Find the equation of the linear function represented by the table below in slope-
intercept form.
x
o
1
2
3
4
у
4
10
16
22
28

Answers

Answer 1

to get the equation of any straight line we simply need two points off of it, hmm let's get two from this table

[tex]\begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 0&4\\ 1&10\\ 2&16\\ 3&22\\ 4&28\\ \cline{1-2} \end{array} \begin{array}{llll} \\ \leftarrow \textit{let's use this point}\\\\ \leftarrow \textit{and this point} \end{array}[/tex]

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{22}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{22}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}}\implies \cfrac{12}{2}\implies 6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{6}(x-\stackrel{x_1}{1}) \\\\\\ y-10=6x-6\implies y=6x+4[/tex]


Related Questions

please help me with this answer

Answers

Answer:

-5, -1, 3 is the answer

Step-by-step explanation:

Range is the numbers vertical hope this helps!:)

1/3(y+7)=3(y−1)
Solve for y

Answers

Answer:

2

Step-by-step explanation:

multiplying each number by 1/3 gives

1/3y+7/3= 3y-3

3y-1/3y=7/3+3

8/3y=16/3

y=16/3÷8/3

y=16/3×3/8

y=2

The solution of the equation 1/3(y+7)=3(y−1) will be ; y = 2

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the equation is 1/3(y+7)=3(y−1)

First, multiplying each number by 1/3 gives;

1/3y+7/3= 3y-3

3y-1/3y=7/3+3

8/3y=16/3

Cross multiplication;

y=16/3÷8/3

y=16/3×3/8

y=2

Therefore, the solution of the equation 1/3(y+7)=3(y−1) will be ; y = 2

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

(b) A restaurant bill that comes to €200 is
to be divided equally among a group of
people. However, three people leave before
the bill is settled and the remainder of the
group have to pay an extra €15 each.
How many people were originally in the
group?

Answers

Answer:

it might be 13/3 or just 13

Step-by-step explanation:

try doing 200 divided by 15

Solve x÷2<4. Graph the solution.

Answers

Answer:

The solutions are (-2, 0) and (1, 3).

Step-by-step explanation:

Edginuity Sample response: The graph consists of a parabola and a line. The parabola opens down and has a vertex of (0, 4). The line has a slope of 1 and a y-intercept of 2. We want to solve

-x² + 4 = x + 2

Create two curves as follows:

y = -x² +4

and

y = x + 2

By graphing the two curves together, their points of intersection are the solutions.

y = -x² + 4 is a parabola with vertex at (0, 4), and it opens downward.

y = x + 2  is a straight line with slope - 1 and with y-intercept = 2

The points of intersection are (-2, 0) and (1, 3).


Jalene learned a total of 6 appetizer recipes over the course of 2 weeks of points
culinary school. After how many weeks of culinary school will Jalene know
a total of 15 appetizer recipes?

Answers

Answer:

The answer is 4 and a 1/2 weeks

Answer:

4 1/2

Step-by-step explanation:

Please help meee with number ten plzzzzzz!!!!

Answers

Answer:

b=30

Step-by-step explanation:

Answer:

b = 30

I hope this helps!

Noel's age in 8 years will be three times as old as it was 2 years ago. How old is Noel now?

Answers

Answer:

6

Step-by-step explanation:

let Noel's age be x

if Noel's age in 8 years will be three+times as old as it was 2 years ago:

x%2B8=3%28x-2%29

x%2B8=3x-6

6%2B8=3x-x

2x=14

x=7

Noel is 7 years old now

What perfect square falls between 177 and 217?

Answers

Answer:

Step-by-step explanation:

196 = 14 x 14

Which inequality describes all the solutions to 4(3 - x) < -2x + 8? please help!

Answers

Answer:

X > 2

Step-by-step explanation:

yo simple question what would _ x _ = 144 if you squared 144

Answers

Answer:

12

Step-by-step explanation:

I just looked at this way 12 * 12 = 144.

Which decimal is greater than 3.18?


A) 3.08

B) 3.32

C) 3.12

D) 2.88

Answers

Answer:

hello

3.32 > 3.18

Step-by-step explanation:

i need help with this answer it says 6x = 30.

Answers

Answer:

x = 5

Step-by-step explanation:

30 divided by 6 equals x

30/6 = 5

so x = 5

Answer:

X= 5

Step-by-step explanation:

6x=30

or, x=30/6
Therefore, x=5

Find x
Somebody please help me

Answers

Answer:

x=106

Step-by-step explanation:

I stitched a photo on how i got to my answer.

What is the solution to the system of linear equations?

2x + y = 7

x - 2y = 16

Answers

Answer:

Step-by-step explanation:

Reform the first equation: y = 7 - 2x; y = -2x + 7Reform the second equation: -2y = -x + 16; y = 0.5x + 8Equate: -2x + 7 = 0.5x + 8; -4x + 14 = x + 16; -3x + 14 = 16; -3x = 2; x = -[tex]\frac{2}{3}[/tex]Calculate y: y = -2 * - 2/3 + 7 = 4/3 + 7; y = [tex]\frac{25}{3}[/tex]Define S([tex]-\frac{2}{3} ; \frac{25}{3}[/tex])

Cuanto es 96705 dividido 89

Answers

Answer:

hui

Step-by-step explanation:

what is the slope of the line

Answers

Answer:

-1/3.

Step-by-step explanation:

The line passes by the points (-4,1) and (2,-1). The slope is:

(-1-1)/(2-(-4))=(-2)/6=-1/3

If two sides in one triangle are 9 and 21 , then the third side might be
a) 9
b) 11
c) 12
d) 13
please explain how you got the answer in details I'm completely lost

Answers

Answer:

13

Step-by-step explanation:

there is a rule that says that if you add any 2 sides, it should be more than the third. 9+21 is greater than 13. 21+13 is greater than 9. 13 is the only number which if you add 9 to it it will be greater than 21. 12 will equal 21, but it still wont work.

hope this helps :))

PLS HELP !!!











have a good day B)

Answers

Answer:

it is a wild flamenco

Step-by-step explanation:

How is multiplying two binomials the same as multiplying two complex
numbers? How is it different?

Answers

Answer:

the process of multiplying these two complex numbers is very similar to multiplying two binomials! Multiply each term in the first number by each term in the second number.

Step-by-step explanation:

there

Solve the systems of inequalities:

Answers

Step-by-step explanation:

Add the equations to eliminate q

5p-3q<0

3p+3q<24

8p<24

p< 3

Plug in value of p to an equation

3(3)+3q<24

3q<24-9

q< 5

solve for
7c+5=9(c−3)

Answers

Answer:

c = 16

Step-by-step explanation:

First, distribute the 9 to the parentheses:

7c + 5 = 9(c − 3)

7c + 5 = 9c - 27

Then, subtract 7c from both sides:

5 = 2c - 27

Add 27 to both sides:

32 = 2c

Divide each side by 2:

16 = c

So, c = 16

Given a geometric sequence with a1=5 and a4=135 find a2.

Answers

Answer:

  15

Step-by-step explanation:

Terms in a geometric series that are n apart will have a ratio that is r^n. Here we have terms a4 and a1, which are 4-1=3 apart, so their ratio is ...

  a4/a1 = 135/5 = 27 = r^3

  r = ∛27 = 3

The second term is the first, multiplied by this common ratio:

  a2 = a1·r = 3(5)

  a2 = 15

please help please help​

Answers

Answer:

răspuns corect 2

Step-by-step explanation:

dami coroana te rog

Ill give brainliest. Please help.

Answers

Answers are

A: 16.09 %

B: 0.65

C: Those who like Hamburgers but not burritos.

Step-by-step explanation:

                        Like Hamburgers ↓  Does Not Like Hamburgers↓    Total↓

Likes burritos →                 39                           38                                   77

Does not like burritos →    95                          33                                128

Total →                                134                           71                                 205

So, according to the above table, a total of 77 customers like burritos, out of which 38 do not like hamburgers, hence, the remaining 39 like Hamburgers.A total of 128 customers do not like burritos, out of which 95 do like hamburgers, hence, the remaining 33 do not like Hamburgers.A total of 134 customers like hamburgers, but 71 do not like it, hence, the total respondents are 205.

Part A: The percent of respondents who do not like hamburgers and burritos both

There are 33 such respondents.  

Hence, percentage  33/205 * 100 = 16.09%

Part B: Marginal relative frequency of all customers that like hamburgers

It will be the ratio of the sum of the customers that like hamburgers to the total number of respondents

Hence, ratio  134/205 = 0.65

Part C: The data point that has the strongest association of its two factors.

For this, we need to find the ratio of all the four data with the total.

Those who like Hamburgers and burritos: 39/134 = 0.29

Those who like Hamburgers but not burritos: 95/134 = 0.71

Those who like burritos but not Hamburgers: 38/71 = 0.53

Those who do not like burritos or Hamburgers: 33/71 = 0.47

So, the answer is those who like Hamburgers but not burritos.

What is the answer to this quadratic equation: 6x² + 11x – 35

Answers

Answer:

Step-by-step explanation:

This thing looks like you have to use the quadratic equation to solve it. You don't. It will factor. but you might have to guess a bit.

(3x       )(2x      )

(3x - 5 ) (2x + 7)                       How lucky is that!!?

Remove the Brackets

3x * 2x + 3x*7 - 5*2x - 35       Combine

2x*3x^2 + 21x - 10x - 35            

6x^2 + 11x - 35

So the guess turns out to be correct. Now we need to solve for the roots.

3x - 5  = 0                             Add 5 to both sides.

3x = 5                                   Divide by 3

x = 5/3

x = 1.6667

2x + 7 = 0                            Subtract 7 from both sides

2x = - 7                                Divide by 2

2x/2 = - 7/2

x = - 3.5

Answer

x = 1.667 orx = - 3.5

I'm having some problems with my work, could some work

Answers

Answer:

Sorry but I can't understand what you are trying to say...

Find the area of each figure shown. Use the key. Round to the nearest tenth, if necessary.

Answers

Answer:

To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.

Step-by-step explanation:

Find the difference: 0.350 - 0.028
Pls?

Answers

Answer:

0.322

Step-by-step explanation:

0.350 - 0.028

The answer would be 0.322

Hope this helps

The local furniture store pays $120 for a lamp and sells it with a 20% markdown. What is the
selling price of the lamp?

Answers

Answer:$24

Step-by-step explanation:

To find 20 percent of a number you multiply the number by 20, then multiply the answer by .01.

120 x 20 = 2400

2400 x .01 = 24

Answer: I think its 24 tell me if I'm wrong

20 divided by 100 gives you 0.2

0.2x120 gives you 24

Find the difference. Write your answer in simplest form:

4 7/9 -2 2/3

Answers

2 1/9 is the answer

the latex didn't workk

Answer:

i think the answer is 2.11

Step-by-step explanation:

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