Find the equation of the linear function represented by the table y 6 9 12 15 x 1 2 3 4​

Answers

Answer 1

Answer: y = 3x + 3

Step-by-step explanation:

We know the linear function as following:

y = mx + b

m is the slope of the equation. b represents the y-intercept.

To find m, we divide the rate of change of y by the rate of change of x. We know that the rate of change y is +3 because we add three each time in order to find the next value. The rate of change of x is +1 because we add one each time to find the next value. So m would be:

m = 3/1

m = 3

Our linear equation is now as following:

y = 3x + b

In order to find b, we should first substitute a coordinate in the equation above.

y = 3x + b

6 = 3(1) + b

Then, we multiply 3 with 1

6 = 3 + b

Finally, we substract 3 on both sides. Now we've got our b value.

b = 3

Now our equation should look like this.

y = 3x + 3

To verify if the equation, we should substitute another coordinate, and verify if each side of the equation is equal.

y = 3x + 3

15 = 3(4) + 3

15 = 12 + 3

15 = 15

So we now know that the equation is indeed correct.

Answer 2

Answer:

y = 3x + 3

Step-by-step explanation:

As per given table we have ordered pairs:

(1, 6), (2, 9), (3, 12), (4, 15)

Find the slope and y- intercept to work out the equation.

y = mx + b

The slope:

m = (9 - 6)/(2 - 1) = 3/1 = 3

The y -intercept:

6 = 3*1 + b6 = 3 + bb = 3

The equation is:

y = 3x + 3

The graph is attached

Find The Equation Of The Linear Function Represented By The Table Y 6 9 12 15 X 1 2 3 4

Related Questions

Which of the following inequalities is represented by the number line?
Question 9 options:

A)

x ≥ 1

B)

x < 1

C)

x > 1

D)

x ≤ 1

Answers

Solid dot with line (arrow) to right so A) x>= 1 is correct

Answer:

Step-by-step explanation:

x ≥ 1

Hope this helps!

close circle = ≥ or ≤

open circle = > or <

positive number = going to the right

negative number = going to the left

Mako runs 10 miles in 2 hours. If he continues at this rate, how many miles
will he run in 5 hours?
A. 50 miles
B. 10 miles
O C. 25 miles
O D. 30 miles

Answers

Answer:

Answer: 25 miles

Step-by-step explanation:

Explanation: He will run 5 hours= 5x5=25

Answer:

25 miles

Step-by-step explanation:

I'll create a set of proportions to figure out the answer (represented by x):

2:10 = 5:x

It looks like our proportion on the left, 2:10, can be simplified by dividing both sides by 2 to get 1:5.

1:5 = 5:x

You can multiply 1 by 5 to get 5, so we should be able to multiply 5 by 5 to get the value of x. 5 times 5 is 25, so the answer to the question is 25 miles.

If you have questions or need clarification on anything, let me know!

what is the greatest common factor of 42, 12, and 6?​

Answers

Answer:

The greatest common factor is surprisingly 6.

All three numbers can be divided by 6 and it is the highest value that can be taken from all three numbers.

Step-by-step explanation:

Hope this helps.

<3

Answer:

the GCF of those numbers is 6.

Step-by-step explanation:

One way to solve this is to list the factors of them, then find the greatest one that they share.

42: 1, 2, 3, 6, 7, 14, 21, 42

12: 1, 2, 3, 4, 6, 12

6: 1, 2, 3, 6

If we look at them, notice that six is in all of them. All of them have factors of six. Can we go any higher than that? No because six is the greatest factor of six, so we can't go any higher and still have all of them share a GCF. So your answer is 6.

The number of marbles each sister gets when m marbles are shared equally among four sisters x = m/4

Answers

Answer:

m/4

Step-by-step explanation:

can somebody please help me asap

Answers

the slope is 2/3 and the y intercept is -3

Please solve this. I need help on it​

Answers

Answer:

look at the photo............

9514 1404 393

Answer:

  ∠PTQ = 40°

  ∠PTR = 140°

Step-by-step explanation:

The two marked angles are "vertical" angles, so are congruent.

  ∠PTQ = ∠STR

  (x +28)° = (2x +16)°

  12 = x . . . . . . . . . . . . . . . divide by °, subtract x+16

Then the measure of angle PTQ is ...

  ∠PTQ = (x +28)° = (12 +28)° = 40°

That and angle PTR form a linear pair, so are supplementary.

  ∠PTR = 180° -∠PTQ = 180° -40° = 140°

Who does edge still in 2021?

Answers

Everyone uses this sofware to develop there decent knowledge about different courses that are best taught by Artificial Intelligence (A.I.).

I need the answer ASAP

Answers

Answer:

Step-by-step explanation:

49 i Think I dont know but your part A is correct

Answer:

49 For sure is your answer

Choose the BEST estimate!

Answers

Answer:

About 300 dollars

Step-by-step explanation:

THe best estimate for week one is 300, because 96 rounds to 100, and 100 * 3 equals 300.

The best estimate for week 2 is 600, because 204 rounds to 200, and 200 * 3 equals 600.

600 - 300 = 300, therefore the difference is about 300 dollars.

Hope this helps!

PLS HELP ILL GIVE BRANLIEST
What is the value of b in the equation (y^b)^4= 1/y^24?​

Answers

Answer:

b= -6

y^(b×4) = y^(-24)

b= -6

The zero of F -1(x) in F(x) = x + 3 is

-3
0
3

Answers

Answer:

The only zero of [tex]F^{-1}(x)[/tex] is [tex]3[/tex].

Step-by-step explanation:

The function [tex]F^{-1}[/tex] is the inverse of function [tex]F[/tex].

For a given [tex]x[/tex] and a given [tex]y[/tex], [tex]F^{-1}(y) = x[/tex] if and only if [tex]F(x) = y[/tex].

Let [tex]y[/tex] be a zero of [tex]F^{-1}(y)[/tex]. That is, [tex]F^{-1}(y) = 0[/tex].

By the reasoning above, since [tex]x = 0[/tex] and this particular [tex]y[/tex] satisfy [tex]F^{-1}(y) = x[/tex], it must be true that [tex]F(x) = y[/tex] for the same [tex]x = 0\![/tex] and [tex]y\![/tex].

Since [tex]x = 0[/tex] and [tex]F(x) = x + 3[/tex], [tex]F(0) = 3[/tex]. Therefore, [tex]y = F(0) = 3[/tex] since [tex]y = F(x)[/tex].

Thus, the zero of [tex]F^{-1}(y)[/tex] would be [tex]y = 3[/tex].

Which of these provides the best evidence that an environmental change has occurred?

Answers

Answer:

after a dry periods lasting many years only a few individuals of a tree population survive and then produce drought tolerant offspring.

Step-by-step explanation:

If
f(x) = 6x2 − x3,
find f '(1) and use it to find an equation of the tangent line to the curve
y = 6x2 − x3
at the point (1, 5).

Answers

Evaluate the derivative of f(x) at x = 1. I'll use the limit definition:

[tex]\displaystyle \lim_{x\to1} \frac{f(x)-f(1)}{x-1} = \lim_{x\to1} \frac{6x^2-x^3-5}{x-1} = \lim_{x\to1}(-x^2+5x+5) = 9[/tex]

Then using the point-slope formula, the equation of the tangent line to f(x) at the point (1, 5) is

y - 5 = 9 (x - 1)

y = 9x - 4

The equation of "tangent-line" to the curve "y = 6x² - x³" at the point (1, 5) is : y = 9x - 4.

To find the derivative of the function f(x) = 6x² - x³, we differentiate each term with respect to x:

f(x) = 6x² - x³,

f'(x) = d/dx (6x²) - d/dx (x³),

f'(x) = 12x - 3x²,

Now, we need to find f'(1), which means evaluating derivative at x = 1;

f'(1) = 12(1) - 3(1)²,

f'(1) = 12 - 3,

f'(1) = 9,

The slope of tangent-line at point (1, 5) is given by f'(1), which is 9;

Using the point-slope form of equation of line (y - y₁ = m(x - x₁)), where m = slope and (x₁, y₁) is the given point (1, 5);

⇒ y - 5 = 9(x - 1),

Simplify the equation:

⇒ y - 5 = 9x - 9,

⇒ y = 9x - 4,

Therefore, the required equation of tangent-line is y = 9x - 4.

Learn more about Tangent Line here

https://brainly.com/question/31617205

#SPJ3

Anyone know thisss

its math

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is :

[tex]y - 2 = - 3(x - 2)[/tex]

How do I solve 0.0055 m a cm ?

Answers

Answer:

863.83

Step-by-step explanation:

es por qué es un número multimedios y los los número se asen pares

dl


Find the perimeter of the
triangle.
16% + 16) cm
(9%-11) cm

Answers

Answer:

Step-by-step explanation:

Three equal sides, so lets find one by solving for x

6x + 16 = 9x-11

      -3x = -27

         x = 9

6(9) + 16 = 70

 9(9) - 11 = 70

70(3) = 210 cm

12x – 9y = 135. Fully simplify your answer.

Answers

Answer:

[tex]x=\frac{3\left(y+15\right)}{4}[/tex]

Step-by-step explanation:

Answer:

I belive the answer is 15! Brainest?

Step-by-step explanation:

Simplify the following:

[tex]\sqrt{50} x^{2} y^{3}[/tex]

Answers

Answer:

5xy[tex]\sqrt{2y}[/tex]

Step-by-step explanation:

Answer: simplify

5√2x² y²

What are the leading coefficient and degree of the polynomial?
v +9-45-124

Answers

Answer

5x

Step-by-step explanation:

Dan received these tips in a given week. How much were his total tips.?

Answers

Answer:

we need the amount of tips to answer this ;-;

Step-by-step explanation:

If x=47 , find the measures of angles 1,2 and 3​

Answers

Angle x and 2 are congruent so angle 2 is also 47 degrees.

Angle x and angle 1 are supplementary so angle x and angle 1 adds up to 180 degrees.

180-47=133. Angle 1 is equal to 133.

Angle 1 and angle 3 are congruent as well so angle 3 is also 133 degrees.

i will give brainliest to the best answer.

Answers

Answer:

Step-by-step explanation:

The slope intercept form is like so:

y = mx + b

mx is the slope

b is the y-intercept

Now in your equation:

y = 0.25x + 2

0.25x is the slope

2 is the y-intercept

What is the solution to the equation?
--23 = x – 18
х
Enter your answer in the box.

Answers

Answer:

x=-5

Step-by-step explanation:

move the x to the other side. Then move the - 23. you get -x=5

you divide by -1 and you get x=-5

Step-by-step explanation:

Given equation,

-23 = x - 18

⇛-23 + 18 = x

⇛ -5 = x

⇛x = -5 Ans.

Hence, the value of "x" is -5.

The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. Write the ratios as fractions in simplest form.

Answers

Answer:

i need a picture or something man

Step-by-step explanation:

Wesley willed his estate to Margaret,
no b Betty Jo, and Johnny. He gave Margaret
$20,000. Betty Jo got 22 times as much as
Margaret. Johnny got 32 times as much
as Margaret. What was the total value of
the estate?

Answers

Answer:

1,100,000

Step-by-step explanation:

20000 + 22(20000) + 32 (20000)= 55 (20000)= 1,100,000

Answer:

1,100,000

Step-by-step explanation:

work out the value of 5(x-y)

Answers

Answer:

5x - 5y

Step-by-step explanation:

Answer:

5x-5y or x=y.

Step-by-step explanation:

If 5(x-y) then we can distribute that, right?

then that turns into 5x-5y, lets say that equals zero, since there is no other information. Then 5x-5y=0 and wecould add 5y to both sides, getting 5x=5y

dividing 5x=5y/5 we get x=y.

Find the value of x. 2x – 15 – 7x + 24 = -36​

Answers

Answer:

9

Step-by-step explanation:

hlo!! dear!! glad to help u!

2x – 15 – 7x + 24 = -36​

2x -7x -15 +24= -36

-5 x + 9= -36

-5 x = -36-9

-5 x =-45

x = -45/-5

x = 8

thank u!!!

help plz for brainliest

Answers

0.95

Explanation: divide 19 by 20, and you will get .95! Hope this helps!

Today eight friends went for lunch there total bill was $34.56, including tax. One of them ordered always soda and needed to pay only $1.94. The other seven friends or the same daily special. How much did each of the other friends need to pay?

Answers

Answer:4,66

Step-by-step explanation: first , we subtracted 1 people . 34,56 - 1,94 = 32,62 . then we divided for seven people . we have : 32,62 : 7 = 4,66 each person

Caleb wants to rent a kayak. Kayak rentals cost $91.61 for a half hour. If Caleb rents a kayak for 2.9 hours, how much will it cost him?

Answers

Answer:

$265.669

Step-by-step explanation:

$91.61 times 2.9 equals 265.669, therefore it would cost him $265.669. Round up/down if needed.

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