Note: A maximum number of 4 points are available for this question. Part A is worth 1 point. Part B is worth 1 point. Part C is worth 2 points.
Brian received 45 trading cards from his mother and 25 trading cards from his uncle to start a collection.
Each week, Brian uses his allowance to buy a new pack of 15 trading cards to add to his collection.

Write an equation in slope-intercept form to represent the situation. Use x for the independent variable and y for the dependent variable. Identify what both variables represent.

Answers

Answer 1

Answer:

The representation of Brian's situation in slope intercept form is:

                              y= 15x +70

Step-by-step explanation:

Let x be the number of weeks Brian started his collection.

y be the number of cards Brian has at present.

                         y= 45+25+ 15 x

                   or, y= 15 x +70

which is in the form of,

                              y= mx +c                (slope intercept form)

where,

m= slope

x= x- intercept

c= constant.


Related Questions

plz help ...........

Answers

Answer:

use the Pythagorean theorem.

[tex] {15}^2 + {9}^2 = {c}^{2} \\ 30 + 18 = {c}^{2} \\ {48}^{2} = {c}^{2} \\ 6.9[/tex]

4. The school store offers a discount for
purchases made during lunchtime. The usual
price of pencils is $0.25. The discount price is
$0.20. How much can you save by buying 6
pencils during lunchtime?

1. Jason rented a canoe for $6 per hour plus a
$15 fee. He was out on the lake for 3 hours.
How much did he pay for the canoe rental?

Answers

4. 0.25*6=1.5
0.20*6=1.2
1.5-1.2=0.30

1. 3*6=18
18+15=33

Please help as soon as possible! THIS IS 45 POINTS
For the answer I find most helpful and easy to understand, I will mark Brainliest.
Ima try this one more time


Roller Coaster Crew

Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle the math behind some simple curves in the coaster's track.

Part A

The first part of Ray and Kelsey's roller coaster is a curved pattern that can be represented by a polynomial function.

1. Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has four intercepts. Kelsey argues the function can have as many as three zeros only. Is there a way for the both of them to be correct? Explain your answer.

2. Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = (x + 2)(x − 1)(x − 2)
g(x) = (x + 3)(x + 2)(x − 3)
g(x) = (x + 2)(x − 2)(x − 3)
g(x) = (x + 5)(x + 2)(x − 5)
g(x) = (x + 7)(x + 1)(x − 1)

3. Create a graph of the polynomial function you selected from Question 2.


Part B

The second part of the new coaster is a parabola.

4. Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = (x − a)(x − b). Describe the direction of the parabola and determine the y-intercept and zeros.

5. Create a graph of the polynomial function you created in Question 4.


Part C

6. Now that the curve pieces are determined, use those pieces as sections of a complete coaster. By hand or by using a drawing program, sketch a design of Ray and Kelsey's coaster that includes the shape of the g(x) and f(x) functions that you chose in the Parts A and B. You do not have to include the coordinate plane. You may arrange the functions in any order you choose, but label each section of the graph with the corresponding function for your instructor to view.

Answers

Answer:

See Explanation

Step-by-step explanation:

Part A

Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has 4 intercepts. Kelsey argues the function can have as many as 3 zeros only. Is there a way for the both of them to be correct? Explain your answer.Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has 4 intercepts. Kelsey argues the function can have as many as 3 zeros only. Is there a way for the both of them to be correct? Explain your answer.

Yes, they both can be correct. Ray is correct because you can have 4 intercepts. Only 3 can be zeros and 1 can be the Y-Intercept.

Part A - 2

Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.

The zeros of function g(x)= x^3-x^2-4x+4 is -2,2, and 1. The other key features of polynomial functions include end behavior, Y- intercept and the axis of symmetry, and the vertex.

Provide a sketch of g(x), Label or identify the key features on the graph.

Part b

pART B

Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = ax2 + bx + c. Describe the direction of the parabola and determine the y-intercept and zeros.

The direction of the parabola would be both sides going up because they are the leading coefficient and the degree is both even and positive numbers. The zeros are 1.5 and -2. The Y-intercept is 6

The axis of symmetry is -1.75 and the vertex is 1.75 and 12.37

X= B/2A

X=7/2(2)

X= 1.75

2x^2+7X+6

2(1.75)^2+7(1.75)+6

2(-3.06)-12.25+6

-6.12-12.25+6

=12.37

The safety inspector notes that Ray also needs to plan for a vertical ladder through the center of the coaster's parabolic shape for access to the coaster to perform safety repairs. Find the vertex and the equation for the axis of symmetry of the parabola, showing your work, so Ray can include it in his coaster plan.

Create a graph of the polynomial function you created in Question 4.

TOPIC 3

part c

Now that the curve pieces are determined, use those pieces as sections of a complete coaster. By hand or by using a drawing program, sketch a design of Ray and Kelsey's coaster that includes the shape of the g(x) and f(x) functions that you chose in the Parts A and B. You do not have to include the coordinate plane. You may arrange the functions in any order you choose, but label each section of the graph with the corresponding function for your instructor to view.

Ray and Kelsey's new amazing roller-coaster!

Part d

*Reporter: So I hear you guys have this amazing roller-coaster that will be ready soon? Tell us all about it.

*Kelsey: Yes, We are so excited! We really took our time to make sure we build the best roller coaster ever and to see that Ray made sure everything is ready it's so wonderful and I know everyone will love it.

*Ray: Yea Kelsey is right we certainly took our time with it, It's gonna be the most epic ride yet! so everyone tell your friends!

*Reporter: Well we all can't wait to see it and take a ride!

Hope You Helped It :)

The line plot represents the amount of water that is poured into six beakers. What is the total amount in ounces of all the water? Explain how you got your answer. Your answer should be as a mixed number in simplest form.

Answers

Answer:

69

Step-by-step explanation:

just cant explain this

Answer:

1 7/8 ounces

Step-by-step explanation:

Simple addition:

1/8 + 1/8 = 2/8 = 1/4

1/4+ 1/4 = 2/4

3/8 + 3/8 = 6/8 = 3/4

2/4 + 3/4 = 5/4 = 10/8

10/8 + 5/8 = 15/8 = 1 7/8 oz.

1) 4w - 34 = 2
2) p/8 - 7 = -6
3) 11 + r/9 = 4
4) 18 = 5h - 2
5) -1m + 14 =-2
Show your work please

Answers

1. w= 8.5
2. p= 8
3. r= -63
4. h= 4
5. m=16


did the work on paper 3

w = (34+2)/4 = 36/4 = 9
The rest are correct.

PLZ help (question & answers are below)

Answers

Answer:

A

Step-by-step explanation:

The formula for the volume of a cone is [tex]V =\frac{1}{3} \pi r^{2} h[/tex], where r is the radius of the base and h is the height.

In this figure, the cone's radius is 4 and the cone's height is 8.

Substituting in the values, we get:

[tex]V =\frac{1}{3} \pi (4)^{2} (8)[/tex]

Using 7 instead of 8 here would be a mistake, as 7 refers to the height of the cylinder below it.

If Dakota lives 1,500 miles from school. She leaves for school walking at a speed of 60 meters per minuite. Write an equation for her distance D in meters from school after she walks for T minuites. How far is Dakota from school if she has been walking for 3 minuites?

Answers

Answer : R=1500−(60⋅t)
Explanation:
Total distance walked = 1500 meters.
Dakota's rate is 60 meters per minute.
The equation for distance walked over time = r⋅t .
Therefore the distance walked over time =
60 ⋅ t
The equation for distance remaining (let's call it R is 1500 −( 60 ⋅ t ). so the remaining distance to walk after a time t can be written as. "R = 1500 − ( 60 ⋅ t )

help me really quick plz

Answers

Answer:

at the end

Step-by-step explanation:

A shipping manager weighed a random sample from a shipment of 90 boxes and made the dot plot below. What is the mode of the dot plot?

Answers

Answer:

the answer is 28

Step-by-step explanation:

the mode is what comes up the most and 28 is the only one with 2

Ella’s test grades in her history class are 89, 94, 82, 84, and 98. What score must Ella make on her next test to have a mean test score of 90?

needed on the next test

Answers

You need 6 test scores to find the mean test score.
So we need to find the average of all the test scores.
That means we have to add all the test scores and divide by 6 because there are 6 test scores. Let’s think the the s
89+94+82+84+98+x/6=90
(X is the score that ella must have)
447+x/6=90
447+x=90x6
447+x=540
x=540-447
x=93. (Ella must have 93 test scores to have a mean test score of 90)

tell me the correct answer

Answers

The answer is twenty eight.

Answer:

about 38

Step-by-step explanation:

volume of cylinder = πr2h

= 22/7 * 2*2*3

= 37.71

= about 38

What is the value of x?

Answers

90 I think I really could be wrong and if I am I am super sorry
I believe it’s 90. Not sure though.

Please help! The solution has to be the ordered pair where two lines intersect​

Answers

Answer:

(-2,-5)

Step-by-step explanation:

equation form: x=-2,y=-5

the lines intersect

the answer would be (-2,-5)

please help due in 10 minutes will give brainliest!

Answers

what’s the test about

Answer:

where is the question?

Step-by-step explanation:

Please Help I Will Give You 5 Stars And Brainilest

The Options For The First Choose Box Are Yes/No


The Options For The Second Choose Box Are Side Lengths/Sides/Angles/Coordinates


The Options For The Third Choose Box Are Are/Are Not

Answers

No, coordinates, are not

36 POINTS!
Please answer ALL questions! I really need to get this done. Thank you so much if you do. <3

Answers

Answer:

20.40*0.87=24.7080

what is 40%of 9040/100*90=36That I was able to see

Answer:

I'll try answering as much as I could and can see :)

Step-by-step explanation:

1) 6/11 ÷ 2/5 = 15/11 or 1.3636... or 1 4/11 as a mixed number.

2) 8,299 ÷ 43 = 193

3) 28.40 x 0.87 = 24.708

4) 3,948.99 + 489.08 = 4438.07

5) What is 40% of 90 = 36

6) Greg kicked the soccer ball 75 feet. How many yards did he kick the ball? 25 yards

7) Write an expression that represents 72 divided by n plus 4? 72/n+4

8) How many feet are in 3 miles? 15840

hey this is all I can do and see but I hope this helps. p.s. I really need brainliest :)

help please!!! Question is in the picture​

Answers

I don’t really know where the Porche is
I think it’s dababy

HELPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

1. 1/6

2. 2 5/12

3. 5 1/2

4. 5/12

5. 1/4

6. 4 4/5

10. 38

11. 0.4

12. 2.06

Hope this helps :)

Answer:

1. 1/6

2. 2 5/12

3. 5 1/2

4. 5/12

5. 1/4

6. 4 4/5

10. 38

11. 0.4

12. 2.06

Step-by-step explanation:

Have a great day

PLEASE HELP I WILL GIVE BRAINLIEST!!!
(Picture below)
What is m A. 34°
B. 37°
C. 72°
D. 107°

Answers

Answer: the answer would be C C. 72°

Step-by-step explanation:

Answer: the answer is C (72 degrees)

please help will give brainliest due in 10 minutes!!

Answers

Answer:

decimal form 0.0000476

standard notation 0.00001 and 4.76 • 0.00001 = 0.0000476

word form four-hundred-seventy-six ten millionths

Help me please with these

Answers

Answer:

d

Step-by-step explanation:

Help Me! How Can I Add The 7 Ordered Pairs To The Graph ( I’ll list them in the bottom )
(10,1) (35,3) (55,5) (90,7) (20,2) (40,4) (70,6) Hehe Sorry For The Writing

Answers

Answer:

bright blue: (10,1)

black: (20,2)

red: (35,3)

pink: (40,4)

green: (55,5)

purple: (70,6)

grey: (90,7)

Step-by-step explanation:

colour coded

please help!! I really don't want to get this one question wrong and mess up my score :(

Answers

Answer:

12^9 is the correct answer to the question

Step-by-step explanation:

12^8+(-)8-(-)9=8-8+9=9

12^9

Answer:

12^9

Step-by-step explanation:

12^8 * 12^-8

according to law of integers, since both numbers are the same we can work with their roots, and the multiplication would be addition;

8+(-8)= 0

(12*12)^0 ----numerator

(denominator)

12^-9

division = subtraction in the laws of integers

0-(-9)= 0+9=9

(12*12)/12= 12

=12^9

Marco needs $57 to buy new basketball shoes. If Marco earns $3 per day working and already has $12 saved, which equation shows how many days Marco must work before he can afford the shoes?


A. 3d = 57

B. 3d - 12d = 57

C. 3d = 45

D. 3d - 12 = 57

Whoever get's it correct will get brainliest

Answers

It’s D

Let me know if you need an explanation!

Sampson solves the inequality as shown below.
Sampson's father checks Sampson's work and notices a mistake in the answer. What is Sampson's mistake?

Answers

Answer:

subtract 3 from both sides

Step-by-step explanation:

Simplify 7b + 4 + b + 3

Answers

Answer:

8b + 7

Step-by-step explanation:

Add like terms.

7b + b (same as 1b) = 8b

4 + 3 = 7

8b + 7 since you're just combining like terms

who ever gets this right will get a brainlest

Answers

Its acute because it’s a small angle

There are four white socks and six black socks in a drawer. What is the probability of selecting a white sock, not replacing it, and then selecting another white sock?

A: 1/3

B: 3/25

C: 2/15

D: 7/90

Answers

Answer:

A: 1/3

Step-by-step explanation:

please mark this answer as brainlest

Answer:

It was not 1/3

Step-by-step explanation:

2 × (5 × 6) =


Enter the correct product in the box.




(2 × 5) × 6 =

Answers

Answer:

60

Step-by-step explanation:

(10) x 6=?

10 x 6=60

please help really really need this it's on topic systems of equation

Answers

14.8 is what i got from the calculator, im not sure if that helps but ...
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