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

If 4 and 18 are the sides of a right triangle, what is the hypotenuse to the nearest tenth?

Answers

a^2+b^2 = c^2, so 4^2 + 18^2 = 340, the square root of 340 = 18.43909. Rounded to the nearest tenth, the answer is 18.4

There are 23 students in a sixth-grade class. Nine students play hockey.
What is the ratio of students who do not play hockey to the total amount of
students? (6.RP.1)
point
O 9 to 23
O 14 to 23
O 14 to 9
O 9 to 14

Answers

Answer:

14:23

Step-by-step explanation:

14:23

Answer:

its 14-23

Step-by-step explanation:

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

An anchor was dropped into the ocean. It sank 60 feet below sea level in 5 seconds. What integer represents the anchor’s change in elevation per second?  ​

Answers

Answer:

1245.89

Step-by-step explanation:

fthgxdtyujbcxfdrtyuhjnb bcfdtyhjnbcxdftgyhjn cftyghjn vcfghjnbvfghj

Choose ALL answer choices equivalent to the ratio of snails to frogs?
A. 4:3
B: 3:4
C: 9:12
D: 12:9
E: 18:20
F: 27:36
And the picture shows that there are 4 frogs and 3 snails

Answers

Answers are A B and F I think if I’m wrong I’m really sorry

Mrs.owens bought two candles for her dining room table. She paid with a $100 bill and received $32.16 in change. If sales tax is charged at a rate of 6% what was the price for one candle holder before taxes?

Answers

6% would typically be 6cents to every dollar so that’s odd. Any who
100-32.16=67.84/2=33.92
Then remove taxes per candle
33.92 has 2.04 for tax 6% = 6cents or 0.06
33.92-2.04=33.88 without tax per candle
Answer: 33.88$

The price for one candle holder before taxes is $30.88.

What is a tax?

It is an amount of money that a government requires people to pay according to their income, the value of their property, etc., and that is used to pay for the things done by the government.

The total payment including tax is $100.

The change received is $32.16.

The rate of sale tax is 6%.

The cost of one candle including tax is given by

(100 - 32.16) / 2 = 32.92

6% of a candle is given by

32.92 * 0.06 = 2.0352

The cost of one candle without tax is given by

32.92 - 2.0352 = 30.88

Hence, the cost of one candle without tax is $30.88.

To learn more about tax, use the link given below:

https://brainly.com/question/16423331

#SPJ6

You are your friend are playing a game where you flip a coin and roll a fair four-sided die.

Answers

What about it?????????

Answer: is this the best ratio question

Step-by-step explanation:


What is the reciprocal of 5/4

Answers

Answer:4/5

Step-by-step explanation:

U know it's baby #####

A rectangular based prism has a length of
12m a width of 7m and height of 11m. Find
its volume.

Answers

Answer:

924m^3 is the volume of the rectangular prism

Henry went clothes shopping and bought 3 pairs of shorts for $22.99 each, 2
shirts for $32.99 each and one pair of shoes for $54.99. What is the most
reasonable estimate of the total amount he spent on all the clothing?
A. $135
B. $184
C. $190
D. $223

Answers

Answer:

C

Step-by-step explanation:

I need help with math please explain or show how to do t

Answers

Answer:

B  t = 9(5)

Step-by-step explanation:

for each mile the time increased by 9 minutes. So you can find the time in minutes by multiplying the number of miles by 9.

Please Help will get brainliest. click image

Answers

I do not know... I'm sorry...

Which expression would be easier to simplify if you used the associative property to change the grouping?
A.(160+40)+27(160+40)+27

B.0.85+[0.15+(-\frac{1}{3})]0.85+[0.15+(− 31 )]

C.[(-\frac{1}{3})+(-\frac{2}{3})]+(-\frac{4}{5})[

D.1 + ( 3/4 + ( - 3/4)


brainliest if right and its on ap..ex

Answers

Answer:

C is the answer

Step-by-step explanation:

Somehow this was in my test last week , lol

Let T: P2 → P3 be the transformation that maps a polynomial p(t) into the polynomial (t-2)p(t).

a. Find the image of p(t) = 2-t + t^2
b. Show that T is a linear transformation.
c. Find the matrix for T relative to the bases (1, t,t^2) and (1,t,t^2,t^3).

Answers

(a) Applying T to p(t) = 2 - t + t ² gives

T ( p(t) ) = (t - 2) (2 - t + t ²) = -4 + 4t - 3t ² + t ³

(b) T is a linear transformation if for any p(t) and q(t) in P₂ and complex scalars a and b, the image of any linear combination of p and q is equal to the linear combination of the images of p and q. In other words,

T ( a p(t) + b q(t) ) = a T ( p(t) ) + b T ( q(t) )

Let

p(t) = α₀ + αt + αt ²

q(t) = β₀ + βt + βt ²

Compute the images of p and q :

T ( p(t) ) = (t - 2) (α₀ + αt + αt ²)

… = -2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + αt ³

Similarly,

T ( q(t) ) = -2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + βt ³

Then

a T ( p(t) ) + b T ( q(t) ) = a (-2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + αt ³) + b (-2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + βt ³)

… = c₀ + ct + ct ² + ct ³

where

c₀ = -2 (a α₀ + b β₀)

c₁ = a (α₀ - 2α₁) + b (β₀ - 2β₁)

c₂ = a (α₁ - 2α₂) + b (β₁ - 2β₂)

c₃ = a α₂ + b β

Computing the image of a p(t) + b q(t) would give the same result; just multiply it by t - 2 and expand. This establishes that T is indeed linear.

(c) Find the image of each vector in the basis for P₂ :

T (1) = (t - 2) × 1 = t - 2

T (t ) = (t - 2) t = t ² - 2t

T (t ²) = (t - 2) t ² = t ³ - 2t ²

Then

[tex]T=\begin{bmatrix}-2&0&0\\1&-2&0\\0&1&-2\\0&0&1\end{bmatrix}[/tex]

Markers were placed at altitudes of 10 and 15 feet below sea level Enter the integer that represents the altitude closer to sea level​

Answers

Answer:

43

neeed...20...charetors

The integer that represents the altitude closer to sea level​ is 10.

What is addition?

Addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value. A numerical expression is algebraic information stated in the form of numbers and variables that are unknown.

We are informed that Markers were placed at altitudes of 10 and 15 feet below sea level

Then we need to find the integer that represents the altitude closer to sea level​.

We can say that 10 is negative (below the sea level), and 10 is 10 spaces away from zero on the number line, meaning the answer could be |10|.

The sea level would be 0 and the 10 would be -10 and the 15 will be -15

Hence, the 10 is closer to the sea level.

Thus the integer that represents the altitude closer to sea level​ is 10,

Learn more about fraction addition here:

https://brainly.com/question/17544795

#SPJ2

Complete the equation so it has infinitely many solutions.

4x + 7 = 4(x + 3) –
i juss wanna give yall sum points yw
;)

Answers

Answer:

im not sure

Step-by-step explanation:

Answer:

Thx for the points the answer is also 5

Step-by-step explanation:

16 – (3 – 4y) = 2(y + 2)

Answers

Answer:

[tex]y = -4\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]16-(3-4y) = 2(y+2)[/tex]

Distribute.

[tex]16 - 3 + 4y = 2y + 4[/tex]

Combine like terms.

[tex]13 + 4y = 2y + 4[/tex]

Subtract [tex]2y[/tex] from both sides.

[tex]13 + 2y = 4[/tex]

Subtract 13 from both sides.

[tex]2y = -9[/tex]

Divide both sides by 2.

[tex]y = -4\frac{1}{2}[/tex]

I hope this helps!

solve this one problem 1X13 and only this problem the problem that says 1x13 no other problem.

11111111111111111111111111111111111111111+23333333333333333+000000000000999999999999999999999999999999=

Answers

Answer:

13

Step-by-step explanation:

because...math

If there were 1,593 Ronald McDonald's in the McDonald's, how many could fit?

Answers

depends on the size of the mcdonald’s

Answer:

over 1,593

Step-by-step explanation:

if there was already 1,593 Ronalds in the McDonalds the McDonalds can most likely fit over that amount

Simplify, (2^-6)(5)(2^3 x5)^2

Answers

Answer:

5^3

Step-by-step explanation:

Apply the property (ab)^n=a^nb^n

Apply property (a^n)^a^nm

Rearrange the terms so they are next to terms with same base

Apply the property a^n a^m=a^n+m

9. A cell phone can be purchased from the manufacturer for $160. The online retailer has a
standard markup of 30%, and the store has a standard markup of 40%.
(a)What is the price of the cell phone when purchased online?
(b)What is the price of the cell phone when purchased at the store?
(c) Which is the better deal?

Answers

Answer Below

30% of 160 is 48 dollars. Meaning you would take the 48 from 160. Leaving 112.So the 30% mark up would mean you would pay $112.Saving $48.

Take the 160 dollar,and have the 40% to work with. Taking this would be $64. So 160-64 is $96. They will spend $96 on the phone in-store

Purchase online- $112

Purchase in-store-$96

The better deal is in-store

Answer:

(A) $208   (B) 224   (C) the online one. it cost less

Step-by-step explanation:

(A) find 30% of $160 and add it to 160. put that answer in dollars.

(B) find 40% of $160 and add it to 160. put that answer in dollars.

(C) it is the one that costs less

Provide a radian measure of an angle that is 5/8 of a revolution counterclockwise from the x-axis.

Answers

I’m pretty sure but not so sure I think it is 180

Which of the following are terms in this expression? Select all that apply.
2+8c+d+b

HELPPPPPP I HAVE 20 MINUTES LEFT

Answers

Answer:

2, 8, c, b, d

Step-by-step explanation:

Terms are any numbers or variables that represent numbers. In other words, 2, 8, c, d, and b are all the terms of this expression.

Launch Problem
A group of friends is making goody bags for a birthday party. They have 12 pencils, 6 erasers, and 18 stickers.
(a) What is the greatest number of identical goody bags they can make using all of the pencils, erasers, and stickers?
(b) How many pencils, erasers, and stickers would each bag have?

Answers

Answer:

A) 6

B) 2 Pencils,1 Eraser,3 Stickers.

Step-by-step explanation:

Hope this helps!

The sum of seven and the quotient of a number x and eight.

Answers

7 + x/8 have a good day!
7+x/8 I hope this helps ........!!!!!!!!!! This was what I got

write the ration in following three ways
12 mangoes to 36 fruits​

Answers

12/36, 12:36, and 1:3 I believe hope this helps

Help me out here pleaseeeeeee

Answers

Answer:

option C

Step-by-step explanation:

(6+3)= 9

9 × 4= 36

36-2= 34

hope it helps! please make me brainliest..

Thank you! Have a good day ahead!

Answer:

(6+3)*4-2

Step-by-step explanation:

(6+3)*4-2

9*4-2

36-2

34

PEMDAS

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

11.) Is the equation below linear or nonlinear?

Y=9x-5

Answers

Answer:

liner

Step-by-step explanation:

Totally blanking on how medians work

Answers

Answer: FC = 16

===============================================

The three medians of this triangle are:

PFREQD

These segments go from one vertex to the midpoint of the opposite side.

The median we'll focus on is PF.

The point C is the centroid of the triangle. It's where the three medians intersect. It turns out that C divides PF such that CF is twice as long as PC

In other words,

CF = 2*PC

This means,

PF = PC+CF .... segment addition postulate

PF = PC+2*PC ... replace CF with 2*PC

PF = 3*PC .... combine like terms

So the median PF is three times the length of its portion PC

We're told that PF = 24

We can then find the following:

PF = 3*PC

24 = 3*PC

3*PC = 24

PC = 24/3

PC = 8

Then we double this to get the length of CF

CF = 2*PC

CF = 2*8

CF = 16

This is the same as FC because the order of the endpoints don't matter when it comes to naming a segment.

The final answer is 16.

The snowy slopes ski resort kept track

Answers

What I don’t understand what do u mean
There is no context here.
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