circle radius / inner circle radius = 2r / 1r = 2

A dilation with a scale factor of 2 would be needed to map the inner circle onto the outer circle.

That is:

(x, y) ⇒ (kx, ky)

The dilation should be (x, y) ⇒ (2x, 2y)

What is transformation and dilation:

Transformation refers to the point movement that starts from beginning location to the new location. The dilation refers to the increment or decrement of the figure size.

Here,

The scale factor should be calculated by dividing the  outer circle radius from the inner circle radius

[tex]= 2r\div 1r[/tex]

= 2

Therefore, The dilation should be (x, y) ⇒ (2x, 2y)

Learn more about radius here: https://brainly.com/question/5525937

I really need help. Pleeease. I'm begging you!

Answers

the answer is totally numbers

Select the correct answer.
What is the solution set of 4x = y and [tex]2x^{2} -y=0[/tex]

A.
{(0.5, -0.5), (2, -8)}

B.
{(0, 0), (2, 8)}

C.
{(1.5, 2), (8, 2)}

D.
{(-1.5, -2), (2, 8)}

Answers

Answer:

B.

{(0, 0), (2, 8)}

Step-by-step explanation:

Substitute 4x in for y in the second equation.  

[tex]2x^{2} - 4x = 0\\[/tex]

2x(x - 2) = 0

x = 0    or x - 2 = 0

                     x = 2

Substitute x = 0 and x = 2  in the first equation to get the corresponding values for y

4(0) = y    and 4(2) = y

y = 0     or   y = 8

So, B is the correct answer

Someone help me (10 points each person)

Answers

Answer:

x=56

Step-by-step explanation:

Alternate exterior angles are congruent if the lines crossed by the transversal are parallel (which they are).

Answer:

56

Step-by-step explanation:

It would also be 56 degrees because if both 360 degree angles are parallel to each other and if each of the 360 degree angles had two top and bottom 180 degree angles and if 56 was subtracted to 180 you would get 124 and when you plus that with 56, you get 180 so if that is true for all 4 180 degree angles in this problem, then X would equal 56 no doubt.

Bruce saves $3 of every $5 he
earns. How much would he have
for spending if he earned $60?

Answers

Answer:

20

Step-by-step explanation:

:) hope it helps

What is the equation of the additive relationship represented by this table?

Enter your answer by filling in the box using an integer.


x y
9 5
12 8

Answers

Answer:

x-4=y

Step-by-step explanation:

I don't want to explain just trust me.

A circle has equation
x2 + y2 = 8
Find the area of the circle.

Answers

Answer:

x=4 y=0 or x=2 y=2 or x=0 y=4

Step-by-step explanation:

Answer:

because the circle has equation: x² + y² = 8

=> the circle has the centre I(0;0)

the radius R = 2sqrt(2)

=> the area of the circle =

[tex](2 \sqrt{2})^{2} \times \pi = 8\pi =23.13 [/tex]

question is in the pic

Answers

Answer:

B. 68 dollars

Step-by-step explanation:

This option makes the most sense because in hour 2, the profit was 58. In hour 6, the profit was 126. Subtract 126 - 58 to find the rate of change and you get 68.

Hope it helps!

Simplify completely. Leave your answer in exponential form:

Answers

Answer:

[tex] {2}^{3} \times {4}^{3} \times 9[/tex]

Step-by-step explanation:

Using the division rule when dealing with exponents

[tex] \frac{b {}^{h} }{b {}^{j} } = b {}^{h - j} [/tex]

meaning that when we divide exponents that have the same base but different powers we can subtract the power of the bottom exponent from the top exponet.

so using that we are going to do 2, 4 and 9

[tex] \frac{2 {}^{8} }{ {2}^{5} } = {2}^{8 - 5 = 3 \: \: \: \: \: 2 {}^{3} } [/tex]

[tex] \frac{ {4}^{4} }{ {4}^{1} } = {4}^{4 - 1} \: \: \: {4}^{3} [/tex]

[tex] \frac{9 {}^{9} }{ {9}^{8} } = {9}^{9 - 8} = 9 {}^{1} [/tex]

Combine all the terms and we get

[tex] {2}^{3} \times 4 {}^{3} \times {9}[/tex]

What is the value of x?
Original 9 inches - 6 feet
Enlargement 12 inches - x feet

Answers

Answer:

Step-by-step explanation:

Other Questions
Xylem is made of _________ cells. * A soccer player tears the synovial membrane near his knee. How will this affect the membrane's ability todo its job?A. There will be more friction when the bones in the joint try to move.B. The space between the bones will solidify.C. The tissue that connects bone to bone will no longer be protected.D. The knee will fill with blood and become unmovable. HELP MEE! WILL MARK BRAINLIEST, NEED ALL 4 ANSWERS 2. The love potion causes mainly:A. clarityB. confusionC. curiosityD. adventure What does poor in purse and poor in brains mean?A: He didnt carry money in a purse and wasnt smart.B: He didnt have much money and he had a head injury.C: He didnt have much money and he wasnt intelligent.D: He didnt have any purses and was missing part of his brain here are 3 number 1 2 4 what it the 4 and 5 terms of the sentance What food group that gives pregnant woman nutrients for growth 4.1 Bacteria which are rod shaped4.2 a4.3 Structures that display characteristics of living organiwithin living cells4.4 A term used to describe organisms that cause diseases4.5 The close association between two organisms where obenefit McHuglism4.6 Disease caused by a virus that leads to a gradual destrimmune system AB1.7 Process by which bacteria break organic matter into sinutrients which are then returned to the soil deconreach of the phrases in column I, state whether it appliesonly, both A and B or none in column II. Write down A onlyand B, or none in your answer book. Arrange the events in the order in which they happened. Simplify:3 (2x 2) 2 (x 2) [tex]2.25 \times 30[/tex] (based on the last question, i forgot to add a picture) Please help ASAP! I'll give the brainiest to whoever helps me just please help :( why would a pregnant mother need more calcium than a woman her age that is not pregnant? Which of the following conditions does NOT create a triangle?A.side lengths of 2 in, 4 in, and 7 inB.angle measures of 33, 58, and 89C.two acute angles and one obtuse angleD.three sides with a measure of 3 cm each Prompt: You are a carbon atom and you have just been exhaled out of a deer. Describethe journey that you have been on or describe your new adventures. You should includeat least 10 things that you have learned in Unit 4 (cellular respiration, photosynthesis,carbon cycle, etc). Assignment 5 Resumen 150 palabras o ms La fiesta del rbol pgs 148+ What is a point of view in a story? the perspective from which the story is told scenery and setting the main character's Ideas how far you can see Which of these is an example of proper netiquette?A. Sexting with your friends.B. Posting photos of your family vacation on your blog.C. Bullying a person in a text.D. Viewing websites with adult content when you are under 21. Raheem's entire workout consisted of 15 minutes of warm-up exercises, 30 minutes of lifting weights,and 45 minutes on the treadmill.What is the ratio of the number of minutes he lifted weights to the total number of minutes of his entire workout? a. 1:1. b. 1:3. c.1:9. d.3:10 Graph a line with a y-intercept of 3 and containing the point (2, 5).To graph a line, plot two points on the line.