The graph of a function is a line that passes through the points (1,4), (3,8), and (6,y). What is the value of y?

Answers

Answer 1

Hello there!

There are multiple ways to do this but lets find the equation of the line that passes through those points using the first two points.

First let's find the slope of the line...
(1,4) and (3,8)
(y₂-y₁)/(x₂-x₁)
8-4/3-1
4/2
2

The slope is 2. Now we need to plug in 2 and a point to point-slope form. Choose the point (1,4)
y-y₁=m(x-x₁)
y-4=2(x-1)

Let's put this into slope intercept form...
y-4=2(x-1)
y-4=2x-2
y=2x+2

Now we can plug in (6,y) into the equation. Plug in 6 for x to find y...
y=2(6)+2
y=12+2
y=14

So we have (6,14) as our answer!

I really hope this helps!
Best wishes:)

Answer 2

The value of y according to the given points is; y = 14

Slope of linear functions;

From the first two coordinates; (1,4) and (3,8)

The slope of the line is;.

m = (8-4)/(3-1)

m = 4/2

m = 2

Therefore; similarly;

m = 2 = (y-8)/(6-3)

2 = y-8/3

6 = y -8

Therefore, y = 6+ 8 = 14.

Related Questions

The price of a shirt was $38. It was reduced by 20% and then again by 10%.

a. What is the final price of the shirt?

b. What would the price of the shirt be if it were reduced by 30% from the original?

c. Explain why the two prices in a. and b. differ.

Answers

a) 38*(1-20%)*(1-10%)=27.36
b)38*(1-30%)=26.6
c)Because in question one when you take off the 10% it is 10% of the already off price but when you take off 30% it is taking off from the original price

Answer:

A- The final price of the shirt was $27.36.

B- If it were reduced by 30% from the original price, the price of the shirt would be $26.6.

C- There is a difference between both prices because in the first case, the discount is split, making a first discount on a larger basis, and the second on a smaller basis, already made the first discount.

In contrast, at the second price, the entire percentage is made on the major basis. Therefore, the discount is larger.

Step-by-step explanation:

A- The final price of the shirt is determined by the following calculation:

(38 x 0.8) x 0.9 = FINAL PRICE

38 is multiplied by 0.8 because the price was reduced by 20% (0.2 is the 20% of 1, that is, of a unit. Therefore, the remaining price would be that 0.8 or 80%)

Then, using the same logic, we have to multiply that result by 0.9 in order to get the final price.

Therefore:

(38 x 0.8) x 0.9 = 30.4 x 0.9 = 27.36

B- Here, we would have to multiply 38 x 0.7, which gives a result of 26.6

You invest $5,000 in a savings account paying 4% interest compounded quarterly. How much is in the account after 5 years if there are no withdrawals and no additions to the account?

Answers

1 years is $5200
2 years is $5408
3 years is $5624.32
4 years is $5849.29
5 years is $6083.26

A=P(1+R)TIME
5000(1+0.04)^5
= 6083.264512
NOTE THE 5 IS WRITTEN AS A SQUARE

What's the name of the line segment in the diagram below? A. B. C. D.

Answers

The answer to this question is C. I believe

The answer is B.
The straight line above it represents a line segment. One arrow represents a ray. Two represent an infinite line.
In the diagram, the line/segment ends, which is represented by the two points.

Kayleen left home at noon and drove to boston.she got there at 4:00.if boston is about 280 miles away,what was kayleens average speed

Answers

It took 4 hours for Kayleen to get to Boston, so we do 280/4 = 70 miles per hour.
---
Hope this helps!

70 mph Hope this helps

The base of a square pyramid has side lengths of 9 inches. The height of the pyramid is 21 inches. What is the volume of the pyramid?
A. 189 in3
B. 567 in3
C. 850.5 in3
D. 1701 in3

Answers

The answer is A: 189 in 3

The answer is B
V= a squared h over 3=9 squared times 21 over 3= 567

PLEASE HELP!

Drag a reason to each box to complete this proof.

If 5x-4+13=5 , then x=1/2

Answers

we have that
If (5x-4+13x=5) --------------> then x=1/2
Step 1
let's substitute the value of x = (1/2) in the expression [5x-4+13x] and verify its result
5*(1/2)-4+13*(1/2)
(5/2)-4+(13/2)
(5-4*2+13)/2----------> (5-8+13)/2=10/2=5
then
5=5-----------> the value of x = (1/2) satisfies equality

Ted is installing lighting in a new block of 12 apartments. He will need 60 metres of cable for each apartment. Each new spool holds 100 metres of cable. What is the smallest number of new spools that Ted will need for this job ??

Answers

60 meters per apartment x 12 apartments =720total metes for all 12 apartments 720 meters / 100 meters per spools =7.2 spools so, Ted will need at least 8 spools of cable.

The smallest number of new spools that Ted will need for this job is 8 spools of cable.

Given that, Ted is installing lighting in a new block of 12 apartments. He will need 60 metres of cable for each apartment. Each new spool holds 100 metres of cable.

We need to find the smallest number of new spools that Ted will need for this job.

What are the spools?

A cylindrical device on which film, magnetic tape, thread, or other flexible materials can be wound; a reel.

Now, 60 meters per apartment x 12 apartments =720 total meters for all 12 apartments.

720 meters / 100 meters per spool =7.2 spools

so, Ted will need at least 8 spools of cable.

Therefore, the smallest number of new spools that Ted will need for this job is 8 spools of cable.

To learn more about the smallest number visit:

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suppose F varies inversely with G and that f equals 40 when g equals 5 what is the value of f when g equals 10

Answers

WRITE EQUATIONS....
f = k÷ g (inversely proportional....)
∴ if f= 40 and g= 5 K= (40×5) =200

now that u have k... and given g = 10...u can substitute to find f
f= 200÷10 =20
so f = 20

Final answer:

The value of F when G equals 10 is 20.

Explanation:

The given problem states that F varies inversely with G. In other words, as G increases, F decreases, and vice versa. The inverse variation can be represented by the equation F = k/G, where k is a constant.

We are given that when G = 5, F = 40. To find the value of F when G = 10, we can use the equation F = k/G and substitute the given values.

F = k/5, and when F = 40, we have 40 = k/5. Solving for k, we get k = 40 x 5 = 200.

Now, we can substitute k = 200 and G = 10 into the equation F = k/G. F = 200/10 = 20.

Carl spends 9 hours each day working at her job. what percentage of her day does she spend at work

Answers

They spend 37.5% if their day at work, you need to divide 9/24 then multiply that answer by 100 to find the percentage!

37.5% is the correct answer.

The unit of measure of an area equal to 1 km by 1m

Answers

1km = 1000m is this what are you looking for

1. Could the number 0000 appear in a table of random digits? How likely is this?

Answers

Yes cause it just can

Yes,

probability = favorable outcomes/ total outcomes

to calculate the probability for this to occur, we use nCr ( nCr = n!/r!)

there are total 10 digits

so probability of the number 0000 appear in a table of random digits=

(1*1*1*1)/(10C1 * 10C1 * 10C1 * 10C1)

= 1/10000

Louis,Michelle, and Tonya were asked to find an equation for a function that passed through the points (1,6) and (8,12) Louis gave the function y 6(2)-112 Michelle gave the function y V2)22 Tonya gave the function y-6 3(x-1) Which students are correct?

Answers

Answer: The equation of the line through the points is y - 6 = (6/7)(x - 1).

I am sorry, but you have several typos in your equations, so I can't determine who is correct. Try to match the problems to the equation that I can, so you can determine the correct person.

Tonya seems to be the closest, but her slope is wrong.

What are the side lengths of the rectangle area 40 perimeter 26

Answers

Recall the formula for finding the area of a rectangle:

Area = Length × Width

Recall the formula for finding the perimeter of a rectangle:

Perimeter = 2 ( Length + Width )

Given in your problem:
Area = 40 sq. units
Perimeter = 26 units

Required to solve for:
Length (L) and width (W)

• First, substitute the given to the formula:

Area = Length x Width
  40 = L × W   ⇒ equation number 1

Perimeter = 2 ( Length + Width )
26 = 2 ( L + W ) ⇒ equation number 2

• Simplifying equation number 2,
13 = L + W

• Rearranging the equation,

L = 13 - W ⇒ equation 3

Substituting equation 3 from equation 1:

( equation 1 ) 40 = (L)(W)
( equation 3 ) L = 13 - W
   40 = (13 - W) (W)
40 = 13W - W²
( regrouping ) W² - 13W + 40 = 0
( factoring ) (W - 8) (W - 5) = 0
W - 8 = 0 ; W - 5 = 0
   W = 8 ; W = 5

Therefore, there are 2 possible values for the width of the rectangle. It can be 8 units or 5 units.

• Now to solve for the length of the rectangle, substitute the two values of width to equation 3.

(equation 3) L = 13 - W
for W = 8   ⇒ L = 13 - 8
L = 5 units

for W = 5   ⇒ L = 13 - 5
L = 8 units

Bill is a car salesman he earns $200 for every car he sales plus a 3% commission if Bill sells three cars in one week for a total of $32,343 what are his total earnings for this week

Answers

3 cars earns him $600.

(0.03)*$32,343 = $907.29 commission

total earnings = $907.29 + $600
= $1,507.29

Ty borrowed $500 from his parents.The graph shows how much he owes them each month if he pays back a certain amount each amount each month. How long will it take Ty to pay back his parents?

Answers

if he's paying $50 each month 500/50=10 so it'll take him 10 months

three of the angle measures of a parallelogram are 60°, 120°, and 60°. What is the measure of the fourth angle?

Answers

IF it is a parallelogram then the angles add up to 360 so the last angle would be
360 - 120 - 60 - 60 = 120

120+120=240 360-240=120.

What percent of students ran the mile in 12 minutes or less?

Answers

41% of students ran in 12 minutes or less.

Using the histogram we see that there were 2+12+11+9=34 students that ran. Out of those, 2+12=14 ran in 12 minutes or less (the first two bars).

14/34 = 0.411 = 41%.

Gary’s bathroom measures 12 feet by 4 feet. What is the area of the bathroom floor? A. 28 ft2 B. 44 ft2 C. 48 ft2 D. 96 ft2

Answers

the answer is c
hope this helps

the area is c. 48 ft2

Suppose that 2% of the students in a school have head lice and the test for head lice is accurate 75% of the time. What is the probability that a student in the school has head lice, given that the test came back positive? Round your answer to the nearest tenth of a percent.

Answers

If 2% of the student actually have head lice, but only 75% of that 2% will actually have a positive test result, then your probability of a result coming back positive would 75% of 2% (0.75 x 0.02). The answer is 0.02 chance.

Mrs McDonald used 4 1/4 gallons of water to water her flowers .if she used 1/4 of the water on her flowers daisies , how many gallons of water did she use on the daisies?

Answers

the amount of water she used to water her flowers was 4 1/4 .
she has used 1/4 of this water to water her daisies.
therefore 1/4 of the water she used was to water daisies.
then its 1/4 of 4 1/4.

if we write 4 1/4 as an improper fraction , 4 wholes equal to 16/4 + 1/4 = 17/4. then we have to find 1/4 of 17/4 which is [tex] \frac{1*17}{4*4} = \frac{17}{16} [/tex].
then we can mulitply the denominators by denominators and numerators by numerators. then answer is 17/16.
If we divide 17 by 16 we get 1.0625

she used 1.0625 gallons of water to water daisies

Answer:

1.0625 gallons of water was used by her.

Step-by-step explanation:

Mrs McDonald used [tex]4\frac{1}{4}[/tex] gallons of water to water her flowers.

She used [tex]\frac{1}{4}[/tex] of the water on her flowers daisies.

We have to calculate the gallons of water used by her to water daisies.

Let Mrs McDonald used G gallons of water to water the flowers daisies.

Then one fourth of [tex]4\frac{1}{4}[/tex] = G

[tex]G=(\frac{1}{4}).(\frac{17}{4})[/tex]

[tex]G=\frac{17}{16}=1.0625 gallons[/tex]

Therefore 1.0625 gallons of water she used on the daisies.

what is statistics what is the definition of statistics

Answers

The branch of mathematics that deals with the collection, organization, analysis, and interpretation of numerical data.

Final answer:

Statistics is a branch of mathematics dealing with data collection, analysis, interpretation, and presentation, consisting of two main types: descriptive and inferential. Statistical models use probability distributions to describe expected behaviors and variability within observations.

Explanation:

About Statistics

The field of statistics is an essential discipline within mathematics that entails the collection, analysis, interpretation, and presentation of data. In our daily lives, we encounter data in various forms, which can be meticulously examined and understood through statistical methods. Two main types of statistics exist: descriptive statistics and inferential statistics. Descriptive statistics summarize and describe the features of a specific data set, providing a way to visualize data through graphs, charts, and summary measures like the mean and standard deviation. On the other hand, inferential statistics allow us to make predictions or inferences about a population based on a sample of data.

Statistical models are used to describe phenomena, utilizing probability distributions to account for the expected behavior and variability of observations. When researchers collect data, they often use a random sample to represent the larger population. A statistic is a numerical characteristic derived from the sample that helps estimate the corresponding population parameter, which is a characteristic of the entire population.

Statistics and probability are intertwined; as we gather and inspect data, we use statistical tools to distinguish good data from bad and create accurate predictions. Properly understanding and applying statistics can lead to more informed decisions in science, business, policy-making, and virtually every other field where data is essential.

JEWELRY is to FILIGREE as ____ is to ____?
A. Music is to din
B. Clothing is to lace
C. Cyclone is to vortex
D. Forest is to tree
E. Ice cream is to flavor

Answers

B clothing is to lace

Final answer:

The correct answer is B. Clothing is to lace. The analogy asks to draw a comparison between an object and a characteristic of that object, so filigree is to jewelry as lace is to clothing.

Explanation:

The correct answer is B. Clothing is to lace. This analogy asks you to draw a comparison between an object and a characteristic or feature of that object. In the case of 'JEWELRY is to FILIGREE', filigree is a detailed, intricate design often found in jewelry. Similarly, in 'Clothing is to lace', lace is a material often found in clothing and contributes to the design or style of the clothing piece, much like filigree does for jewelry.

Learn more about English Analogies here:

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Jeremy and Caitlin collect baseball cards. the ratio of Jeremy’s cards and Caitlin’s cards was 9 to 3. After Jeremy gave 12 carss to Caitlin, they had an equal number of cards. How many cards did Caitlin and Jeremy have at first? Explain.

Answers

you didnt say this right can you give better sentences please

Round 129.392 to the nearest ten,one,tenth,and hundredth. I need help plz

Answers

nearest ten=130
nearest one=129
nearest tenth= 129.4
nearest hundredth= 129.39

Helppppppppppppppppppp

Answers

Hey there! :D

Remember that the question said estimate.

So

47% rounds to 50%

.5 and 1/2 are equal to 50%

89 rounds to 90.

You could say that:

1/2*90

0.5*90

90/2

These will all work and will give you the same answer.

I hope this helps!
~kaikers

Hi!

To get a good estimate you would round 47% up to 50% and 89 up to 90. Since 50% is half, making one of your answers divide 90 by 2.

You can also round 47% to 50% and make it into a decimal, so .5. This means you can also multiply .5 by 90.

Lastly, you can round 47% to 50% and make it a fraction, which would be 1/2. Therefore, you can multiple 1/2 by 90 and get the same answer.

Overall, the correct answers should be A, B, and D.

Hope this helps!

solve and express the solution set in simplest form. 6x-1/5=3/1

{8/3}

{5/2}

{3/2}

{5/3}

plz help...

Answers

Follow the steps below:

Final answer:

The question appears centered around solving an equation or a system of equations to find values of variables in their simplest form. Strategies include simplification, elimination, substitution, or using matrices, depending on the equation's complexity.

Explanation:

The question seems to have a typo or confusion in presenting the equation properly. However, based on the context provided later in the information, solving equations and finding solutions in simplest form appears to be the central theme. When solving equations or systems of equations, the goal is to isolate the variable (for a single equation) or to find the variable values that satisfy all equations (for a system). This process often involves steps like simplifying equations, eliminating variables, and utilizing methods like substitution, elimination, or using matrices.

For simpler equations, like in the form of ax + b = c, you would solve for x by isolating it: x = (c - b) / a. When dealing with systems of equations, each equation provides a piece of the puzzle, and solving them together reveals all variable values that satisfy the system. The strategy often depends on the complexity and format of the equations involved.

The mentioned solutions, x = 3 and x = -7, imply that the problem revolves around finding specific values that satisfy a given equation or system. To confirm these solutions, one would substitute them back into the original equations to ensure they do not violate any of the given conditions. This step is crucial to validate the results of the solving process.

Keisha has a rug in the shape of a rectangle that she wants to put in her bedroom. The rug has an area of 6 square meters. She wants to see if it will fit in the space she has in her bedroom. If the rug has a height of 2.5 meters, what is the base of the rug? The rug has a base of ____meters.

Answers

Given is a rectangular rug that she wants to put it in the space of her bedroom.

Given is the area of the rug = 6 square meters.

Also the height of the rug is given = 2.5 meters.

It says to find the base of the rug, let's assume base = B meters.

We know the formula for area of the rectangular shape is given as follows :-

Area = Base x Height

6 square meters = B meters x 2.5 meters

[tex] B = \frac{6}{2.5} =\frac{60}{25} = 2.4 \;meters [/tex]

Hence, the base of the rug = 2.4 meters.

Answer:

2.4 meters. is the answer

Step-by-step explanation:

What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 5.5? A rectangle is shown. The length of the rectangle is labeled as 8 cm, and the width is labeled as 6 cm. Perimeter = 50 cm, area = 155.25 cm2 Perimeter = 50 cm, area = 1,452 cm2 Perimeter = 154 cm, area = 155.25 cm2 Perimeter = 154 cm, area = 1,452 cm2

Answers

The perimeter of the rectangle is by definition:
P = 2W + 2L
Where,
W: width
L: long
We have then:
P = 2 (5.5 * 6) +2 (5.5 * 8)
P = 154 cm

The area of the rectangle is by definition:
A = (W) * (L)
Where,
W: width
L: long
We have then:
A = (5.5 * 6) * (5.5 * 8)
A = 1452 cm ^ 2

Answer:
Perimeter = 154 cm, area = 1,452 cm2

Answer:

the answer is 154 cm, area = 1,452 cm2 I took the test

Step-by-step explanation:

Find the length of side AB in the right triangle shown.

Answers

Side AB is 72 cm long.

Explanation:

To find the length of side AB you have to use this formula:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

*Remember there are two legs (a and b) and a hypotenuse (c) on a triangle. The longest side will be the hypotenuse and the other two will be the legs. For this triangle the hypotenuse is side BC while the legs are sides CA and side AB.

Plug in the numbers into the equation.

[tex] {65}^{2} + {b}^{2} = {97}^{2} [/tex]
For this triangle, you were given the hypotenuse (c) and one leg (a). To find the last length solve the equation and balance it so only b is left, like this:

[tex]4225 + {b}^{2} = 9409[/tex]

[tex]9409 - 4225 = 5184[/tex]

Soo...

[tex] {b}^{2} = 5184[/tex]

Then to get the side length, square root 5184.

[tex] \sqrt{5184} = 72[/tex]

So the length of the last side is 72 cm.

Answer:

Step-by-step explanation:

Compare the volumes of the rectangular prisms shown below. Which of the containers will hold more, X or Y? In your final answer, include all of your calculations.

Answers

X will be your answer because 6X3X7=126=X 11X2X5=110=y, X>Y. Brainliest?

The volumes of the rectangular prism 'X' (126 cu.cm.) is greater than the volumes of the rectangular prism 'Y' (110 cu.cm.).

What is the volume of the rectangular prism?

[tex]V=l\times w\times h[/tex]

where, 'l' be the length of the rectangular prism,

'w' is the width of the rectangular prism,

'h' is the height of the rectangular prism

For given question,

We have been given two rectangular prisms 'X' and 'Y'.

The dimensions of the rectangular prism 'X',

[tex]l=7~cm,w=3~cm,h=6~cm[/tex]

Using the formula for the volume of the rectangular prism,

[tex]\Rightarrow V=l\times w\times h\\\\\Rightarrow V=7\times 3\times 6\\\\\Rightarrow V=126~cu.cm.[/tex] ...................(i)

The dimensions of the rectangular prism 'Y',

[tex]l=5~cm,w=2~cm,h=11~cm[/tex]

Using the formula for the volume of the rectangular prism,

[tex]\Rightarrow V=l\times w\times h\\\\\Rightarrow V=5\times 2\times 11\\\\\Rightarrow V=110~cu.cm.[/tex] ...............(ii)

From (i) and (ii),

the volume of the rectangular prism 'X' is greater than the volume of the rectangular prism 'Y'.

Therefore, the volume of the rectangular prism 'X' (126 cu.cm.) is greater than the volume of the rectangular prism 'Y' (110 cu.cm.)

Learn more about the volume of the rectangular prism here:

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