A librarian finds that the number of hours spent reading a book over a month, R, is dependent on the numbers of hours a person spends at the library over the course of a month, x, and can be modeled by the function
R(x)=26+1.5x
Draw the graph of the reading function by plotting its R-intercept and another point.

Answers

Answer 1

The given modeled function is R(x)=26+1.5x

where R(x) is the number of hours spent reading a book over a month

and x is the number of hours a person spends at the library over the course of a month.

Representing R(x) on the y-axis and x on the x-axis,

Puttinv x=0 to get the R(x) intercept as

R=36+1.5 x 0 = 36

So, (0,36) ia a point.

Determining other-point by putting any arbitrary value of x other than 0.

Putting x=2, to get the other point

R=36+1.5 x 10 =51

So, the other point is (10,51).

Now, joining both the points to get the graph of the given linear equation as shown in the figure.

A Librarian Finds That The Number Of Hours Spent Reading A Book Over A Month, R, Is Dependent On The
Answer 2

Answer:

(0,26) (4,32)

Step-by-step explanation:

The function R(x)=26+1.5x is a linear equation, so its graph is a straight line that can be drawn by plotting 2 points and connecting them.

Its R intercept occurs when x=0, so

y(0)=26,

and (0,26) is the R-intercept.

To find another point, plug in another x value into the function y(x). For example, when x=4, we have

R(4)=26+1.5(4)=32.

So, (4,32) is another point on the graph of R(x).


Related Questions

28.2% of 92 this is for math

Answers

Hey there!

Usually when you come across the word “of” in mathematical problems , it simply means that you’re multiplying

So we can simply multiply 28.2% from 92

28.2% = 28.2/100 = 0.282

New equation

0.282 * 92 = the answer

0.282 * 92 = 25.944

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Once again Plssssssss Help Meh

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Store C is correct answer

PlEASE HELP ILL GIVE OUT BRAINLEIST

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Try 4 dollars and $.25

Can someone help me with these 2 questions real quick?

Answers

Answer:

<M = 32 and <Y = 103

Step-by-step explanation:

1. Since triangle BCM is congruent to triangle ZYR, we know the corresponding parts of the triangles are congruent. Therefore, <Z = <B = 45. The sum of a triangle’s angles is 180, so <M = 180 - <B - <C = 180 - 45 - 103 = 32

2. This is the exact same diagram, so we can use the information we have collected in #1. Since corresponding parts of congruent triangles are congruent, <Y must be congruent to <C, which equals 103. Therefore, <Y = 103.

I hope this helps! :)

1 should be 45 degrees
2 should be 103 degrees

mark me brainliest if the answer is correct, thank you in advance :)

PLSSS HELLPPPP I WILL HIVE BRAINLIEST!!!

Answers

Answer:

6,000cm^3

Step-by-step explanation:

I don't know if this is correct but, volume is LxWxH and for each rectangular prism, it is 20cm x 10cm x 15cm. So each rectangular prism is 3,000cm^3 and you add them together, you get answer.

6,000cm^3 shall be the Answerrrr

1) A box contains 6 red marbles, 10 black marbles, 4 green marbles, and 2 white marbles. One
marble is drawn randomly. What is the probability that it is black or white marble?

Answers

Answer:

The probability of a white marble or black marble being drawn is 12/22.

Step-by-step explanation:

First, add all the marbles together.

6 + 10 + 4 + 2 = 22

10 + 2 = 12

= 12/22

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

What temperature is halfway between 0 and 14 degrees

Answers

Answer:

Step-by-step explanation:

you get the minimum +the maximum ÷ 2

so : (0+14)÷2 =7°

Please please please hellllllppp meeeeee !!!!!!!!!

Answers

ANSWER: 77
Explanation: Making 88 in 8 minutes means that the machine is making 11 per minute thus being said if the machine worked for 7 minutes it would make 77 pens.
88/8=11
11*7=77

If you guess what my name is you get brainliest
A. John
B. Cam
C. Daniel
D. Dickface
E. Seth
F. Taylor
G. Anna.
H. Beth
I. Nerd face.

Answers

Answer:

Taylor???????????........

Answer:

I. Nerd Face

Step-by-step explanation:

-10 -(-5) can someone answer dis for me please
.

Answers

Answer:

-5

Step-by-step explanation:

yw

Answer:

-5

Step-by-step explanation:

the two minus signs next to each other make it a plus sign so the equation would become

-10 + 5

which is -5

answer ASAP pls
thanks and God bless you

Answers

Answer:

We need to plug in the numbers for x and y into the expression for x and y.

[tex]2x^{2} - y\\\\2(3)^{2} - (-2)\\\\2(3)^{2} + 2\\\\18 + 2\\\\20[/tex]

The simplified answer is 20.

What is 0.031+10+2.2

Answers

Answer:

12.231

Step-by-step explanation:

you add them with the zeros

Answer:

12.231

Step-by-step explanation:

0.031+10+2.2

10.031+2.2

12.231

ABCD is a square.
Solve for x

Answers

X = 29

Hope you have a good day and good luck!

Need a bit of help with this:(

Answers

Answer:

Step-by-step explanation:

statement/reason

1) X midpoint for WZ / given

2) WX≅XZ / definition of midpoint (divides a line segment in two congruent parts) (S)

3) X midpoint for VY/ given

4) VX≅XY / definition of midpoint (S)

5) ∠WXV≅∠YXZ / vertical angles are congruent (A)

6) ΔVXW≅ΔYXZ / SideAngleSide Theorem of Congruency

write 4/7 as a percentage, to 2 decimal places.


Please help!

Answers

Answer:

57.14%

Step-by-step explanation:

To convert any fraction to a percentage you need to multiply it by 100

So,

4/7*100= 57.14 (round it off to two decimal places as the question states)

Which table represents a function with a slope of 1/2 and a y-intercept of 4

Answers

Answer:D

Step-by-step explanation: trust me ima sophomore use this for help y=1/2x+4 then x value change it to the number in the x section then if the y appears just like in the box the y section it’s correct

karie builds a skate ramp with 2 metres of wood. she wants the vertical height of the ramp to be 1 metre. what does the angle elevation need to be

Answers

9514 1404 393

Answer:

  30°

Step-by-step explanation:

The relationship between triangle sides and angles can be remembered using the mnemonic SOH CAH TOA. Here, we're interested in the relationship involving the hypotenuse and the side opposite the angle:

  Sin = Opposite/Hypotenuse

For a ramp 1 m high and 2 m long, we have ...

  sin(x) = (1 m)/(2 m) = 1/2

  x = arcsin(1/2) = 30°

The elevation angle of the ramp needs to be 30°.

One ball is drawn from a bag containing 4 red balls numbered 1–4 and 10 white balls numbered 5–14. Find the following probabilities.
What is the probability that the ball not divisible by 3?

Answers

Step-by-step explanation:

9 in total numbers can't be divided by 3...

therefore your probability will be = 9/14

= 0.64

Please helppp!
Solve the system using elimination
-5x+5y=5
5x-4y=-4

A. (1,0)
B. (0,1)
C. (-1,1)
D. (1,-1)

Answers

Answer:

a

Step-by-step explanation:

Literally the last question pls get it right

Answers

-1 or option c is correct. Use the given functions to set up and simplify f(−2).
it’s -1
when you plug in -2 with the exponent it turns to 4
3-(-2)^2
3-4= -1.

One year ago, Lindsey deposited $250 into a savings
account. Her balance is now $253. Two years ago, Jenn
deposited $250 into a savings account. Her balance is
now $257.50. Which account has the greater simple
interest rate? Explain.

Answers

Answer:

Jenn's account

Step-by-step explanation:

Given that:

LINDSAY'S ACCOUNT :

Principal = amount deposited = $250

Final Amount after 1 year = $253

Period (t) = 1 year

JENN'S ACCOUNT :

Principal = amount deposited = $250

Final Amount after 2 years = $257.50

Period (t) = 2 year

Using the relation :

A = P(1 + rt)

A = final amount ; r = interest rate ; t = time

Lindsay :

253 = 250(1 + r(1))

253 = 250 + 250r

253 - 250 = 250r

3 = 250r

r = 3/250

r = 0.012 ; (0.012 * 100) = 1.2%

Jenn:

257.50 = 250(1 + r(2))

257.50 = 250 + 500r

257.50 - 250 = 500r

7.50 = 500r

r = 7.50/500

r = 0.015 ; (0.015 * 100) = 1.5%

Hence, JENN'S deposit has the greater interest rate. (1.5 > 1.2)%

Answer:Sample response:Lindsay’s interest is $3 for one year. Using the formula for interest, I = prt, Lindsey’s money is earning at a rate of 1.2%. Jenn has earned $3.75 for one year. Her money is earning at a rate of 1.5%, which is a higher interest rate.

Step-by-step explanation: please make me brainliest

The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. In an earlier study, the population proportion was estimated to be 0.38. How large a sample would be required in order to estimate the fraction of people who are captured after appearing on the 10 Most Wanted list at the 90% confidence level with an error of at most 0.03

Answers

Someone else on brainly already answered this question-

I need help for this question, also please shhowthe working out.

Answers

Answer:

Her weekly wage is $1150.

Step-by-step explanation:

It is given that,

Grace spent 16% of her weekly wage on a new bookshelf that cost $184.

We need to find her weekly wage.

Let her weekly wage is x.

ATQ,

[tex]16\%\ of\ x=184\\\\x=\dfrac{184}{16\%}\\\\=\dfrac{184}{\dfrac{16}{100}}\\\\=\$1150[/tex]

So, her weekly wage is $1150.

what’s he length of side a? will give brianliest!!!

Answers

6, it’s the only one that makes since, A and B are WAYYYY too long to be that side and c, 13 would make it longer than both sides and it’s shorter than both sides so d,6 is your answer


HELP ME PLEASE !!! please

Answers

Answer:

(0,0) and (60,0)

Step-by-step explanation:

because they are the points on the x-axis

Explain how to graph 8 is greater than it equal to y

Answers

Answer:

t w e n t y c h a r e c t e r s l o n g

Which Theorem do you use to solve for D?

Answers

Answer:

D + 50 - 20 = 70

D = 70

Step-by-step explanation:

Angle sum property
d + d +50 + d - 20 = 180
3d = 180 - 50 +20
3d = 150
d = 150/3
d = 50

Express -17/8 in decimal form

Answers

Answer:

Its -2.125

Step-by-step explanation:

I hope helps!

16 > 2y - 4 solve for y ​

Answers

Answer: y<10

Step-by-step explanation:

2y<16+4

2y<20

y<10

Answer:

Step-by-step explanation:

Simplifying

16 = 2y + -4

Reorder the terms:

16 = -4 + 2y

Solving

16 = -4 + 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.

16 + -2y = -4 + 2y + -2y

Combine like terms: 2y + -2y = 0

16 + -2y = -4 + 0

16 + -2y = -4

Add '-16' to each side of the equation.

16 + -16 + -2y = -4 + -16

Combine like terms: 16 + -16 = 0

0 + -2y = -4 + -16

-2y = -4 + -16

Combine like terms: -4 + -16 = -20

-2y = -20

Divide each side by '-2'.

y = 10

Simplifying

y = 10

10 -(-6) can someone solve this for me please

Answers

Step-by-step explanation:

1 0 +6 =16

........................

Answer: its 16 :)

Step-by-step explanation: see the negitive sign next the negitive, that means its positiveee

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