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

Luis is buying flour for his bakery, and he buys 8 sacks of flour for $25.75 each. He also has to pay $36.50 for delivery. How much is Luis paying in total for his flour order? (pls help this is a test)

Answers

for just the flour he would pay 206$ but for the flour and delivery he would pay 242.50$

For the right triangle shown, which of these equations is correct?
1. all answers are correct
2. cos(53) = x/16
3. cos(53) = sin(37)
4. sin(37) = 16/x

Answers

Answer:

3

Step-by-step explanation:

3 because 37° and 53° these sum is 90°.

Answer:

3. cos(53)=sin(37)

Step-by-step explanation:

let y be the third side

cos(53)= adj/hyp

           =y/16

sin(37)=opp/hyp

          =y/16

therefore, sin(37)=cos(53)=y/16

Select the correct answer from the drop-down menu.

need help fast please!​

Answers

Answer:

i think its the first one

Step-by-step explanation:

if u subtract it , then it shouldn't be given a + sign at all

it should stay subtraction

have a good day! :)

plz give me brainliest

Answer: -7x to the seventh power+ x

Step-by-step explanation:

Write the fraction as a decimal

4 -8
11

4 , and 8 over 11


Answers

Answer: 52

Step-by-step explanation:

11×4=44+8=52

Answer:

I'm pretty sure its 4.727

find sq.root of 19.537 by division method?​

Answers

Answer:

4.42 is the answer........

Step-by-step explanation:

Im not sure

-5x + y = -6

7x + 2y = 39

Answers

Answer:

x=3, y=9

Step-by-step explanation:

Mulriplying the first equation by 2 yields -10x+2y=-12.

Subtracting the second equation from this gives -17x=-51, and thus x=3.

Substituting this back into the first equation gives -15+y=-6, and thus y=9.

Help please stat! Brainlist!

Answers

Answer:  11.71 meters per second.

PLZ CORRECT ME IF I AM WRONG thxs and have a lovely day :)

Step-by-step explanation:

What is this? Please answer with an explanation

Answers

At 5 and you do this by setting the inside equal to 0 and solving for x

Answer:

x=9,30............etc

Step-by-step explanation:

if value of x=9 then

the function

value of f(x)=4

if x=30 then value of function f(x)=27

Help me out here pleaseeeeeeeeee

Answers

Just multiply 1/4 times 6

Which graph represents the function f(x)=2.4?

Answers

Answer:

show the graph then we can fingerite out

Step-by-step explanation:

we will have to see the graph then we can see what we are working with

There are 1,800 pastries in a bakery shop. 45% of them are pretzels and the rest are croissants. How many croissants are there?
Group of answer choices

Answers

Answer: There are 990 croissants

Step-by-step explanation:

If 45% of them are pretzels then 55% of the pastries hs to be croissants.

Multiply 55% by the total number of pastries to find the number of croissants.

55% * 1,800 =  990

which expression represents"divide the sum of x and 2 by 4"?

Answers

Answer:

Step-by-step explanation:

pix

6. What are the dimensions of this matrix?

Answers

Answer:

the dimensions will be 2 x 1

Option C is correct option.

Step-by-step explanation:

We need to determine the dimensions of this matrix [tex]\left[\begin{array}{c}2&\sqrt{5} \end{array}\right][/tex]

The dimensions consists of rows and columns in the form. Rows x Columns

In the given matrix the rows are: 2

The columns are: 1

So, the dimensions will be 2 x 1

Option C is correct option.

Solve the equation

1/2 k + 2 = 5 + 5/6 k

a. 2 1/4
b. -9
c. 9
d. -21

Please select the best answer from the choices provided​

Answers

Answer:

1/2k+2=5+5/6k

-3 = 5/6k-1/2k

-3=2/6k

k= -9

Final Answer: [tex]k = -9[/tex]

Steps/Reasons/Explanation:

Question: Solve the equation [tex]\frac{1}{2} k + 2 = 5 + \frac{5}{6}k[/tex]. Please select the best answer from the choices provided​.

[tex]a.[/tex] [tex]2\frac{1}{4}[/tex]

[tex]b.[/tex] [tex]-9[/tex]

[tex]c.[/tex] [tex]9[/tex]

[tex]d.[/tex] [tex]-21[/tex]

Step 1: Simplify [tex]\frac{1}{2}k[/tex] to [tex]\frac{k}{2}[/tex].

[tex]\frac{k}{2} + 2 = 5 + \frac{5}{6}k[/tex]

Step 2: Simplify [tex]\frac{5}{6}k[/tex] to [tex]\frac{5k}{6}[/tex].

[tex]\frac{k}{2} + 2 = 5 + \frac{5k}{6}[/tex]

Step 3: Multiply both sides by [tex]6[/tex] (the LCM of [tex]2, 6[/tex]).

[tex]3k + 12 = 30 + 5k[/tex]

Step 4: Subtract [tex]3k[/tex] from both sides.

[tex]12 = 30 + 5k - 3k[/tex]

Step 5: Simplify [tex]30 + 5k - 3k[/tex] to [tex]30 + 2k[/tex].

[tex]12 = 30 + 2k[/tex]

Step 6: Subtract [tex]30[/tex] from both sides.

[tex]12 - 30 = 2k[/tex]

Step 7: Simplify [tex]12 - 30[/tex] to [tex]-18[/tex].

[tex]-18 = 2k[/tex]

Step 8: Divide both sides by [tex]2[/tex].

[tex]-\frac{18}{2} = k[/tex]

Step 9: Simplify [tex]-\frac{18}{2}[/tex] to [tex]-9[/tex].

[tex]-9 = k[/tex]

Step 10: Switch sides.

[tex]k = -9[/tex]

~I hope I helped you :)~

Try it Create 3 different fractions that are equivalent to 0. Press Check after each one. 0 Fractions equivalent 1 4 0 Incorrect. Make sure both bars are shaded equally Check Previous Activity General (Science - S... P Foundational Math .... Marlon Porter Proje.....​

Answers

Answer:

0/2 0/5 0/10

Step-by-step explanation:

Any legal fraction (denominator not equal to zero) with a numerator equal to zero has an overall value of zero.

Please help solve this​

Answers

Answer: ∞

Step-by-step explanation: First, find the indefinite integral F (x), and then evaluate F (∞)–F(– ∞).

ejt-vokv-opj join to teach​

Answers

Answer:

ive seen this before its not to teach what you think stay away from it

Answer:

i thought this was a different language

Step-by-step explanation:

smh

WILL GIVE AS MUCH POINTS AS I CAN BC THIS IS A THROW AWAY ACCOUNT (Nvrm you guys just ganna cop the points and give me a swamp answer). WILL MARK BRAINLYEST.
1) write the equation

2) Generate at least two ordered pairs


1) Bob sold burgers for $6 and milkshakes for $4. At the end of the day, he made $422.

2) Bob paid a $25 sign-up fee for streaming content, plus $12 per month for his subscription

Answers

Answer:

1 is     6x+4y=422

2 is     (12,25)

i dont think 2 is right im really sorry about that- but im like kinda confident for one. i would also check with someone else tho

Answer:

3fftedvvvte4ffff

Step-by-step explanation:

ggvggrrrvvg

A triangle has side lengths of 13 feet, 18 feet, and 12 feet. What kind of triangle is it?

Answers

Answer:

scalene

Step-by-step explanation:

no sides are the same

34 divided by 523.6




Answer

Answers

Answer:

0.06493506493

Step-by-step explanation:

Answer:

0.064935065

Step-by-step explanation:

find the angle measure of minor arc MP.

Answers

Step-by-step explanation:

Angle at center = 2 * Angle at circumference.

Angle MNP = 2 * Angle MQP = 30°.

Hence the angle measure of minor arc MP is 30°.

Answer:

30 degrees

Step-by-step explanation:

arc measure in degrees is twice the measure of the inscribed angle

Zachary is buying 4 tires for his car. The table shows the prices and the advertised sales for the same type of tire at 4 tire stores.



Based on the advertised sales, at which store will Zachary get the lowest price on 4 tires?​

Answers

Answer:

Zachary is buying 4 tires for his car. The table shows the prices and the advertised sales for the same type of tire at 4 tire stores.

Step-by-step explanation:

At store R, we get the fourth tire for free, if we buy three tires.

Each tire costs $150, so the cost of 3 tires is .

So at store R, we get 4 tires for $450.

At store S, if we buy 4 tires, we pay $70 off for each tire.

Each tire costs $200, so the cost of 4 tires is

If we get $70 off for each tire, we get  for 4 tires.

So at store S, we get 4 tires for

So at store S, we get 4 tires for $520.

Step 2:

At store T, if we buy 4 tires, we pay $200 off the total price.

Each tire costs $175, so the cost of 4 tires is

If we get $200 off the total price, we get  for 4 tires.

So at store T, we get 4 tires for $500.

At store V, if we buy 4 tires, we get 10% of the total price.

Each tire costs $130, so the cost of 4 tires is

If we get 10% off the total price, we get  for 4 tires.

So at store V, we get 4 tires for $468.

Step 3:

So we get 4 tires at store R for $450, we get 4 tires at store S for $520. We get 4 tires at store T for $500 and we get 4 tires at store V for $468.

So Isaiah will get the lowest price on 4 tires at store R.

At store R, we get the fourth tire for free, if we buy three tires.

Each tire costs $150, so the cost of 3 tires is .

So at store R, we get 4 tires for $450.

At store S, if we buy 4 tires, we pay $70 off for each tire.

Each tire costs $200, so the cost of 4 tires is

If we get $70 off for each tire, we get  for 4 tires.

So at store S, we get 4 tires for

So at store S, we get 4 tires for $520.

Step 2:

At store T, if we buy 4 tires, we pay $200 off the total price.

Each tire costs $175, so the cost of 4 tires is

If we get $200 off the total price, we get  for 4 tires.

So at store T, we get 4 tires for $500.

At store V, if we buy 4 tires, we get 10% of the total price.

Each tire costs $130, so the cost of 4 tires is

If we get 10% off the total price, we get  for 4 tires.

So at store V, we get 4 tires for $468.

Step 3:

So we get 4 tires at store R for $450, we get 4 tires at store S for $520. We get 4 tires at store T for $500 and we get 4 tires at store V for $468.

So Isaiah will get the lowest price on 4 tires at store R.

Turn 20% and 0.35 into a fraction ( please I’ll mark you brainlest please hurry )

Answers

20% = 1/5

0.35 = 35/100 but simplified is 7/20

I hope this helps, and Happy Holidays! :)

Help please.....its due today

Answers

Heyyy the error is -X where it happened was they didn’t do -4x-3x which get you -7x it supposed to look like this “2x^2y+xy^2-7x not 2x^2y+xy^2-x

“I hope this help us need anything just come back to me”

16
NOT TO
SCALE
The dagen sboas a circle, centre O.
AB is a chord of length 12 cm.
Vis the mid-point of 43 and OM = 45 cm
Calculate the radius of the circle.

Answers

7.5cm

lets take point K represent lenght from M to perimeter of circle.

r is radius

KM= r-OM= r-4.5cm

now lets draw line from O to A (OA)

we get triangle.

hypotenuse is OA and it equals r(radius)

ab=12 cm. so another side of the triangle (AM) is 12/2=6cm. and the last side of the triangle is 4.5(OM)

use pythaghorean theorem

squares of sides added = square of hypotenuse

20.25+36=r^2(our hypotenuse is radius)

56.25=r^2

r=√56.25=7.5cm

Answer:

The radius of the circle is 7.5 cm

Step-by-step explanation:

Circles and Lines

The figure provided shows a circle with two prominent features: a chord of length 12 cm and a segment from the center to the midpoint of the chord of length 4.5 cm.

We have attached an image with some additional measures to solve the problem.

Note a right triangle is formed with half the length of the chord (6 cm) and the distance from the center to the chord. We are sure the intersection divides the chord into two equal parts because M is its midpoint.

The radius of the circle is the hypotenuse of the triangle of legs 6 cm and 4.5 cm, thus the radius is:

[tex]r=\sqrt{6^2+4.5^2}[/tex]

[tex]r=\sqrt{36+20.25}[/tex]

[tex]r=\sqrt{56.25}[/tex]

[tex]\boxed{r = 7.5\ cm}[/tex]

The radius of the circle is 7.5 cm

Macys is having a sale on all shoes, if I buy a pair of boots that are $125 but are now 30% off what is the sale price of the boots?

Answers

$87.5 because 30% of 125 is 37.5 so 125-37.5 is 87.5

Factorize: Challenge problem:
x^2+19x+78
help :)

Answers

Answer:

(x + 6)(x + 13)

Step-by-step explanation:

Given

x² + 19x + 78

Consider the factors of the constant term (+ 78) whuch sum to give the coefficient of the x- term (+ 19)

The factors are + 6 and + 13 , since

6 ×13 = + 78 and 6 + 13 = + 19 , then

x² + 19x + 78 = (x + 6)(x + 13) ← in factored form

[tex]\bold{ x^2+19x+78 }[/tex]

[tex]\bold{ x^2+13x+6x+78 }[/tex]

[tex]\bold{ x(x+13)+6(x+13) }[/tex]

[tex]\bold{(x+6)(x+13) }[/tex]

What is incorrect About this proof? What needs to be done to correct it?why ?

Answers

I think 3 and 4 are switched. 3 should be side- side-side congruence And 4 should be CPCTC. And in 3rd one it should be triangle ANX equals NBY

instant help guys please,I need this in about ten minutes.
please help I'll give brainiest to correct answer

3*9^1+X=27^-x.find x​

Answers

Answer:

x=0

Step-by-step explanation:

3*9+x=27-x [9^1=9]

27+x=27-x

27-27= x+x

2x=0

x=0

Plz Help!!!
Will Give Brainliest to the First Person that answers!!!

Answers

Answer:

20

Step-by-step explanation:

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