what linear equation in slope intercept from does this graph represent?​

What Linear Equation In Slope Intercept From Does This Graph Represent?

Answers

Answer 1

Answer:

[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]

Step-by-step explanation:

The equation of a line is [tex]y = mx + b[/tex], with [tex]m[/tex] being the slope and [tex]b[/tex] being the y-intercept.

We can see on the graph that the y-intercept, where the line crosses or touches the y-axis, is 100. So, our new equation is [tex]y = mx + 100[/tex].

Now we have to find the slope. Let's pick a point that's clearly on the graph. Perhaps (3, 150). And then we'll take the y-intercept point for convenience, (0, 100).

Then, we'll use [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} }[/tex] to find the slope.

Let's substitute in our points.

[tex]\frac{150-100}{3-0}[/tex]

Simplify.

[tex]\frac{50}{3}[/tex]

Now, we can leave the slope like that or turn it into a mixed number. As a mixed number, your slope is [tex]16\frac{2}{3}[/tex].

We'll put that in our equation for a line and...bam!

[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]


Related Questions

you will have amazing luck if you help me out trust

Answers

Answer:

x=29

Step-by-step explanation:

5x+30=175 because they are congruent

5x=145

x=29

Which sequence of transformations takes A to its image A'?
A. a translation 1 unit down followed by a reflection in the x-axis
B. a reflection in the x-axis, followed by a translation 1 unit down
C. a translation 3 units to the left, followed by a clockwise rotation 180 about the origin
D. a reflection in the y-axis, followed by a clockwise rotation 180 about the origin

Answers

Answer:

a

Step-by-step explanation:

hope this help mark me brainlist plz

The correct sequence of transformations takes A to its image A' is,

⇒ A translation 1 unit down followed by a reflection in the x-axis.

What is mean by Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

We have to given that;

The sequence of transformations takes A to its image A'.

Now, We have;

The coordinate of A are (4, 5)

And, The coordinate of A' are (4, - 4)

Hence, The correct sequence of transformations takes A to its image A' is,

⇒ A translation 1 unit down followed by a reflection in the x-axis.

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50 POINTS PLEASE HELP!!!!!!!!!!!!!
On average, Carter can get ready in 25 minutes but, depending on the day, his time can vary from the average by 15 minutes. Which absolute value equation can be used to calculate Carter's maximum and minimum time to get ready? Let x represent the maximum and minimum time.


|x−15|=25

|x+15|=25

|x+25|=15

|x−25|=15

Answers

Answer:

i thinking a or d

Step-by-step explanation:

The absolute value equation is |x+15|=25. Therefore, option B is the correct answer.

What is a absolute value equation?

To solve an equation containing absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations.

Given that, on average, Carter can get ready in 25 minutes but, depending on the day, his time can vary from the average by 15 minutes.

Let x represent the maximum and minimum time.

So, the absolute value equation is |x+15|=25

Therefore, option B is the correct answer.

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A juice shop needed 360 oranges to make 40 L of fresh-squeezed juice.

How many oranges would be needed to make 60 L of fresh-squeezed juice?


380 oranges

400 oranges

460 oranges

540 oranges

Answers

Answer:

Using direct proportion

40L was made from 360 oranges

1 L will have been made from (360/40) oranges = 9 oranges

60L will then be made from :     60 * 9 oranges = 540 oranges.

D.

Step-by-step explanation:

Answer:

D. 540

Step-by-step explanation:

you buy 1 balloon and 1 banner for $4. your friend buys 3 balloons and 2 banners for $9.

each ballon costs: ?
each banner costs: ?

Answers

Answer:

each balloon costs 1$ and each banner costs 3$

Step-by-step explanation:

The costs of each balloon and banner are $1 and $3 respectively.

What is a system of equations?

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Given that, you buy 1 balloon and 1 banner for $4. your friend buys 3 balloons and 2 banners for $9.

Let x represents balloons and y represents banners.

Establishing the equations,

x+y = 4

x = 4 - y......(i)

3x + 2y = 9...(ii)

Put eq(i) in eq(ii)

3(4 - y) + 2y = 9

12 - 3y + 2y = 9

y = 3

Put y = 3 in eq(i)

x = 4-3

x = 1

Hence, the costs of each balloon and banner are $1 and $3 respectively.

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A recipe asks for 2 1/3 cups cup of flour.
How many cups of flour are needed for 3 1/2 recipes​

Answers

Answer:

8.17  sorry if its wrong

Step-by-step explanation:

Solve to find X. 3 ≥ -3x

Answers

Answer:

-1 ≤ x

Step-by-step explanation:

You just need to divide -3 on both sides.

-1 ≤ x

Note that since you are dividing by a negative number, the sign flips.

-1 ≤ x

Step-by-step explanation:

First start with the equation:

3 ≥ -3x

divide by -3 to get x positive and singular:

-1 ≥ x

and since we divided by a negative we need to flip the sign:

-1 ≤ x  would be your answer

hope this helped :)

johnathan is rolling 2 dice and needs to roll an 11 to win the game he is playing.what is the probability that johnathan wins the game?

Answers

Answer: Hope this helps, I think I did the right math if not I'm sorry

2/6 x 1/6 = 1/18

Step-by-step explanation:

2x2 + 8x - 7 = 0
How to solve

Answers

x =(8-√120)/4=2-1/2√ 30 = -0.739

Step-by-step explanation: calculator

Answer:

2 x 2 +8x -7= 0

4+8x-7=0

-3+8x=0

8x=0+3

8x/8=3/8

x=3/8

x=0.375

Step-by-step explanation:

1.Multiply 2x2 to get 4

2.Calculate the difference between 4-7

3.Move the constant to the right side

4.Divide both sides of the equation by 8

can someone help me out?

Answers

First you have to solve for x. X=32.
5*32-12=148
148=(3y-8).
y=52

Answer:

y is equal to nine and two thirds, or 9.666...

Step-by-step explanation:

To solve this, we first need to know the value of x.  We can see though that x + (x - 12) is equal to 180 degrees, so:

x + 5x - 12 = 180

6x = 192

x = 32

Now that we have x, we can use the same rule to solve for y:

3y - 8 = x

3y - 8 = 32

3y = 40

y = 40 / 3

So y = 40/3, or 9 and 2/3

Bonus:

I almost wonder if the question was printed incorrectly, as the answer would have been a nice tidy integer if the other corner was 3y + 8 instead of 3y - 8.

If that were the case we'd have:

3y + 8 = 32

3y = 24

y = 8

A nice clean answer

To be clear, this last bit is NOT the correct answer, just an observation. If the book tells you that eight is the answer, then the question is misprinted.

In a pet store, the small fishbowl holds up to 23
gallons of water. The large fishbowl holds up to 2
times as much water as the small fishbowl.
Eloise draws this model to represent the number of
gallons of water the large fishbowl will hold.
How many gallons of water does the large fishbowl
hold?
Enter your answer as a mixed number in simplost
form by filling in the boxos.
aal

Answers

Answer: the large fishbowl hold up to 46 gallons of water

Step-by-step explanation:

Answer: the large fishbowl hold up to 46 gallons of water

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question not used

Answers

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Ricardo ran four miles in 31 minutes. It took him 6.25 minutes to run the first mile. Ricardo ran the remaining miles at a slow and steady speed. How long did it take him to run each of the last three miles?​

Answers

Answer:

8.25 minutes

Step-by-step explanation:

31 minutes-6.25 minutes=24.75 remaining miutes between the last 3 miles so then you take 24.75 minutes÷ 3 miles remaining= 8.25 minutes each last 3 miles

Can someone help me out with this problem?

Answers

Answer:

[tex] \frac{1}{2} \: cup \: for \: each \: dumpling \\ 10 \: cups \: for \: \frac{ \frac{10}{1} }{ \frac{1}{2} } = 20 \: dumplings[/tex]

20 dumplings can be made by Luke.

How do you multiply monomials with the same base?​

Answers

9514 1404 393

Answer:

  multiply their coefficients, use the base with the sum of exponents

Step-by-step explanation:

The coefficients multiply. The base gets an exponent that is the sum of the exponents of the factors.

  (a·x^b)(c·x^d) = ac·x^(b+d)

_____

If you remember that an exponent is simply an indicator of the number of times the base is a factor, this should be fairly clear. The usual associative and commutative properties of multiplication apply.

Example

  5x^2 · 7x^3= 5·x·x·7·x·x·x

  = 5·7·x·x·x·x·x

  = (5·7)(x^(2+3))

  = 35x^5

Peter has 36 shirts in his closet, 2/9 of the shirts are striped. If the remaining shirts
are solid, how many shirts is that? What fraction of Peters shirts are solid?

Answers

Answer:

28 shirts are sold

7/9 of the shirts are sold

Step-by-step explanation:

hope this helps <3

Please help me with these questions FAST it's formal and I can't faillllllll!!!!!!,

Answers

A. I think it would be -40/297

Jane ran 15.2 miles she ran 6.7 miles on Saturday how many miles did she run on Sunday

Answers

Answer:

8.5

Step-by-step explanation

15.2 - 6.7 = 8.5

And She Ran 15.2 Miles IN ALL.

6051 was rounded to the nearest one. What is the lower bond ?

Answers

Answer:

6050.5

Step-by-step explanation:

The key to this is "rounded to the nearest one"

If the question was to say "round to the nearest 10" you would do 10÷2 = 5

Always divide by 2

1 ÷2 = 0.5

6051 - 0.5 = 6050.5

If it was upper bond it would be:

6051 + 0 5 = 6051.5

How to Rewrite the expression 4(13-10) using distributive property of multiplication over subtraction

Answers

Answer:

52-40

Step-by-step explanation:

distribute 4 to 13 and 10

put the subtraction sign back in

Thirteen more than three times a number is 25.

Answers

Answer:

x = 4

Step-by-step explanation:

Equation: 3x + 13 = 25

Step 1: Subtract 13 from both sides.

3x + 13 = 25

     - 13   - 13

      3x = 12

Step 2: Divide both sides by 3.

3x   =  12

3     =   3

 x = 4

Kaden, Keith, and Kipp compete in a series of daily 3-way races. For each race, the probability that Kaden wins is 1/6, the probability that Keith wins is 1/2, and the probability that Kipp wins is 1/3. On a day that Kaden doesn't win, what is the probability that Keith beats Kipp?​

Answers

9514 1404 393

Answer:

  3/5

Step-by-step explanation:

Let a, b, c represent the probability of a win by Kaden, Keith, and Kipp, respectively.

  P(bc' | a') = P(a'bc')/P(a')

  P(bc' | a') = (1/2)/(1 -1/6) = (3/6)/(5/6) = 3/5

The probability is 3/5 that Keith beats Kipp when Kaden doesn't win.

PLEASE ANSWER ASASP!
4(c -3) = 8
what is c?

Answers

Answer:

c=5

hope it helps....,

Answer: c=5

Step-by-step explanation:

4(c -3) = 8

4c - 12 =8

4c = 20

c = 5

Look at pic and pls halp

Answers

70° because the angle between jk is 110 after subtracting 70 from 180. For angle 1, subtract 110 from 180 to get 70


What is the slope of a line that is perpendicular to the line in the graph?

Answers

Answer:

The slope of the required line is 1

Step-by-step explanation:

The Slope of a Line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

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

The graph shows a line whose slope can be calculated by selecting two points it goes through. Let's pick points (0,0) and (2,-2). Thus the slope is:

[tex]\displaystyle m=\frac{-2-0}{2-0}=-1[/tex]

The slope (m') of a line that is perpendicular to the line in the graph can be found by using the equation:

m*m'=-1

Solving for m':

[tex]m'=-\frac{1}{m}=-\frac{1}{-1}=1[/tex]

Thus the slope of the required line is 1

What is the total area of the shaded region? Type just the answer in the blank. ​

Answers

Answer:

240cm

Step-by-step explanation:

6cm*14cm= 84cm

6*6=36

84+36=120*2=240

Answer:

7cm x 8cm

Step-by-step explanation:

The 14cm x 12cm box (top 'box 1') intersects with the 14cm x 12cm box (bottom 'box 2').

Half the values of each side are subtracted from one another, so

horizontal length: 14/2 = 7cm

vertical length: 12/2 = 6cm

Box 2 horizontal length (total) = 14cm devided by half the length of box 1 (7cm)

14 - 7 = 7cm

Box 2 vertical length (total) = 12cm devided by half the length of box 1 (6cm)

12 - 6 = 6cm

The total area is calculated by multiplying the horizontal and vertical lengths

7x6 = 42

the answer is 42

A biologist is recording the loss of fish in a pond. He notes the number of fish, f, in the pond on June 1. On July 1 there were 63 fish in the pond, which is 52 fewer fish than were in the pond on June 1. What is the number of fish in the pond on June 1?

Which equation can be used to find the number of fish in the pond on June 1?


63−f=52

f−52=−63

f−52=63

f−63=−52

Answers

Answer:

the correct answer should be f-52=63

Step-by-step explanation:

All the factors of 7 are also factors of 14. True or False?

Answers

Answer:

true

Step-by-step explanation:

Ted has a part-time job.
He is paid £7.90 per hour.
Last week he worked for 15/2 hours.

Work out Ted's total pay for last week.​

Answers

118.50 cents if I’m correct

Answer:

The answer is 122.45

Step-by-step explanation:

So basically we know that he worked 15 and 1/2 hours

He gets paid £7.90 for every hour he works

7.90  × 15 = 118.5

Then you do half of £7.90 which is £3.95 because he worked 1/2 hours half of 60 minutes is 30 minutes that why you half £7.90.

You add 118.5 + 3.95 = £122.45

and that your answer

667676767667676767676766676767676766767676766776767676767676767676767676767676767676 x 6676767676766767676767676767676767676767676767676767676767676767676676767676767676767

Answers

Answer:

y^6

hope it helps you

Step-by-step explanation:

brainliest plus

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