Find the equation of the linear function represented by the table below in slope-
intercept form.

Find The Equation Of The Linear Function Represented By The Table Below In Slope-intercept Form.

Answers

Answer 1

Answer:

f(x) = 5x - 5

Step-by-step explanation:

Let the equation of the linear function is,

f(x) = mx + b

Here, m = Slope of the graph

b = y-intercept

Slope of the line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]

From the table attached,

Slope of the line passing through (2, 5) and (6, 25) will be,

m = [tex]\frac{25-5}{6-2}[/tex]

m = 5

Equation of the linear function will be,

f(x) = 5x + b

Since, a point (10, 45) lies on the function,

45 = 5(10) + b

b = 45 - 50

b = -5

Equation of the linear function will be,

f(x) = 5x - 5


Related Questions

Does anyone knows how much is 3x X x? Plz help

Answers

because it’s x times x it would be 3x^2

Plzzzzzz help meeee plz I am timed

Answers

Answer:

multiplication property of equality. Hope this help and maybe a brainlist?

Step-by-step explanation:

Answer:

multiplication property of equality

Step-by-step explanation:

d/10=12

Multiply both sides by the equation by 10

10× d/10=10×12

Reduce the numbers by the greatest common factor which is 10

d=10×12

Multiply 10 and 12

d=120

So using multiplication to solve this equation

Find the sum 9/10 + 9/100 as a fraction.

Answers

Answer: 99/100

Step-by-step explanation:

9/10 + 9/100 = 0.99 We just need to convert 0.99 as a fraction, converted to a fraction it is 99/100.  Hope I helped!

Collectively, what are the interest costs and other fees for using a credit card called? A. balance B. credit line C. finance charge Reset Next​

Answers

The correct answer is C. Finance charge

Explanation:

A credit card is a service offered by financial entities such as banks that allows customers to buy goods and pay them later. This implies the customer does not immediately for goods but pays for these after a specific time. The use of this benefit implies related costs such as fees for the use of the credit card, and interest costs (money charged for borrowing the money from the bank), which are known as finance charge or the money charged for the benefit of using credit. According to this, the correct answer is C.

Please answer ASAP!

Which proportional relationship has the greatest rate of change?

Answers

Answer:

Option (1)  ;   y = 7x

Step-by-step explanation:

(1) reads y = 7x, a line with slope 7, therefore the rate of change in this is 7

(2) says that y increases 12 units every time that x increases 4 Then the rate of change is: (increase in y / increase in x = 12/4 =3

(3) shows a table from which we can see that an increase of y in 8 corresponds to an increase of x in 2:  rate of change = (8 - 0) , (2 - 0) = 4

(4) shos a line with slope (rate of change) given by:  (12 - 0) / (2 - 0) = 12/2 = 6

Therefore, the greatest rate of change is shown by the first expression  

y = 7 x

A number increased by 20% becomes 227. what is the number?

Answers

Answer: I think it's 272.4

Step-by-step explanation: hope it helps thx for the free points :)

Please help me ................

Answers

Answer: AAS

Step-by-step explanation:

The equation shows the relationship between x and y. Y=7×+9. What is the slope of the equation

Answers

Answer:

m=7

Step-by-step explanation:

Is this expression equivalent to 1.5?

0.15 x 100

Answers

False

We can simplify the expression to be sure: 100 * 0.15 = 15

Answer:

No

Step-by-step explanation:

You can do this in two ways-

You can multiply 0.15 and 100, and you will get 15.

-OR-

You can move the decimal points two places to the right since 100 has two zeros. (You could move it to the right three if it were 1000 because it has three 0s)

Which of these numbers is equivalent to n n in this equation?

10 1/6 − n = 4 5/12

A: 6 4/6
B: 5 4/6
C: 5 3/4
D 5 1/12

Answers

Answer:

The answer is C

Step-by-step explanation:

5 3/4 + 4 5/12 is 10 1/6

Your answer will be C. 5 3/4

Find the rational zeros of 2x3 + 3x2 – 11x - 6

Answers

Answer:

(2x+1)(x−2)(x+3)

Step-by-step explanation:

2x3+3x2−11x−6

2x3+3x2−11x−6

=(2x+1)(x−2)(x+3)

Answer:

-1/2

2

-3

Step-by-step explanation:

10/11 x 7/9 x 1/2 help meh!

Answers

Answer:

35/99 or .35 repeating

Step-by-step explanation:

just multiply

Answer:

35/99

Step-by-step explanation:

Multiply and you'll get 35/99 0.35 with a line above 35 which means repeating

What is the percent increase from 40 to 64

Answers

Answer:

60 percent

Step-by-step explanation:

Where: 40 is the old value and 64 is the new value. In this case we have a positive change (increase) of 60 percent because the new value is greater than the old value.

Angie has already written 19 pages, and she expects to write 1 page for every additional
hour spent writing. How many hours will Angie have to spend writing this week in order to
have written a total of 28 pages?

Answers

Answer:

[tex]9[/tex]

Step-by-step explanation:

[tex]28 - 19 = 9[/tex]

Answer:
9 hours

Explanation:
What we know:
- Angie has already written 19 pages
- Angies writes 1 page per hour

First, we can create the following equation to model this scenario:

Let x be equal to the number of hours that pass.
Total number of pages=1x+19

Now, because Angie wants to write 28 pages in total, we can plug that into the left side of the equation and solve for x, the number of hours.

28=1x+19
Subtract both sides by 19
28-19=1x+19-19
9=1x
x=9

Therefore, Angie would have to spend 9 hours to write a total of 28 pages.

I hope this helps!

convert 1 4/5 into an improper fraction

Answers

9/5 is the answer yea

Answer:

9/5

Step-by-step explanation:

I hope this helps im pretty sure its correct

The surface area of a cube is 216x4 square units. The length of each
edge of the cube is
(216/6 x^4) 1/2
units. Which of these is equivalent to
the length of each edge of the cube?
no

Answers

tep-by-step explanation:

76/9870

calculate the scale factor will mark branylis​

Answers

Answer:

I think it is D. K= 11/2

I think d.k= 11/2 maybe

When the model train goes once around the track, about how far does is travel?
3 ft
7 ft

Answers

Answer:

I think the answer is the train travels about 23.42

How many solutions does y - 13 =5x
Y - 5x =12
Show all work

A no solution
B one solution
C infinity solutions

Answers

9514 1404 393

Answer:

  no solutions

Step-by-step explanation:

Subtract the second equation from the first:

  (y -13) -(y -5x) = (5x) -(12)

  5x -13 = 5x -12 . . . . . . simplify

  0 = 1 . . . . . . . . . . . . . . .add 13-5x to both sides

No value of the variable will make this statement true.

There is no solution.

4) 4x + 3y = 56
2x + y = 24
Solve using elimination please show work

Answers

Answer:

x = 8     y = 8

Step-by-step explanation:

Multiply 2nd equation by -3 to get -6x - 3y = -72

Now  4x + 3y = 56

         -6x - 3y = -72

         -2x      =  -16

            x = 8

Substitute x = 8 into the 2nd equation

2(8) + y = 24

16 + y = 24

y = 8

Check:  Substitute the values into the 1st equation

4(8) + 3(8) = 32 + 24 = 56  So we have the correct values for x and y



(c) One lorry travels from your town to another town. The lorry reaches a top speed
of 90 km/h, but its average speed between the towns is only 66 km/h.
Why is the average speed less than the top speed?

Answers

Answer:

The average speed is 24 km/h less than the top speed of the lorry.

Step-by-step explanation:

The top speed of the lorry is the highest speed reached during transit, while its average speed is the mean speed attained

Given:.

Top speed of the lorry = 90 km/h

Average speed of the lorry = 66 km/h

Then,

The difference between the speed reached = top speed - average speed

                                            = 90 - 66

                                            = 24 km/h

Therefore, the average speed is 24 km/h less than the top speed of the lorry.

Find the volume of a cylinder with a radius of 5cm and a height of 3cm

Answers

Answer: 235.5

Step-by-step explanation:

CYLINDER VOLUME FORMULA

V = pi * r^2 * h

V = 3.14 * 5^2 * 3

V = 3.14 * 25 * 3

V = 3.14 * 75

V = 235.5

Answer:

235.62

Step-by-step explanation:

formula: V=π[tex]r^{2}[/tex]h=π·[tex]5^{2}[/tex]·3

what is the scale factor of triangle abc and triangle def​

Answers

Answer:

The answer is 6

Step-by-step explanation:

ABC is 72, 66, 42 and DEF is 12, 11, 7

simply divide the largest shape measurements by the smaller one.

72÷12

66÷11

42÷7

you get 6 in all of them, this technique may not work all the time.

write an expression equivalent to 6 - 2x +5+ 4x that only has two terms

Answers

Answer:23

Step-by-step explanation:

What is the difference between an issue and a claim?

Answers

i believe an issue has actual evidence to back it up while a claim is kind of like a hypothesis and it needs to be tested

Answer:

A claim persuades, argues, convinces, proves, or provocatively suggests something to a reader who may or may not initially agree with you.

a matter that is in dispute between two or more parties OR the point at which an unsettled matter is ready for a decision

Step-by-step explanation:

please help!!! Ill give brainliest

Answers

Answer:

the answer is C

you will calculate the area of the wall and also the window. Then you subtract the area of the window from the wall. the answer is 152 ft square

Lillian and Isabella went shopping for school supplies. Lillian found her favorite notebook on sale so she bought three of the exact same notebook. Isabella also wanted a notebook. She bought one of the same notebooks that Lillian bought. Both girls started shopping with the same amount of money. If Lillian spent all of her money and Isabella had $5 left, how much money did each girl have when she arrived at the store? please show your work/steps​

Answers

Answer:

Each girl had $7.50 when they arrived.

Step-by-step explanation:

We have to figure out what c (cost of each notebook) is first before we find out how much money each girl had. We also know they have the same money, so both sides are connected. The equation should be: 3x = x + 5.

3x = x + 5

First, subtract x from both sides. This cancels out the addition by x.

3x - x = 5

Now, subtract x from 3x. This equals 2x.

2x = 5

To cancel out the multiplication by 2, divide both sides by 2.

x = 5/2

Lastly, divide 5 by 2 to get 2.5.

x = 2.5

Substitute x for 2.5 in the earlier equation (3x = x + 5)

3(2.5) = 2.5 + 5

First, multiply 3 by 2.5 to get 7.5.

7.5 = 2.5 + 5

Add 2.5 to 5 to get 7.5.

7.5 = 7.5

Both sides are equal so we have our answer. So, both girls had $7.50 when they arrived at the store.

What is the answer to Rx+12r+8r

Answers

Answer: Rx + 20r

Step-by-step explanation:

Sue is making a square blanket. She has 169 square feet of fabric for the blanket. How long will one side measure when she completes the blanket?

Answers

Answer:

13

Step-by-step explanation:

Area = 169

Square Blanket Area =  169

what is the answer?

Answers

C because 3x is three times x and it equals 3x^2

Answer:

I think it is C. Hope this helps!!! PLEASE MORK ME AS BRAINLYEST PLEZZZ

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