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:

y = - 3x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, - 7) and (x₂, y₂ ) = (2, - 10) ← 2 ordered pairs from the table

m = [tex]\frac{-10+7}{2-1}[/tex] = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute any ordered pair into the partial equation

Using (2, - 10) , then

- 10 = - 6 + c ⇒ c = - 10 + 6 = - 4

y = - 3x - 4 ← equation of linear function


Related Questions

-Ready
Strategies to Add and Subt
What is the sum? Complete the equation.
-7+ (-40)
=

Answers

Answer:

-47, i think

Step-by-step explanation:

whenever i think of doing stuff with a bunch of signs just remember that a negative and a positive cancel out to be just a negative so the equation is really just -7-40.

William bought 6 apples for $1.98. How much will 20 apples cost?

Answers

Answer:

If 6 apples cost $1.98 then 20 apples cost

Step-by-step explanation:

First you want to find the unit rate so divide both numbers

so the answer is 3

Answer:

$6.60

Step-by-step explanation:

6 apples=$1.98

So, 6 times 3= 18 apples

That means you also have too multiply the price by 3 and 1.98 times 3=5.94

now you have 18 of the 20 apples

for the last two, simply divide 1.98 by three which= $.66

then add $.66 to $5.94 and get $6.60

A certain forest covers an area of 2700. Suppose that each year this area decreases 6%. What will the area be in 9 years.

Answers

Answer:

1547.085966 (rounded to the nearest whole number) - 1547

Step-by-step explanation:

Use the exponential decay formula

y = a (1 - b)^x

y =2700(1 - 0.06)^9

y = 1547.085966 ~ 1547

Please I need help with this

Answers

Answer:

$660.60

Step-by-step explanation:

55.05x12

Annual means yearly and a year is 12 months.

Answer:

B) 24470.36

I don't know A)

sorry

5 more than a number y is negative 2
write the word sentence in a equation.

Answers

Answer:

  5 + y = -2

Step-by-step explanation:

To get 5 more than a number, you need to add 5 to the number. Then "5 more than y" is "5+y" or "y+5".

In math, "is" means "is equal to."

5 more than a number y is negative 2 means ...

  5+y = -2

Answer:

[tex]5 + y = ( - 2)[/tex]

Step-by-step explanation:

Five more than a number means,

[tex]5 + y \: \: \: \: or \: \: \: \: y + 5[/tex]

is means equal to.

[tex] = [/tex]

is negative 2

[tex] = - 2[/tex]

Now let's create the equation,

5 more than a number y is negative 2

[tex]5 + y = (- 2)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

ANSWER ASAP!!









remember to show work​

Answers

Answer:

1. 7x+5y=19    

(+)-7x-2y=-16       step one

____________

[tex]\frac{3y}{3\\}[/tex]=[tex]\frac{3}{3}[/tex]                   step two

y=1

____________

since you have the value of y u can plug it in in either of the equations.

7x+5(1)=19        step three

____________

7x+5-5=19-5     step four

____________

[tex]\frac{7x}{7}[/tex]=[tex]\frac{14}{7}[/tex]

x=2                     step five

____________

You can check whether the answers are correct by plugging them back in.

7(2)+5(1)=19

14+5=19

19 equals 19 so it checks.

You can do the same thing for the rest.

The line graph shows the number of marks Stacey scored in her homework. What are the mode, median and mean scores?

Answers

Answer:

Modal:1

Median:2

Mean:2

HELP ASAP!! THE DEAL IS YOU WILL BE BRAINLIEST
Which part of the algebraic expression 7a - 4 is the constant?

7 a-4
4
7 a
7

Answers

Answer:

4

Step-by-step explanation:

The constant in an algebraic expression is the term that is not changeable and does not include any variables. Therefore, the constant in the expression of 7a -4 is 4. As 4 does not have any variables nor is it changeable.

Sixty percent of the people surveyed use sunscreen. A random number generator was used to simulate the results of asking the next three people. The numbers 0–5 represent people who use sunscreen, and the numbers 6–9 represent people who do not use sunscreen. What is the probability that two of the next three respondents use sunscreen?

275 738
419 582
987 436
578 472
178 839

A. P(sunscreen) =210

B. P(sunscreen) = 510

C. P(sunscreen) =610

D. P(sunscreen) =910

Answers

Answer

B

Step-by-step explanation:

i already did this

Answer:

B

Step-by-step explanation:

The probability of a particular manufactured product being defective is 1/100. How many defective products would be expected in a random sample of 1,500 products?

Answers

Answer:

15

Step-by-step explanation:

Just divide 1500 by 100

To solve this we need to make a proportion

[tex] \dfrac{1}{100} = \dfrac{x}{1500} \\ x = \dfrac{1 \times 1500}{100} \\ x = 15 \%[/tex]

Answer: 15%

Please answer immediately!!!!!!!!
In how many ways can you make a tower using three blue blocks and two red blocks? Make a “tree” and draw a picture of the towers.

Answers

Answer:

For tree see picture but instead of BG replace all values with RRBBB and see the notes above how to roate the colours instead of the shape roation below just do transition (0,0)(1,0) (1,1).

Then 13 colours minimum change.

This will be 3 + 5 + 4 each colour change = 12 each colour change. instead of doing the 56 each colour rotation below.

Step-by-step explanation:

make 4 bits of paper and label each side -1 and 1 and central 0

above central point vertically label 1 and -1 for transition.

Then change just top one 4x = 4 more

Do the same with 2nd from top = 8 more to include top changing 4x again.

Do the same with 2nd from bottom = 12 more

Do the same with bottom = 16 more.

4+8+12+16 =40

Then repeat the process on side for blocks and we can double up

40+40 = 80.

When drawing tree clearly state columns

Top two are red only change

Top of tree will read in order so where ever you see capital R you will know its a new column for the tree and fill in when you understand the 254 transitions of a 5 column tree. Then change B + R accordingly when you get to row 6. Here you just start changing blue back to the top after row 5

Columns go down and rows go across its a new row you will need

approx 5-6 rows each colour change.

For the ones started for you below its just transition and colour stays where it is.  

R x    RT 45d   RT (1,0) 45   RT (1,1) 45  RT (1,0)

R x    R x

B x    B x

B x    B x

B x    B x

'x' = RED Normal as you keep 0 zero central on all 4 bricks and work with top row as explained below.

Top RED  brick you have to Right side place transition on every 2nd column for each colour and thenyou should find a pattern if youve numbered your papers or brcks to just see how it works. (hanging out one side call this 'off set' or call it T for transition (1.0)

RED Central 'diagonal' call it  '45 degree rotate'

E ABCD RED Normal edge transition its edge so it hangs out

E ABCD RED On edge 45 degree diagonal its edge so it hangs out

2nd only change

S ABCD 1st red normal 2nd red Right side place rotate

S ABCD 1st red right side rotate 2nd red 45 degree rotate

S ABCD 1st red right side rotate 2nd central place 45 degree rotate  

S ABCD 1st red right side rotate 2nd edge Normal edge transition

S ABCD 1st red right side rotate 2nd 45 degree its edge diagonal

2nd is repeated by changing 1st 4x more in bold. see what is now missing for 1st red. and copy the 2nd changes to 1st all whilst rotaing 2nd again in change .

Copy paste the work

Then apply this to 3 + 4 + 5th brick.

As the above shows 10 and when you finish 2nd and 1st it will be 14 total

Then 3 will be 14 again

and 4th brick will be 14 again

and 5th brick will be 14 again

making the transitions and rotations where all bricks in same level placement

14 x 4 = 56 transitions/rotations

Then repeat again for 1 blue at the top change

Then repeat again for 2 blue at the top for change

Then repeat again for 2 blue in the top middle

Then repeat again for 2 blue in the bottom middle

You can label tree

RR = Red rotation

BR = Blue rotation

RRE= Red rotation edge

BRE = Blue rotation

and colour code blue and red pens.

You can label transitions

RT = red transition (1,0)

RT = red transition (1,1) for central

and same for blue etc..

The end result will be 56 x 4 = 224 diagram tree

On ce you learn this it will take just 6 minutes to write out.

Three lines meet at a point. In a complete sentence, describe the relevant angle relationship in the diagram.
Set up and solve an equation to find the value of a

Solution:​

Answers

Answer:

Problem:

180-144=36

36/2=18

A=18

Step-by-step explanation:

The full area of half of a circle is equal to 180 degrees. To find the missing value of both A's you must take the full degrees of 180 and subtract 144 from 180. Next you have to take the remaining number and divide it by two because both of the missing value's are equivalent.

Samantha is solving the following system of equations using the method of substitution: 3x + 2y = 11 - x + y = 3 The following are Samantha's first two steps. y= x + 3 3x + 2(x+3) =11 HINT: Solve the bottom equation for x and then plug that value back into the first equation to solve for y. Arrange the steps below to match the order you used to do this.

Place each of the remaining steps in the appropriate order to finish solving the system of equations.

1 5x =5
2 (1,4)
3 y=4
4 x=1
5 3x + 2x + 6 = 11
6 5x + 6 = 11
7 y= 1 + 3

Which ordered pair is the solution to the system of linear equations displayed on the graph below?

HINT: The solution is the point where the two lines intersect. What is the x coordinate and y coordinate at that point of intersection?

A:[tex](0,-\frac{3}{2} )[/tex]
B:[tex](-\frac{3}{2},0)[/tex]
C:[tex](0,\frac{3}{2}[/tex]

Which of the following inequalities can be represented by the graph below?

HINT: Can you find the equation for the boundary line? What is its y-intercept? What is its slope? Note that the region above the line is shaded.

A:[tex]y\geq2x-2[/tex]
B:[tex]y\geq \frac{1}{2}x-2[/tex]
C:[tex]y\geq \frac{1}{2}x +2[/tex]

Answers

Answer:

According to the numbers provided, the sequence is:

5, 6, 1, 4, 7, 3, 2

Solution of the two lines intersecting in the graph is answer B

The inequality that represents the graph is that of answer A

Step-by-step explanation:

First problem:

This is the sequence to solve for "x" once the substitution was made;

[tex]3x +2\,(x+3)=11\\3x+2x+6=11\\5x+6=11\\5x=11-6\\5x=5\\x=1\\[/tex]

Now that we know x, we use its value (1) in the substitution equation in order to find "y" and complete the ordered pair:

[tex]y=x+3\\y=1+3\\y=4[/tex]

Then the solution pair (x, y) is: (1, 4)

Therefore, according to the numbers provided in the list of possible steps, the order is:

5, 6, 1, 4, 7, 3, 2

Second problem:

The solution to the system is where the two lines two lines intersect: "the point -1.5 on the x axis. Notice that -1.5 can be written in fraction form as -3/2, this is the x-coordinate of the intersection point. The y-coordinate is y-0 since the point is on the x-axis. Therefore the point is (-3/2, 0) which is given by answer B).

Third problem: The boundary line seems to go through the points: (-4, -10) and (0, -2), so we can calculate the slope via the equation:

[tex]slope=\frac{y_2-y_1}{x_2-x_1} \\slope=\frac{-2-(-10)}{0-(-4)}\\slope=\frac{8}{4}\\slope=2[/tex]

since the line's y-intercept is (0, -2), then the equation of the boundary line in slope-intercept is:

[tex]y=2x-2[/tex]

Since the shaded region includes the boundary line and the zone above it (with y-values larger than or equal to those point in the line), we can say that the inequality that represents this graph is:

[tex]y\geq 2x-2[/tex]

which corresponds to answer A

Answer: A

Step-by-step explanation: use the formula

Find the missing factor.
2n^2(n - 3) - 4(n - 3) = ( ) (n - 3)

Answers

Hey!!!!

Here's your answer

The missing factor is (2n^2-4)

Hope it helps.

Good luck on your assignment

dana bought 50 raffle tickets. if 300 were sold what is the probability that dana does not win the raffle

Answers

Answer:

5/6

Step-by-step explanation:

What is the volume of a rectangular prism with a length of 14 m, height of 6
m, and width of 3 m?

Answers

Answer:

252m^3

Step-by-step explanation:

Multiply all the numbers.

Answer:

252

Step-by-step explanation:

14 times 6 times 3=252

Use same image
Select an equation to find the value of x.

(x+12)=3x


(x+12)+3x=90


(x+12)−3x=180


(x+12)+3x=180


then
tell me where the angles go on the image.
126° left or right 56° left or right

Answers

Answer:

[tex](x + 12) + 3x = 180[/tex]

Step-by-step explanation:

4x=168

x=42 left

x+12=54

3x=126 right

Answer:

(x+12)+3x=180

Step-by-step explanation:

Hope it helps you in your learning process

(x+12)+3x=180. (straight line angles)

4x + 12 = 180

4x = 180 - 12

4x = 168

x = 168/4

x = 42°

One square tile on your kitchen floor is 11.25 inches long. It takes 12.5 tiles to cover
the length of the floor. About how long is the floor?

1.25 inches
23.75 inches
132.125 inches
140.63 inches

Answers

Answer:140.63

Step-by-step explanation:

11.25 x 12.5= 140.625

pls help will mark as brainliest

Answers

Answer:

4

Step-by-step explanation:

In the equation y=mx+b

b is the the value of y in the y-intercept

so change 2x+3y=12 into y=mx+b (Subtract 2x from both sides)

so 3y+2x-2x=12-2x

so 3y=-2x+12 (divide by 3)

y=-2/3x+4 so

(0,4) or

4

write an expression for the product of 5 and 7 increased by 4​

Answers

Answer:

(5(7)) + 4

Step-by-step explanation:

It shows in the parentheses it is 35 + 4  = 39

How many kilometers are in 3, 250 centimeters?

Answers

there are 0.0325 kilometers in 3,250 centimeters

Answer:

None

Step-by-step explanation:

There are 100cm to a meter, you have 3250cm giving you 32.5m, a km is 1000m so ther are no kilometers with 3250 cm. Not even close

The lowest recorded temperature in Wisconsin is -55° F on February 4, 1966.
The next day was 41 degrees warmer. What was the temperature on February
5th, 1966 us Wisconsin?

Answers

Answer: -14°F

Step-by-step explanation:

(0-55) + 41

(^For phone calculator)

If someone can do both I’d appreciate it! I’ve been up for awhile trying to fingers these out.

Answers

Answer:

3. AGH= 150

4. CHF= 110

Step-by-step explanation:

3. AGH corresponds to CHF, so they equal the same. AGH = 150

4. BGE is vertical to AGH, so they equal the same AGH = 110. AGH corresponds to CHF, so they equal the same. CHF=110.

Answer:

3. 150. 4. 110

Step-by-step explanation:

This should be right.

What is the value of the expression m2 + 3m when m = 4?
A. 15
B. 18
C. 20
D. 28

Answers

[tex]\text{Solve by plugging 4 to m:}\\\\(4)^2+3(4)\\\\16+3(4)\\\\16+12\\\\28\\\\\boxed{\text{D). 28}}[/tex]

The value of the expression [tex]m^{2} + 3m[/tex] when m =4 is 21.

What is expression?

An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.

What is substitution?

The process of swapping an algebraic letter for its value is called substitution.

According to the given question we have

An expression

[tex]m^{2} +3m[/tex]

We have to find the value of given expression when m =4, for this substitute the m =4 in the expression [tex]m^{2} + 3m[/tex]

⇒ [tex](3)^{2} + 3(4)[/tex]

⇒ 9 + 12 = 21

Hence, the value of [tex]m^{2} + 3m[/tex] when m =4 is 21.

Learn more about the expression and substitution here:

https://brainly.com/question/14619835

#SPJ2

the diagram shows the position of the ship(S) and the marine base(B) the scale of the diagram is 1cm represents 10km.
a)work out the real distance between the ship and the base.
b) Measure the bearing of B from S

Answers

Answer:

a) 35km

b) 070 degrees

C) Check the photo to see what I did

Step-by-step explanation:

To get full marks look at what I did for question (c)

You have to use a protractor on letter s and make sure the 0 on the protractor is facing the letter (N). Now check where 90 degrees is and draw a line straight by using the ruler then use the compass as u can see in the photo, where (x) point is on the end of the compass is your answer {make sure the compass is 2cm which means its 20km. Also make sure to align the compass on the line you drawn}

Thank you

The real distance between the ship and the base is 35 km and the measure of the bearing of B from S is 70 degrees.

How to find the scale factor?

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

The diagram shows the position of the ship(S) and the marine base(B). The image of the ship is attached below.

a) Real distance between the ship and the base

When the distance of the attached image from ship and the base is measured by rules. It comes out 3.5 cm.

The scale of the diagram is 1 cm, represents 10 km. Thus, the real distance is,

[tex]BS=\dfrac{10}{1}\times3.5\\BS=35\rm\; km[/tex]

b) Measure the bearing of B from S

With the help of compass, the bearing angle of B from S is measured as,

[tex]\angle BSN=70^o[/tex]

Thus, the real distance between the ship and the base is 35 km and the measure of the bearing of B from S is 70 degrees.

Learn more about the scale factor here;

https://brainly.com/question/10253650

Let f(x) = 3x - 5. g(x) = f(x + 4) and h(x) = g(–3x). What are the slope and y-intercept of the graph of function h?

Answers

Answer:

Slope is  - 9, y-intercept is 7.

Step-by-step explanation:

f(x) = 3x - 5

g(x) = f(x+4) = 3(x+4) - 5= 3x + 12 - 5 = 3x + 7

h(x) = 3( - 3x) + 7 = - 9x + 7

h(x) = - 9x + 7

Slope of h(x) is  - 9, y-intercept is 7.

dan got 45 out of 72 correct in his test what fraction of marks did he get wrong? give your answer in its simplest for

Answers

Answer:

3/8

Step-by-step explanation:

72-45 gives 27 which is how many marks missed 27 and 72 both go into nine which is the highest common factor. 27/9=3 72/9=8 so its 3/8

Answer:

Step-by-step explanation:

(72-45)/72 = 27/72 = 3/8

need help pleasse!!!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

Answer: the answer is i

A necklace is made of 12 red beads and 18 orange beads. How many red beads would be needed to make the same necklace with 90 orange beads

Answers

60 Red Beads is the Answee

Answer:

i would take 60 red beads.

Step-by-step explanation:

90 / 18 = 5

5 x 12 = 60 red beads

Factor completely:
49h^2 - 28hk + k^2

Answers

Answer:

49h^2 - k (28h - k)

Step-by-step explanation:

49h^2 - 28hk + k^2

49h^2 - k (28h - k)

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This means that governments or other institutions shouldnt be able to take their lives from them.Freedom-People everywhere should have the right to be free. This means that they should not be imprisoned by their government without a good reason. Slavery also denies people the right to freedom.Voting- All people should have the right to choose the leaders of their country. They should have a say in how their country is run.Well-being- No one should have to live in poverty. All people should have the right to food, shelter, clean water, and medical care.Education- People everywhere should be able to get an education. They should be able to read and write, and they should have opportunities to go to college.