Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.

Write The Equation Of The Line That Represents This Graph. Show Your Work Or Explain How You Determined

Answers

Answer 1
First the slope must be found.

The graph goes from (0,300) to (450,0), so the slope is falling by 300 every 450 units

numerically, the slope is

[tex] \frac{ - 300}{450 } [/tex]

which simplifies to

[tex] \frac{ - 2}{3} [/tex]

the y intercept is visible on the graph as 300, so now we plug in what we know to slope intercept form

y = (slope) x + y-intercept

[tex]y = \frac{ - 2}{3} x + 300[/tex]

Related Questions

An animal shelter currently only has 30 dogs and 20 Cats. What is the ratio cats to animals?

Answers

hello!

30:20
this could be simplified to
15:10
and further simplified to
3:2

I hope this helps!~~♡♡ Chyna

Answer: 3:2

Step-by-step explanation:

Given : An animal shelter currently only has 30 dogs and 20 Cats.

i.e. Number of dogs = 30

Number of cats = 20

Then, the ratio of cats to animals is given by :-

[tex]\dfrac{\text{Number of cats}}{\text{Number of animals}}\\\\=\dfrac{30}{20}\\\\=\dfrac{3}{2} \ \ \text{[By dividing 10 in the numerator and denominator]}[/tex]

Therefore, the ratio of cats to animals = 3:2

Solve for b2: A=1/2(b1+b2)h

Answers

[tex]b_{2}[/tex] = [tex]\frac{2A}{h}[/tex] - [tex]b_{1}[/tex]

multiply both sides by 2 to eliminate the fraction

([tex]b_{1}[/tex] + [tex]b_{2}[/tex] )h = 2A

divide both sides by h

[tex]b_{1}[/tex] + [tex]b_{2}[/tex] = [tex]\frac{2A}{h}[/tex]

subtract [tex]b_{1}[/tex] from both sides

[tex]b_{2}[/tex] = [tex]\frac{2A}{h}[/tex] - [tex]b_{1}[/tex]


Ms. Lynch has 21 coins in nickels and dimes. Their total value is $1. 65. How many of each coin does she have? Please answer!!

Answers

Hi, there

Question:Ms. Lynch has 21 coins in nickels and dimes. Their total value is $1. 65. How many of each coin does she have?

Explanation:

1.65 x 21

Answer 34.65

Hi!

Ms. Lynch has 21 coins in nickels and dimes. Their total value is $1. 65. How many of each coin does she have?

12 x 0.1 = 1.2

9 x 0.05 = 0.45

1.2 + 0.45 = $1.65

Answer:

She has 12 Dimes and 9 Nickels!

( 30 POINTS!!! WILL MARK AS BRAINLIEST IF GIVEN AN EXPLANATION )

What is the number in scientific notation?

​0.0765

Answers

I think it is

7.65 x 10^-2



7.65 x 10^-2  i think i'm not sure

An item that is normally sells for $130 is marked down 30%. What is the sale price

Answers

The answer is $100 sales price because all you do is subtract the discount from the price of the original item

To find the sale price of an item that is normally $130 with a 30% markdown, calculate the discount amount ($39) and subtract it from the original price to get a sale price of $91.

The question asks to calculate the sale price of an item after a 30% markdown. To determine the sale price, you have to first calculate the discount amount and then subtract it from the original price of the item. Here's how you do it:

Find the discount amount: original price x discount rate.Subtract the discount amount from the original price to get the sale price.

For an item that is normally sold for $130 and is marked down 30%, the sale price can be calculated as follows:

Discount amount: $130 x 0.30 = $39.Sale price: $130 - $39 = $91.

A retiree invests 3,000 in a savings plan that pays 3% per year what will the account balance at the end of the first year

Answers

3000*.03= 90 so your balance would be 3000+90=$3090

Identify a pair of alternate exterior angles.

Answers

Answer: 1 ,5 and 2,6 (D is the correct answer)


The transformation of triangle abc is an example of what

Answers

Final answer:

The transformation of triangle ABC is an example of a linear transformation that preserves lines and parallelism.

Explanation:

The transformation of triangle ABC is an example of a linear transformation.

A linear transformation is a transformation that preserves lines and parallelism. It transforms lines into lines and takes parallel lines to parallel lines.

For example, if triangle ABC is transformed into triangle A'B'C', the corresponding sides of the triangles will be parallel. Additionally, any lines within the triangle will remain lines after the transformation.

What’s -3r=1/2(32-8r)

Answers

It is safe to assume the goal is to solve for 'r'. To do so we need to isolate 'r'.

[tex]-3r = 1/2(32-8r)\\\\-3r = 16-4r\\\\r = 16[/tex]

The boat travels x miles per hour from one island to another island in 2.5 hours. The boat travels 5 miles per hour faster on the return trip of 2 hours. What is the distance between the island?

Answers

The speed to the island is x. The speed to return is x+5.

The distance is the same so, 2.5 multiplied by x = 2×(x+5).

It took 2.5 hrs to get there and 2 hrs to return. Now all we have to do is solve.

 2.5*x = 2x + 10

 .5x = 10
x=20

 Therefore, the distance between islands is 2.5 × 20 = 50 miles.

hope this helps!

What is the solution to the inequality?

-2/3 (2x - 1/2)<= 1/5x - 1

Answers

I hope this is the answer you're looking for!

write and solve an equation to find the missing value:

Answers

b + 48 = 180
subtract 48 from both sides to get:
b = 132

Is this all right because my homework is tomorrow

Answers

Yeah, its all correct

It's all correct, but I'm not really sure about the drawing part because I can't see it all, although I think you did a great job :)

What is the difference ? X/x^2-2x-15-4/x^2+2x-35

Answers

 x / x² - 2x - 15 - 4 / x² + 2x - 35


FIND THE FACTOR OF EACH DENOMINATOR


= x / (x-5)(x+3) 

-  4 / (x-5) (x+7)


FIND THE LCD AND MULTIPLY EACH TERM TO ARRIVE AT THE SAME DENOMINATOR.


= x / (x-5)(x+3)  *

(x+7) / (x+7)   -    4 / (x-5) (x+7)  * (x+3)/(x+3)


PERFORM SUBTRACTION


= x2 + 7x / (x-5) (x+3) (x+7)  - (4x + 12) / (x-5) (x+7) (x+3)


= x2 + 7x – 4x – 12 / (x-5) (x+3) (x+7)


this would be your answer = x² + 3x – 12 / (x-5) (x+3) (x+7)


Answer:D

Step-by-step explanation: I just did it on edge

Daniel is a singer, and he promises his agent that he will give him a 25% commission based on what he makes from a show. After paying the agent, Daniel takes home $120. Use the diagram to answer the following questions.

Daniel’s agent made .


Daniel and the agent made a total of from the show.

Answers

Answer:

Daniels agent made $40.

Daniel and the agent made a total of $160 from the show.

Step-by-step explanation:

Given:

Let the total amount made from the show  = x

Daniel's agent made = 25% of x

Daniel made = $120

From the question, we know that the total amount is the sume of what daniel and the agent took.

So,

x = 120 + 25% of x

x-0.25x = 120

0.75x = 120

x = 160.

Hence the total amount made from the show is $120.

Daniel's agent made = 25 % of 160

= 0.25*160

= 40

Hence, Daniel's agent made $40 from the show.

Answer:

40

160

Step-by-step explanation:

convert 4 3/4 to an improper fraction:

to a decimal:



is this repeating or terminating a decimal?

Answers

4 3/4= 19/4=4.75 its a terminating decimal

list all the number sets to which 2/3 belongs

Answers

2/3 belongs to a set of

* Rational numbers

* Real numbers

* Complex numbers

all at the same time

What is the length of the hypotenuse of the triangle? 26 ft 34 ft 68 ft 74 ft

Answers

the hypotenuse is found by A^2 +B^2=C^2
so
10^2 +24^2=C^2
100+576=C^2
676=C^2
so then we find the square root of 676 which is
26.
so C^2= 26

answer 26 ft

Answer: 26 ft.

Step-by-step explanation:

In the given picture, there is a right triangle.

The legs of the right triangles are 10 ft and 24 ft.

To find the length of hypotenuse, we use Pythagoras theorem, we get

[tex]H^2=10^2+24^2\\\\\Rightarrow\ H^2=100+576\\\\\Rightarrow\ H^2=676\\\\\Rightarrow\ H=\sqrt{676}\\\\\Rightarrow\ H=26\ ft[/tex]

Hence, the length of the hypotenuse = 26 ft.

Pythagoras theorem says that the square of the hypotenuseis equal to the sum of the squares of the other two sides.

(8,15) (-14,-3)
find the slope

Answers

The slope is 9/11 because if you use the formula (change in y)/(change in x), you would get -18/-22 and then if it were to be simplified, it would be 9/11

Write an equation for :
She would put 1000.00 a year into an account starting on the babys 1st birthday

Answers

Hello Azzizigilchrist.

The equation of this question would be $1000x

x stands for the amount of years it has been

So if it has been 4 years, 1000 * 4 equals 4000

:)

Algebraic expressions for five less three times the length L

Answers

3L-5 would be your answer

The Turner family and the James family each used their sprinklers last summer. The water output rate for the Turner family's sprinkler was
25L
per hour. The water output rate for the James family's sprinkler was
15L
per hour. The families used their sprinklers for a combined total of
75
hours, resulting in a total water output of
1475K
. How long was each sprinkler used?

Answers

x will be the turner family, y will be the James family
using the givens we construct first this equation
[tex]25x + 15y = 1475 [/tex]
then this one

[tex]x + y = 75 [/tex]
multiply the second by 15 to get

[tex] 15x + 15y = 1125[/tex]
now subtract it from the first to get

[tex]10x = 350 \\ x = 35[/tex]
substitute to find that

[tex]35 + y = 75 \\ y = 40[/tex]
35 hours for Turner, 40 hours for James

Find the value of x using the given information. Then find the measure of

Answers

3x+22+5x-17=77
8x+5=77
8x=72
X=9
Angle ABD
3(9)+22
27+22=49
Angle DBC
5(9)-17
45-17=28

Which function has a domain of all real numbers except x=pi/2+_npi?


A. Y=cos x
B. Y=cot x
C. Y= 1/sinx
D. Y=sec x

Answers

The answer would be D. Y=secx

Hope this helps and good luck!

Please answer quickly thanks

Answers

8/3 = 2 2/3 and -11/3 = -3 2/3
so the middle line is 0 and each big line is 1.
Put the first dot on 2 2/3 or right before the 3rd big line.
Put the second dot on -3 2/3 or the line right after the 4th big line going back from 0

An architect notices that the scale on a blueprint he is using has been torn off. However, he sees that a 12.5-ft. wall that has been built is 5 in. long on the blueprint. What is the scale for this blueprint?

Answers

Answer:

The scale is : 1 in : 2.5 ft

Step-by-step explanation:

An architect notices that the scale on a blueprint he is using has been torn off.

However, he sees that a 12.5-ft. wall that has been built is 5 in. long on the blueprint.  

Let the scale be x

[tex]\frac{5}{12.5} =\frac{1}{x}[/tex]

So, scale = [tex]x=\frac{12.5}{5}[/tex] = 2.5

So, the answer is : 1 in : 2.5 ft

Answer:

The scale is : 1 in : 2.5 ft

Step-by-step explanation:

pls make me brainliest

the length of a rectangle is 4 in. greater than the width. the perimeter of the rectangle is 24 in. find the dimensions of the rectangle

Answers

The width is 8 in.The lenth is 4 in.


Peter went bowling, Monday to Friday, two weeks in a row. He only bowled one game each time he went. He kept track of his scores below.

Answers

Picture?? Or I can’t help you

Two less than twice a number equals the opposite of the same number. Write an equation to represent this statement, then solve.

Answers

2X (twice a number) - 2 (two less) = -X (opposite of same number).
First, isolate the variable, to do this, add X to both sides. This creates 3X - 2 = 0, then add 2 to both sides. This makes 3X = 2, divide this by 3 and you get the answer: X = 2/3.

To check it, 2*2/3 - 2 is -2/3, which means our answer is correct.


[tex]( {x}^{3} + {x}^{2} + x + 2) \div ({x}^{2} - 1)[/tex]

Answers

[tex](x^3+x^2+x+2) divide by (x^2-1)[/tex]

We use long division to divide

There is no x term in x^2 -1  so we put 0x

                         x   +    1

                        ----------------------------

x^2+0x-1           x^3+ x^2 + x+ 2

                         x^3+0x^2-x

                         -----------------------------(subtract the bottom from top)

                               x^2 +2x + 2

                               x^2 +0x - 1

                          --------------------------------(subtract the bottom from top)

                                      2x + 3

                    -----------------------------------------    

Quotient : x+1

Remainder : 2x+3

                               


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