Write the equation of the line that passes through the points (1, 7) and (5, 15) using function notation.

Answers

Answer 1

Answer:

use the formula for a line through two points

[tex]y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} \times (x - x_{1})[/tex]

plug in the given points:

[tex]y - 7 = \frac{15 - 7}{5 - 1} \times (x - 1)[/tex]

[tex]y = \frac{8}{4} \times (x - 1) + 7[/tex]

[tex]y = 2 \times (x - 1) + 7 \\ y = 2x - 2 + 7 \\ y = 2x + 5[/tex]


Related Questions

Rob made 7 brownies. He put nuts on 1 brownie. ​


​ What fraction of the brownies had nuts?

Answers

Answer:

he put it on one brownie so 1/7

Eight friends divide seven bags of apples equally between them. Enter the division represented by this situation as a fraction.

Answers

Answer:

THERE

Step-by-step explanation:

Answer:

Step-by-step explanation:

let's name the bag of apples "[tex]x[/tex]"

they have 7 bags of apples: 7[tex]x[/tex]

then they need to divide it among 8 people: so each person gets [tex]\frac{7x}{5}[/tex] or [tex]\frac{3}{5} x[/tex]

What system works with the circulatory system to provide oxygen to cells?
Integumentary System
Repertory System
Skeletal System
Digestive System

Answers

Repertory system I believe

Answer:

Step-by-step explanation:

bro im out n can come scoop

Please help asappp. Best answer gets brainly

Answers

Answer:

The last two are the right ones

Step-by-step explanation:

Complete the proof


Pleassseeee

Answers

Answer:

it's ASA because you have 2 angles congruent and a side congruent.

Jay bought a laptopcomputer on sale
for 15% off the original price. If he paid
$170, what was the price of the laptop
computer before the sale?

Answers

Answer:

$200

Step-by-step explanation:

%15 = 0.15

0.15 • 200 = 30

200 - 30 = 170

what is 276,485 rounded to the nearest hundred thousand?plzzzzzz answer

Answers

Answer:

300,000

Step-by-step explanation:

The answer is 300,000
The reason behind this is because a number that is 5 and above should be rounded up and anything 4 and below should be rounded down

please help asap.. 15 points!​

Answers

Answer:

the answer is                                                 b

Step-by-step explanation:

a tank holds 480 gallons of fuel. if it drained at a rate of 120 gallons Per minute, it will be empty in __ seconds

Answers

240 seconds, 60 times 4 is 480. there is 60 seconds in a minute, times that by 4.

Answer:240 seconds

Step-by-step explanation:

3. After 6 weeks, who earned more money? How much more money?

Answers

Step-by-step explanation:

David earns $8 per hour. He works 40 hours each week. How much does he earn in 6 weeks? . After 6 weeks, who earned more money? How much more money?

he would earn 1,680 because if he works 40 hours per week when you divide by 7 cuz there a 7 days in a week he works 5 hours each day. then we multiply 5 with 8 and it's 40 so he earns 40 dollars per day then if week multiply 40 with 7 we get 280 and that's what he earns per week. then I came and tried to figure out how many days are in 6 weeks and I got 42 so then i came and multiplied the hours(5) which then gave me 210 then I multiped that (210) and 8 together and got 1,680

1.Michael earns $9 per hour. He works 28 hours each week. How much does he earn in 6 weeks?

so what i did was divide 28 by 7 the 7 was for the days and the 28 was for the hours so per day he works 4 hours and he earns 36 dollars per day .and then i came to know what the final answer was I came a figured out how many days are in 6 weeks and it's 42 so then I came and multiped the hours with the days which gave me 168  then I multiped that by the amount of money he earns per hour and it gave me 1,512 per 6 weeks


Which equation represents a line that is parallel to the
line shown on the graph?
Piz and ty

Answers

Answer:

[tex]y=\frac{1}{4}(x)+2[/tex]

you can write this as

[tex]f(x)=\frac{1}{4}x+2[/tex]

Step-by-step explanation:

2 points

(-4,1)(0,2)

[tex]y=\frac{1}{4}x+2[/tex] is the equaction of the line thats in the grapj

Why and How I got it?

you had 2 points, so you can using the slope equaction

Rise over run

why is slope important?

using the y incept equactions

y=mx+b, where slope is m

so you get slope you got m

Solve

rise over run

[tex]\frac{2-1}{0-(-4)}[/tex]

so you get

[tex]y=\frac{1}{4}x+b[/tex]

How do you get B?

you plug 1 points in

[tex]-4=\frac{1}{4}(1)+b[/tex]

Hoped this helped ya

<3

Red

Simplify 3y – 5(y + 2)

Answers

Step-by-step explanation:

Hey there!

Given; 3y - 5(y+2).

Multiply 5 and (y+2)

3y - 5y - 10

Simplify to get answer.

-2y -10

Take 2 and (-) common.

-2(y+5)

Therefore, the simplified form is -2(y+5).

Hope it helps...

Answer:

Step-by-step explanation:

3y - 5 ( y + 2)

= 3y - 5y - 2

= -2y -2

Noah is running a portion of a marathon at a constant speed of 6 miles per hour. Make a table to predict how long it would take him to run different distances at that speed, and how far he would run in different time intervals. Use decimal notation.

Answers

Noah is running a portion of a marathon at a constant speed of 6 miles per hour. Make a table to predict how long it would take him to run different distances at that speed, and how far he would run in different time intervals. Use decimal notation.

Please help me with this ! Find x

Answers

The signs show that angle B and angle C are equal so (C^) i s x too. Lets sum them
2x+x+x= 4x
We know that the sum of angles of triangle is 180* so we need to divide it 4 to find x
180/4= 45
X=45
X=45! Hope this helps. You can ask me for a step by step explanation if you want.

translate the problem into a mathematical sentence using e as your variable name.
roy bought 16 CDs in December. of those, 7 were world music the rest were electronic music. how many electronic music discs did he buy?

Answers

Answer:

9

Step-by-step explanation:

Total CD's = 16World music = 7Electronic music = e

The expression and solution:

7 + e = 16e = 16 - 7e = 9

Roy bought 9 electronic music discs

D
Question 2
1 pts
Two people are pushing a car. One person is pushing with a force of 450 N and the
other person is pushing with a force of 300 N. What information is needed to
determine the net force applied to the car by the people?
the direction of the road
the direction of the forces
the weight of the two people
the weight of the automobile

Answers

Answer:

the direction of the road

Step-by-step explanation:

To calculate the net force, we need to know the direction through which the forces are acting.

Are the forces directed towards one another or against each other?

  Net force is a vector sum of forces that acts on a body. It is that single force that can replace two or more forces acting on a body.

If the forces are against each other, we subtract them. If they act on a body together, we add them.

So, without knowing the direction, we cannot calculate the net force.


Evaluate h(x) = -2x +9
when x= -2,0, and 5.
h( - 2) =
h(0) =
h(5)=

Answers

Answer:

[tex] f(-2) = 13 [/tex]

[tex] f(0) = 9 [/tex]

[tex] f(5) = -1 [/tex]

Step-by-step explanation:

Given:

[tex] f(x) = -2x + 9 [/tex]

Required:

Find,

h(-2); h(0), and h(5)

SOLUTION:

Plug in the value of x into [tex] f(x) = -2x + 9 [/tex] in each case as follows:

[tex] f(-2) = -2(-2) + 9 [/tex]

[tex] f(-2) = 4 + 9 [/tex]

[tex] f(-2) = 13 [/tex]

[tex] f(0) = -2(0) + 9 [/tex]

[tex] f(0) = 0 + 9 [/tex]

[tex] f(0) = 9 [/tex]

[tex] f(5) = -2(5) + 9 [/tex]

[tex] f(5) = -10 + 9 [/tex]

[tex] f(5) = -1 [/tex]

The value of h(x) when x= -2,0, and 5 is; 13, 9 and -1 respectively.

The function, h(x) given is; h(x) = -2x +9 .

As such, evaluation of h(x) when x = 2,0, and 5 is as follows;

For x = -2

h(-2) = -2(-2) +9

h(-2) = 4 +9

h(-2) = 13

For x = 0

h(0) = -2(0) +9

h(0) = 0 + 9

h(0) = 9

For x = 5

h(5) = -2(5) +9

h(5) = -10 +9

h(5) = -1

Read more;

https://brainly.com/question/21956070

These algebraic expressions are not equivalent. Explain
why they are not equivalent.
+ 8x – x2 - 6x
2x² – 2x
x2-1 + 8x

Answers

Answer:

If you simplify the first expression, you will not get the second expression. In the first expression, the x2 terms have coefficients of 1 and –1 and, when combined, the result is 0. Also, the x terms have coefficients of 8 and –6 and, when combined, the result is 2. Finally, the constant from the first expression is not in the second expression.

Step-by-step explanation:

Could someone help me solve this? Lines AB and CD are parallel. Enter the measures of the three angles in triangle ABF.

Answers

Answer:

A=43

B=32

C=105


Jessica is shopping at an online store that offers free shipping and doesn't charge her sales
tax. Jessica orders two books for $8.99 each, a video game for $19.99, and three board games
for $11.99 each. She pays for her purchases with a $100 gift card. What is the remaining
balance on her gift card after these purchases?

Answers

The total of all the purchases is $73.94. The remaining balance on the card is $26.06. Hope this helps!

Answer:

$26.05

Step-by-step explanation:

$8.99(2) + $19.99 + $11.99(3) = $73.95 - $100

Hope this helped :)

what is the correct word form for 9.602​

Answers

Answer:

Nine and six hundred two thousandths

Step-by-step explanation:

Hope this helped.

Answer: nine and sixty-two thousandths nine and six hundred two hundredths nine and sixty-two hundredths nine and six hundred two thousandths.

Step-by-step explanation:

2 – 3m < 4 + 5m

A.
m<−14

B.
m>14

C.
m>−14

Answers

Answer:

this answer will be in your book

What are the steps to substract a negative fraction from a positive decimals

Answers

Answer:

Turn the negative fraction into a decimal

Step-by-step explanation:

example:

-1/2=-0.5

Answer:

Subtract the absolute value of the decimal.

Add the negative number to the positive number.

Add the opposite of the negative number to the positive number.

Step-by-step explanation:

hope this helped </3

Can you please help me?

Answers

Answer: 325

Step-by-step explanation:

All your doing is multiplying

Answer:

The answer is 325

Step-by-step explanation:

the problem directly tells me that c(x)= 50x is how many words i can type in x minutes. then proceeds to ask me how many words i can type in 6.5 minutes.

in this case, x=6.5.

substitute and solve!

c(6.5)= 50(6.5)

c(6.5)= 325

according to this function, i can type 325 words in 6.5 minutes.

hope this helps!!

Simplify –(x + 5) + 3x

Answers

The complete answer is 2x-5
-(x + 5) + 3x
-x -5 + 3x
2x -5

The simplified answer is 2x - 5

• One class is selling tickets for $3.50 each and has already raised $250.
• The other class is selling tickets for $2.25 each and has already raised $300.

How many tickets does each class have to sell so that the total amount raised is the same for both classes?

Answers

Answer:

x=40

Step-by-step explanation:

y and z are whole numbers.
y< 70
Z<_60
Work out the largest possible value of y + z

Answers

Answer:

1

Step-by-step explanation:

Let X be an exponential random variable with parameter λ=2 . Find the values of the following. Use 'e' for the base of the natural logarithm (e.g., enter e^(-3) for e−3 ).
a) E[(3X+1)2]=
b) P(1≤X≤2)=

Answers

Answer:

a

[tex]E[(3X+1)^2]= 8.5  [/tex]

b

[tex]P(1 <  X < 2)=0.1170 [/tex]

Step-by-step explanation:

From the question we are told that

   The parameter of  X  is  [tex]\lambda  =  2[/tex]

Generally the expected value of  X is  

    [tex]E(X) =  \frac{1}{\lambda }[/tex]

     [tex]E(X) =  \frac{1}{2}[/tex]

=>  [tex]E(X) =  0.50 [/tex]

Generally we have that

     [tex]E(X^2) =  E(X)^2 + E(X)^2[/tex]

=>  [tex]E(X^2) =  [\frac{1}{2}] ^2 + [\frac{1}{2} ]^2[/tex]

=>  [tex]E(X^2) =  0.5 [/tex]

Generally

    [tex]E[(3X+1)^2]= E(9x^2 + 1 + 6x)[/tex]

=>  [tex]E[(3X+1)^2]= 9E[X^2] + 1 + 6 E[X])[/tex]

=>    [tex]E[(3X+1)^2]= 9* 0.5  + 1 + 6 * 0.5 [/tex]

=>   [tex]E[(3X+1)^2]= 8.5  [/tex]

Generally  

   [tex]P(1 <  X < 2)=  P(X < 2) - P(X < 1)[/tex]

Here  [tex]P(X <  2 ) =  e^{- 2 * \lambda }[/tex]

=>      [tex]P(X <  2 ) =   e^{- 2 * 2 }[/tex]

=>       [tex]P(X <  2 ) =   e^{- 4}[/tex]

and  

    [tex]P(X <  1 ) =   e^{- 1 * \lambda }[/tex]

    [tex]P(X <  1 ) =   e^{- 1 * 2 }[/tex]

    [tex]P(X <  1 ) =   e^{-2 }[/tex]

So

   [tex]P(1 <  X < 2)= e^{-2 } -  e^{- 4} [/tex]

  [tex]P(1 <  X < 2)=0.1170 [/tex]

what
is bigger 2/5 or 0.25

Answers

Answer:

2/5 is bigger

Step-by-step explanation:

2/5 is 0.40

I think 2/5 is bigger than 0.25. 2/5 = 0.4. 0.4 is closest to 1 than 0.25, so 0.4 is bigger.

Which of the following is an equivalent form of the compound inequality-33 > -3x - 6 > -6

Answers

Answer:

9 < x < 0

Step-by-step explanation:

from 0 to 9 i think

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