Use the table to write a linear function that relates y to x.



y=

Use The Table To Write A Linear Function That Relates Y To X.y=

Answers

Answer 1

Answer:

A linear function that relates y to x is:

[tex]y\:=\:\frac{2}{3}x\:+\:5[/tex]

The graph of the linear function is also attached.

Step-by-step explanation:

Given the table

x          -3           0              3             6

y          3           5               7            9

The slope-intercept form of the line equation

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

where

m is the slopeb is the y-intercept

Taking two points (-3, 3) and (0, 5) from the table to determine the slope of the linear function

(x₁, y₁) = (-3, 3) (x₂, y₂) = (0, 5)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                 =  [5 - 3] / [0 - (-3)]

                 = 2 / 3

Thus, the slope of the line = m = 2/3

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the table, it is clear

at x = 0, y = 5

Thus, the y-intercept b = 5

substituting m = 2/3 and b = 5 in the slope-intercept form of the line equation

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

[tex]y\:=\:\frac{2}{3}x\:+\:5[/tex]

Therefore, a linear function that relates y to x is:

[tex]y\:=\:\frac{2}{3}x\:+\:5[/tex]

The graph of the linear function is also attached.

Use The Table To Write A Linear Function That Relates Y To X.y=

Related Questions

What negative number equals to the number 10

Answers

The answer to that is - 10
I agree with the person above

Gia walked 1/4 mile from her house to the park, then 3/8 mile around the park, and then 1/4 mile back home. How many miles did she walk in all?

Answers

Answer:

7/8 miles

Step-by-step explanation:

Given data

From her house to the park= 1/4 miles

Around the park = 3/8 miles

back home= 1/4 miles

Total distance= 1/4+3/8+1/4

LCM= 8

=2+3+2/8

=7/8 miles

Edward deposited $8,500 into a savings account 5 years ago. The simple interest rate is 3%. How
much money did Edward earn in interest?

Answers

Answer:

1275

Step-by-step explanation:Step-by-step explanation:

For us to get the Simple interest, we have to use the formula:

= PRT

= Principal × Rate × Time

= $8500 × 5% × 3

= $8500 × 5/100 × 3

= $8500 × 0.05 × 3

= $1275

This figure shows the dimensions of a right triangular prism.
What is the volume of the right triangular prism in cubic
centimeters?
160 cm3
240 cm3
960 cm3
1920 cm3
PLEASE HELP ILL
GIVE BRAINLIEST

Answers

Answer:

960

Step-by-step explanation:

Boom! If I get this wrong I am bad.... :(

Answer:

960

Step-by-step explanation:

I took the test look

9.Find the side of a cube whose surface area is 5400cmsquare.

Answers

Answer:

a=square root of a/6 = square root of 5600/6 = 30

i would like to have my brainliest naw, thx

(4x2 – 3x + 2) - (x - 5)(x + 5)+ 6x?

Answers

Answer:

The answer is 3x^2 + 3x + 27

Step-by-step explanation:

Simplify the expression.

hoped this helped!

brainly, please?

HELP PLEASE IM IN A TIMED TESTTTT !!!

Mr. Frankel bought 7 tickets to a puppet show and spent $43. He bought a combination of child tickets for $4
each and adult tickets for $9 each. Which system of equations below will determine the number of adult
tickets, a, and the number of child tickets, c, he bought?


1. a=C-9
9a + 40 =43

2. 9a +4c=43
a+c=7

3. 40 + 40 = 50
a+c=7

4. a+c= 301
a+c=7

Answers

Answer:

Step-by-step explanation:

2. 9a +4c=43

a+c=7

The total tickets for adults and children = 7 (a+c =7)       7 people in all

price for adult = $9  (9a)   Price per child =$4 (4c)

total price =$ 43

  9a +7c = 43

Suppose you invest $2200 at an annual interest rate of 5.3% compounded continuously. How much will you have in the account after 7 years?

Answers

Step-by-step explanation:

step 1. Let's call the amount of money A.

step 2. A = A¡e^(rt) (continuously compounding equation)

step 3. A = A¡e^(rt). A¡ = initial amount. r = rate, t = time.

step 4. A = 2200e^((.053)(7)

step 5. A = $3188.20

THIS IS FOR AN EXAM NEED HELP!!! Directions: Show all your steps as you solve the following problems. Round the solutions to the nearest hundredth if necessary.


7. On a 40‐point test, Steve received an 80%. How many points did he receive on the test?


8. Of the 8760 hours in a year, most televisions are on for 2190 hours. What percent is this?


9. The population of a town increased from 620 to 700. What is the percent of increase?


10. The population of a small town increased 23% from its population in 2000 to its population in 2003.
If the population of the town in 2000 was 25,314, what was its population in 2003?


11. To control his weight, Joel reduced his calorie intake from 2500 calories to 1950 calories each day. What was his percent of decrease for calorie intake?


12. The sales tax in Whittle City is 7%. How much tax is charged on a purchase of $53?


13. What is the simple interest on $2500 invested at an interest rate of 6% for 2 years?


14. Shawn earned a 5% commission on a $500 sale. How much did he earn?


15. Andrew measured the time it took for an apple to fall 50 feet as 1.95 seconds, but his calculations show that it should be 1.77 seconds. What was his experimental error?

Answers

1. 32 points 2. 25% 3. 2,100 4. 22% 5. 56.71 6. $300 7. $25 8. The answer for given problem is -2, but Andrew get -21.6 which is wrong.

Step-by-step explanation: brainliest pls ^^

If 20% of a number is 28 and 25% of the same number is 35, find 45% of that
number.

Answers

Answer: 63

Explanation: The sum of the two percentages is 45%. Thus the sum of the 28 and 35 (63) is equal to 45% of the number.

If you needed to check your work, you could work out the number to be 140 and simply multiply by 0.45.

Which of the following numbers are factors of 16 and 20?

Answers

Answer:

The set of factors of 20 is {1, 2, 4, 5, 10, 20} and the set of factors of 16 is {1, 2, 4, 8, 16}. {1, 2, 4, 5, 10, 20} ∩ {1, 2, 4, 8, 16} = {1, 2, 4} which has greatest value 4. So, GCF(20, 16) = 4.

Step-by-step explanation:

Answer:

The factors of 20 is 1, 2, 4, 5, 10, 20

The factors of 16 is 1, 2, 4, 8, 16

Step-by-step explanation:

i need help with number 1​

Answers

Answer:

Step-by-step explanation:

Given

Points: (0,3) and (-4,-1)

Formula

x = 0 to find the y intercept

m = (y2 - y1)/(x2 - x1)

Solution

y2 = 3

y1 = - 1

x2 = 0

x1 = - 4

m = (3 - -1)/(0 - - 4)

m = 4/4

m = 1

You have y = mx + b so m = 1

the general equation becomes y = x + b

Use point (0,-4)

y = x + b

- 4 = 0 + b

b = - 4

y = x - 4

Answer:

Step-by-step explanation:

Find 3 numbers in G.P whose sum is 28 and whose product is 512

Answers

Answer:

4, 8 and 16

Step-by-step explanation:

a/r ×a×ar =512

a^3 =512

a = cube root of 512

a=8

8/r+8+8r=28

8r^2+8=20r

8r^2-20r+8=0

8r^2-16r-4r+8=0

8r(r-2)-4(r-2)=0

(8r-4)(r-2)=0

r=2

8r=4

so r=2 or r=1/2

so of r is 2

8/2=4

and 8×2=16

What is 340 as a percent?

Answers

340 as a percent is 100%

A tree is growing at a constant rate. It is recorded that at the 7th year since it was planted it was at a height of 25 feet. It was recorded again at the 10th year since it was planted and it was at a height of 31 feet. How much does the tree grow every year?

Answers

9514 1404 393

Answer:

  2 feet per year

Step-by-step explanation:

In the 3 years between the 7th and 10th, the tree grew 6 feet from 25 ft to 31 ft. The rate of growth is ...

  (6 ft)/(3 yr) = (6/3) ft/yr = 2 ft/yr


[tex]x + 7 < - 2[/tex]
Choose an operation to isolate the variable

Blank. Blank. on both sides
-------- --------
.add. .-7
.subtract. .-2
.multiply by. .2
.divide by. .7​

Answers

First one because when you subtract 7 u keep the var. x alone and isolate it.

(3x−1)+x2−4 when x=3

Answers

Answer:

10

Step-by-step explanation:

(3x-1)+2x-4 turns into

(3x3 -1)+2x3 -4

(9-1)+6-4

8+2

10

Solve for p
PLEASE ANSWER FAST

Answers

Answer:

p = 43

Step-by-step explanation:

p + 7 + 3p + 1 = 180

4p + 8 = 180

4p = 172

p = 43

Answer:

yo, i answered this yesterday, but the answer button wasn't available omg

p =43

Step-by-step explanation:

Salim built a rectangular prism with a length of 5 inches, a width of 4 inches, and a height of 3 inches. Would the prism Natalie built with a length of 3 inches, a width of 4 inches, and a height of 5 inches have the same volume or a different volume than Salim’s prism?

Answers

Answer:

same volume

Step-by-step explanation:

5X4X3=60, 3X4X5=60

3. Would it be more efficient to use an inequality vo
or to list all of the quantities less than 6? Explain.

Answers

Answer:

Inequality

Step-by-step explanation:

There are an infinite number of quantities less than 6 (5, 4, 3, 2, 1, 0, -1, -2, -3...) so it is much easier to write an inequality

John want to buy a pair of boots that originally cost $85.99 He found a coupon for %30 off what will he pay for the boots?

Answers

Answer:

$60.19

1.) 85.99 x 0.30

2.) 25.797 - 85.99

3.) 60.193

4.) round

$60.19

Hope this helped!

Answer:

John is paying $60.19 for the boots after 30%off.

Step-by-step explanation:

$60.193 or $60.19

what is x? -2.5x- 2=18​

Answers

Answer:

x = -8

Step-by-step explanation:

-2.5x - 2 = 18.

Add 2 to both sides.

-2.5x = 20.

Divide both sides by -2.5.

x = -8


Find the length of AD in the diagram shown.
A) 7
B) 7.5
C) 9
D 16.5

Answers

Answer: 16.5

Step-by-step explanation:

The correct answer is given :) , for proof please select the picture in order to understand.

Here, thankyou!!!!!!!

Answers

Answer:

Perimeter of i - 22CM

Area of i - 13CM^2

Perimeter of ii -38CM

Area of ii -66CM^2

Perimeter of iii -30CM

Area of iii- 42CM^2

Perimeter of iv - 50CM

Area of iv- 126CM^2

Step-by-step explanation:

SHAPE I:

PERIMETER = S + S + S + S + S +S

= 7 + 1 + 5 +3 +4 +2

= 22CM

AREA = Part a - 4 * 2 = 8cm^2 part B - 5 *1 = 5cm^2

Total = 8 + 5 = 13cm^2

SHAPE II:

PERIMETER = S + S + S + S + S +S

= 4 + 4 +5 + 6 + 9 + 10

= 38 CM

AREA = Part a - 5 * 10 = 50 cm^2 part B - 4 *4 =16 cm^2

Total = 50+16 =66 cm^2

SHAPE III:

PERIMETER = S + S + S + S + S +S

= 9 + 2 + 3 + 4 + 6 + 6

= 30CM

AREA = Part a - 6 * 6 = 42cm^2 part B - 3 * 2= 6cm^2

Total = 36 + 6 =42 cm^2

SHAPE IV:

PERIMETER = S + S + S + S + S +S

= 9 + 10 + 4 + 6 + 6 + 15

= 50 CM

AREA = Part a -15 * 6 = 90 cm^2 part B - 9 *4 = 36cm^2

Total = 90 + 36 = 126cm^2

HOPE THIS HELPED

Marcos debe pintar 5/9 de la cubierta de un velero. Al acabar el día ha pintado 21/36 . ¿Ha conseguido cumplir su objetivo? ¿Ha pintado más? ¿Ha pintado menos?

Answers

Answer:

a) Have you managed to meet your goal?

Yes

b) Have you painted more? Have you painted less?

You have painted more.

Step-by-step explanation:

Marcos should paint 5/9 of the deck of a sailboat.

At the end of the day he painted 21/36.

Reducing this to the simplest form = 21/36

Dividing Numerator and Denominator by 3

= 7/12

Finding the difference between both fractions

= 7/12 - 5/9

The Lowest Common Denominator = 36

= 21 - 20/36

= 1/36

Therefore:

a) Have you managed to meet your goal?

Yes

b) Have you painted more? Have you painted less?

You have painted more.

Which two statements are true

Answers

Answer:

Only 2nd option is the correct answer.

There is no other correct option given.

Step-by-step explanation:

Hope it helps you in your learning process.

Plz help me I need a good person to help plz plz

Answers

Answer:

True

Step-by-step explanation:

Thhe answer to this is true

PLS HELP Its somewhat easy math

Answers

a - 20 inches
b - 29 1/4

Ayana and Victor have summer jobs selling newspaper subscriptions door-to-door, but their compensation plans are different. Ayana earns a base wage of $12 per hour, as well as $1 for every subscription that she sells. Victor gets $4 per subscription sold, in addition to a base wage of $6 per hour. If they each sell a certain number of subscriptions in an hour, they will end up earning the same amount. How many subscriptions would that be? How much would each one earn?

Answers

Answer:

2

$14

Step-by-step explanation:

Let x = number of subscriptions sold

Total income of Ayana per hour = $12 + $1x

Total income of Victor per hour = $6 + $4x

To find the number of subscriptions that would equate their incomes :

$12 + $1x = $6 + $4x

Collect like terms

$12 - $6 = $4x  - $1x

$6 = $3x

Solve for x

x = $2

The subscription that would equate their income would be $2.

The income each would earn = $12 + $1(2) = $14

Write an equation of a line in slope-intercept form with the given slope and y-intercept.
slope: -4, y-intercept: -1

Answers

Answer:

[tex]y = - 4x - 1[/tex]

Step-by-step explanation:

The standard equation for slope intercept form is

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

where m is the slope and b is the y intercept.

plug -4 as m and -1 as the y intercept

[tex]y = - 4x - 1[/tex]

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