Mathematics High School

David wants to purchase some pens. The pens he likes cost $2 each, not including tax. This is represented by the graph below.


Notice triangle BAC.
Notice triangle BDE.
Explain how the triangles demonstrate that the rate of change is consistent for number of pens purchased and the cost.

Answers

Answer 1

The rate of change is always the same for a straight line no matter the points used.

The equation of a straight line is given by:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

In triangle BAC:

Rate of change = change in y(cost) / change in x(pens) = (6 - 0) / (3 - 0) = 2

In triangle BDE:

Rate of change = change in y(cost) / change in x(pens) = (8 - 0) / (4 - 0) = 2

The rate of change is always the same for a straight line no matter the points used.

David Wants To Purchase Some Pens. The Pens He Likes Cost $2 Each, Not Including Tax. This Is Represented

Related Questions

given the equation y+9=-3(x-4) what point does the line pass through?

Answers

Answer:

(0,-5)

Step-by-step explanation:

First you want to simplify this equation by distributing the 3 into x-4:

y+9 = -3x+4

Next subtract 9 from both sides:

y= -3x -5

Now since I am assuming you want the Y-Intercept because you didn't ask for a specific point then it passes through the Y axis at the point (0,-5)

Hi! Please help me asap!!

This Pixel Art is due in exactly 7 minutes! I will give brainliest for whoever does this for me first and correct! Please label it with the numbers so I could I know!! Some are done but please correct me if needed! Thank you!!

Answers

Answer:

11) x = -1

12) y = 8

13) j = 155

14) g = -4

15) x = 18

Step-by-step explanation:

11) 2(x - 3) = -8

x - 3 = -4

x = -4 + 3 = -1

12) y + 3 = -2y + 27

3y = 24

y = 8

13) 2j - 3 + 3j = 2 (341 + 45)

5j - 3 = 2(386)

j = 155

14) 2(g + 1) = 3(g + 2)

2g + 2 = 3g + 6

-4 = g

15) 25 = 4/3 x + 1

25 - 1 = 4/3 x

24 = 4/3 x

18 = x

x = 18

g = -4

Using the information given, select the statement that can deduce the line segments to be parallel. If there are nor
then select none.
When m<7=m<8

Answers

Answer:

  none

Step-by-step explanation:

All you can deduce is that AC bisects angle A. This tells you nothing about the relationships between non-adjacent sides of the figure.

  no line segments can be deduced to be parallel

Sara read 29 1/2 ​ pages in 2/3 ​ of an hour. At what rate, in pages per hour, did she read?

Answers

Answer:

44 1/2 pph

Step-by-step explanation:

1/3 of an hour she reads 14 3/4 pages,that means that 3 times 14 3/4 equals 44 1/2 pages per hour

( 6 x [8 + 3] - 4 ) + 10

Answers

The answer to ( 6 x [8 + 3] - 4 ) + 10 would be 72

ANSWER: 57

Please tell if i am right

Briana9968

Go step by step to reduce the radical.

Answers

Answer:

4[tex]\sqrt{15}[/tex] or   [tex]\sqrt{16} * \sqrt{15}[/tex]

Step-by-step explanation:

[tex]\sqrt{2^4*3*5}[/tex]

[tex]\sqrt{2^4}[/tex][tex]*\sqrt{3*5}[/tex]

[tex]\sqrt{2^4}[/tex]=4

[tex]\sqrt{16} =4[/tex]

3*5=15

4[tex]\sqrt{15}[/tex]

The difference between Lily's age and twice Kenny's age is 6 years. Lily is older than Kenny. Let x represent Lily's age and y represent Kenny's age.

What is the equation?​

Answers

6+6=12that is the equation

If x represents Lily's age and y represents Kenny's age. The equation representing the given condition is x-2y=6.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

Given that, there are 6 years between Lily and Kenny, who are twice her age. Kenny is younger than Lily. Let x and y stand in for Lily's and Kenny's ages, respectively.

Let x represent Lily's age and y represent Kenny's age.

If the difference between Lily's age and twice Kenny's age is 6 years.

x-2y=6

If Lily is older than Kenny.

x>y

Thus, if x represents Lily's age and y represent Kenny's age. The equation representing the given condition is x-2y=6.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

Use rounding to estimate the product.8 × 9.82

Answers

Answer:

8 * 9.82 ≈ 8 * 10 = 80

Step-by-step explanation:

9.82 ≈ 10

8 * 10 = 80

Giving brsinliest to first comment there is no question​

Answers

Me please I have been having a bad day…

please help me X/3+2>7 solve for x

Answers

Answer: x>15

X/3 + 2 > 7

Subtract +2 from both sides to remove it from the left hand side of the >

X/3 > 5

Multiply both sides by 3 to remove the /3 from the left hand side of the > to fully get x on its own

X > 15

y = 8x + 10

y = 2

whats the substitution ?

Answers

Answer:

Look at the explanation.

I'll be online so let me know if you still need help.

Step-by-step explanation.

A system of equations is basically two or more equations that rely on each other. If a solution for a variable is 2, it has to work for the other equation.

The substitution is basically plugging in the y value to y = 8x + 10

If y = 2

and also y = 8x + 10

What do you think the substitution is?

Combine like terms and write an equivalent expression with the fewest number of terms 5+2x+7+4x

Answers

X=6 is the answer. Bestie could you please bestow me brainliest?

Which of the following is the domain of the graph below?

Answers

Answer:

That answer is correct

Step-by-step explanation:

all of the other ones have errors in them, the domain is every dot above below or on the x-axis.

Cells Are Us charges $5 per month and $1.50 per minute on their prepaid plan. The total cost for a cell bill can be represented by the equation C = 1.5m + 5, where m represents the number of minutes and C represents the cost, in dollars. Call Time charges $15 per month and $0.50 per minute on their prepaid plan. The total cost for a cell bill can be represented by the equation C = 0.5m + 15, where m represents the number of minutes and C represents the cost, in dollars. 1 At how many minutes do the two companies charge the same amount?

Answers

Answer:

10 minutes

Step-by-step explanation:

You set the two equations to be equal. You will get an equation in the unknown m that gives the time needed

[tex]1.5m+5 = 0.5m+15 \rightarrow 1.0m = 10 m=10[/tex].

Takes 10 minutes for the two companies to be as expensive.

Which of the following correctly indicates whether a triangle can have sides with lengths 3.5, 5.3, and 16.5, and also provides the correct explanation?


A) Yes; 16.5 + 5.3 is greater than 3.5.
B) No; 3.5 + 16.5 is greater than 5.3.
C) Yes; 3.5 + 5.3 is greater than 16.5.
D) No; 3.5 + 5.3 is less than 16.5.

Answers

Answer:

D) No; 3.5 + 5.3 is less than 16.5.

Step-by-step explanation:

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.

4) Write the equation of the line in

slope-intercept form

5) Write the equation of the line in

slope-intercept form

(-2,5)

(5,-2)


CAN ONE OF YALL HELP PLEASE I NEED THESE RIGHT TO GET THE PLEASE I KNOW YALL CAN HELP!!

Answers

Step-by-step explanation:

(x1,y1) = (-2,5)

(x2,y2) = (5,-2)

(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)

(y - 5)/(-2 - 5) = (x + 2)/(5 + 2)

(y - 5)/-7 = (x + 2)/7

(y - 5)/-1 = (x + 2)/1

y - 5 = -(x + 2)

y - 5 = -x - 2

y = -x -2 + 5

y = -x + 3

7. Write an equation for the line in slope-
intercept form.

Answers

Answer:y=-1/2x-3

Step-by-step explanation:

Determine whether the given value is a solution of the equation.
1. b over 12 = 5;b = 60 ____________
2. 7w = 87; w=12 ____________

Answers

Answer: 1.  YES, 2.  NO

Step-by-step explanation:

1. b over 12 = 5;b = 60 ___YES___ 60/12 = 5  YES

2. 7w = 87; w=12 ____NO_____   7*12 = 84, not 87

I JUST NEED THE PERIMETER PLEASE HELP ITS DUE IN 10 MINUTES

Answers

18x is the perimeter

Answer:

18x

Step-by-step explanation:

Collect like terms.

2((5x+4x)+(4-4))

Simplify (5x+4x)+(4−4) to 9x.

2×9x

Simplify.

18x

help please and thanks

Answers

Answer:

NUMBER $450

Step-by-step explanation:

HOPE IT'S HELP

HURRY I NEED HELP
I JUST NEED TO KNOW HOW TO DO THIS PLEASE
ILL GIVE 5 STARS AND STUFF PLS

Answers

Answer:

On the left, it would be + 1 for each blank, and on the right it would also be +1 for each blank.

Step-by-step explanation:

They are asking for the intervals between each number.

Hope this helps!

Helpppppppppppppppppppp

Answers

Answer:  1/3

Step-by-step explanation: From what I can see, when y is 1, x is 3. slope is y2-y1/x2-x1

The pairs are (0,0) and (3,1). 1-0 is 1 and 3-0 is 3. Therefore the slope is 1/3

Write an equation for the line described in standard form. through (0,3) slope = 3

Answers

Answer:

y = 3x + 3

Step-by-step explanation:

y = 3x + b

3 = 3(0) + b

3 = 0 + b

3 = b

Ashton had $60 to take shopping with her. She bought a dress for $16.50, a pair of shoes for $12.25, and 3 head bands for $2.25 each. She paid a 6% sales tax on all of the items she bought. How much money did Ashton have left?

Answers

Answer:

$22.37

Step-by-step explanation:

[Total Cost] 16.5 + 12.25 + (3)2.25 = $35.50

[Sales Tax] 6% -> 0.06

                  35.5 * 0.06 = 2.13

                  35.5 + 2.13 = $37.63

[Money Left] 60 - 37.63 = $22.37

Have a nice day!

   I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

24

Step-by-step explanation:

u di

The carnival fundraiser at Westville Elementary School raised $300 on Friday. On Saturday, the carnival will raise 480 percent of that amount. Which statements are true about the amount of money that the carnival will raise on Saturday? Check all that apply.
The answer will be less than $300 because 100 is less than 480.
The answer will be greater than $300 because 480 is greater than 100.
(100)(3) = 300, so 480(3) is the amount of money that the carnival will raise on Saturday.
480 + 300 is the amount of money that the carnival raised on Saturday.
The carnival raised $780 on Saturday.
The carnival raised $1,440 on Saturday. its mulaple choice

Answers

Answer:

the second option, the third option, and the last option

Step-by-step explanation:

Answer: a,c,d

Step-by-step explanation: just took it

A bedroom wall is 3m wide and 2m tall. What is the total area of the wall? A can of paint will cover 10 m^2. How many cans are needed if the wall requires two coats of paint and there are four walls in the bedroom?

Answers

Answer:

6m area total of the wall. You can find the other 2 from there

what is the percent of change from 20 to 24? A. 15% decrease B. 20% increase C. 15% increase D. 20% decrease

Answers

Answer:

im pretty sure it would be 15%

Step-by-step explanation:

so A

Find the values of a,b, and c for...

Answers

Answer:

a = 1

b = 6

c = 9

Step-by-step explanation:

The formula for a quadratic equation is y = ax^2 + bx + c

Using this, we can plug in the letter values into the given equation and find the values for a, b, and c.

To make a certain shade of blue-green paint, 3 parts of blue paint must be used for every 1 part of yellow paint. How many quarts of blue paint need to be added to 3 quarts of yellow paint to make the paint this shade of blue-green?

Answers

Answer:

9

Step-by-step explanation:

3 x 3 = 9

Which is larger, 3/10 or 0.25?

A.3/10

B.0.25

C.They are equal.​

Answers

Answer:

A. 3/10

Step-by-step explanation:

0.25 = 2.5/10

2.5/10 < 3/10

Answer:

It is 3/10 because it doesn't need approximation to give 0.3

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