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

what is 2x3 - 5x2 - 4x - 25
divided by X - 4

Answers

Answer:

2x² + 3x + 8 + 7/x-4

Step-by-step explanation:

For this problem, we can use synthetic division.

4 | 2 -5 -4 -25

  |      8 12  32

  |_________

    2   3  8   7/x-4

This means the quotient is 2x² + 3x + 8 + 7/x-4.

A chemical company makes two brands of antifreeze. The first brand is 70% pure antifreeze, and the second brand is 95% pure antifreeze. In order to obtain 150 gallons of a mixture that contains 75% pure antifreeze, how many gallons of each brand of antifreeze must be used?

Answers

Answer:

a una vez a respuesta

Step-by-step explanation:

cuando decimal a compra el gallos para cual es suma cuanto vez =150.49875

How to round 13294 to the nearest ten,to the nearest hundred, to the nearest thousand and to the nearest ten thousand

Answers

Answer:

Ten, 13290 Hundred, 13300 Thousand, 13000 Ten Thousand, 10000

Step-by-step explanation: If the number to the right of the number you are rounding lets say 6969 in the tens place 6, to the right of that six is a nine which is larger than 5 (when rounding if a number is 5 and up you round it up if its 4 and lower let it stay the same) so it would be 6970 because everything to the right of it as including the number you are rounding it up/down because of it turs to a zero

what are the coordinates of (4,-3) after a translation 3 units right and 6 units up

Answers

Answer:

(7,3)

Step-by-step explanation:

Complete the proof


Pleassseeee

Answers

Answer:

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

What is the area of the figure below?
8 m
8 m
3 m
12 m
2.
O 96 m
O
76 m 2
72 m 2
86 m 2

Answers

9514 1404 393

Answer:

  86 m^2

Step-by-step explanation:

The figure is equivalent to a rectangle that is 8 m by 12 m, with a triangle cut off. The width of the triangle is (12 m-8 m) = 4 m. The height of the triangle is (8 m-3 m) = 5 m.

Then the figure's area is ...

  A = LW - (1/2)bh

  A = (12 m)(8 m) -(1/2)(4 m)(5 m) = 96 m^2 -10 m^2

  A = 86 m^2

The area of the figure is 86 square meters.

Are the following lines Parallel , Perpendicular or Neither ?

A. 7x - 2y = 6
B. -6x - 21y = 20

Answers

Answer:

Perpendicular it would be I hope it helps anr right

Amy is trying to find a lid for a pot with a radius of 12 inches. How big is the lid?

Answers

Answer:

24 in

Step-by-step explanation:

the radius would be half of the whole amount

Add or subtract.
1/7+5/6

Answers

Answer:

Hi there

Your answer is

41/42

Step-by-step explanation:

To add these, they need to have the same denominator.

1/7 * 6/6 = 6/42

5/6 * 7/7 = 35/42

6/42 + 35/42

=

41/42

41/42 that’s correeeeecto

The ratio table below describes the relationship between grapes and blueberries in a fruit salad.

Fruit Salad
Grapes
(cups)
Blueberries
(cups)
2
0.5
6
1.5
20
5
24
6

Mandie is making 15 cups of fruit salad. What ratio of grapes to blueberries should she use?
9:6
10:5
12:3
14:1

Answers

9514 1404 393

Answer:

  12:3

Step-by-step explanation:

The table entry for ...

  grapes : blueberries = 24 : 6

will give you 15 cups of fruit salad if you divide both numbers by 2.

The ratio Mandie should use is 12 : 3.

Answer:

12.3

Step-by-step explanation:

7 Henri Plans to sell cups of coffe at his school sports event
Henri has a hot water Container that holds 16 litres.
He needs about 200ml of hot water for each cup of coffee
a How many cups of coffee can he make from a full bottle of
water. Hens will charge 80 cents per cup of coffee he hopes
to sell 250 Cups of coffee
How
many
full Containers of water will he use.
How much mony will he make ?​

Answers

Quantity of water with Henri = 16 litres

Quantify of water he will need for one cup of coffee = 200 ml

Number of cups of coffee he can make with a full cup of water :-

[tex] = 16 \: litres \: = 16000 \: ml[/tex]

[tex] = \frac{16000}{200} [/tex]

[tex] = 80 \: cups \: of \: coffee[/tex]

So , Henri can make 80 cups of coffee with one full bottle of water .

Quantity of water needed to make 80 cups of coffee = 16,000 ml

Quantity of water needed to make one cup of coffee :-

[tex] = \frac{16000}{80} [/tex]

[tex] = 200 \: ml[/tex]

So , 200 ml of water is needed to make one cup coffee .

Quantity of water he needs to make 250 cups of coffee :-

[tex] = 200 \times 250[/tex]

[tex] = 50000 \: ml[/tex]

So , Henri needs 50,000 ml of water to make 250 cups of coffee .

Number of water containers he will use :-

[tex] = \frac{50000}{16000} [/tex]

[tex] = 3.125 \\ = 3 \: water \: containers[/tex]

So , Henri will use 3 full water containers to make 250 cups of coffee .

Money charged per one coffee = 8 cents

Money charged for 250 coffees :-

[tex] = 250 \times 8[/tex]

[tex] = 2000 \: cents[/tex]

So , Henri will make 2000 cents if he sells 250 cups of coffee .

Therefore , Henri will use 3 full containers of water to make 250 cups of coffee and he he will make 2000 cents by selling 250 cups of coffee .

−7x − 7y = −14 2x +7y = 19

Answers

Answer:

(-1, 3)

I hope this helps

if you could, feel free to mark me Brainliest it would be much appreciated :D

The answer is (-1, 3)


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

Answers

Answer:

I need a picture or example to answer

Step-by-step explanation:

during a snowstorm snow falls are you concentrating is recorded by material is potato spot in the graph below ​

Answers

Answer:

i-what?

Step-by-step explanation:

what is a dividen in a qoutient?

Answers

Answer:

The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient.

Step-by-step explanation:

Answer:

dividind symbol

Step-by-step explanation:

idk

does anyone know? thank you

Answers

Answer:

option (D)

Step-by-step explanation:

f(1)=2-7=-5

f(2)=4-7=-3

f(3)=6-7=-1

Find the remainder when you divide 28282828282838·28282828282839 by 28.

Answers

Answer:

1.010101e+12

Step-by-step explanation:

28282828282838.28282828282839 / 28

Answer:

The answer to the question is 26.

madeleine can tyep 3 pages in 1 hour how many hours whill it take her to tyep a 123-page report

Answers

Answer:

41 Hours

Step-by-step explanation:

Step 1 - 123 ÷ 3 = 41

Step 2 - 41 • 1 = 41 Hours

Answer:

41

Step-by-step explanation:

3 = 1

123 =

Cross multiple

123×1 /3

= 41

If the area of a circle is 64 ft2. What is the radius of the circle?

Answers

Answer:

4.51

Step-by-step explanation:

Answer:

r=4.51 ft

Step-by-step explanation:

how does the percent equation help solve markup problems i will mark brainliest

Answers

Yo bro bro the answer is 65

Nine more than three times a number is -6 written out please hurry and

Answers

Answer:

It is the number -5. that is the number

Answer:

3 x -5 = -15

-15 + 9 = -6

Step-by-step explanation:

Lara took a total of 10 pages of notes during 2 hours of class. After attending 9 hours of
class, how many total pages of notes will Lara have in her notebook? Solve using unit rates.

Answers

Answer:

45 pages

Step-by-step explanation:

The unit rate is

10 pages /2 hours

5 pages per hour

We have 9 hours

5 pages per hour * 9 hours

45 pages

Answer:

45 pages in 9 hours

Step-by-step explanation:

Divide to find the unit rate of pages per hour.

10/2 = 5 pages per hour

Multiply.

5*9 = 45

Best of Luck!

In an election, Ms. Duval got 534 votes, Mr. Smith got 507, and Mr. Fennig got 88. What percent of the vote did the winner get?

Answers

534+507+88=1,129
534/1,129=0.4729
The winner got 47.3% or 47%


A line has a slope of -3 and passes through the point (-3, 8). What is the equation of the line?
o y=-3x+6
o y--3x+8
o y=bx-
o y=8x-3

Answers

Answer:

y= -3x + 8

Step-by-step explanation:

The table below shows the illuminated percentage of the moon on a lunar cycle of 28 days. The relationship can be described using a cosine function.

A 2-column table with 5 rows. Column 1 is labeled d with entries 0, 7, 14, 21, 28. Column 2 is labeled percent with entries 0, 48, 96, 48, 0.

Use the drop-down menus to complete each statement.

The amplitude of the function is
.

The period of the function is
.

The graph has a vertical shift of
units.

Answers

Answer:

The amplitude of the function is 48

The period of the function is 28

The graph has a vertical shift of   48  units.

Step-by-step explanation:

just took the quiz

Is 21, 28,35 the sides of a right triangle?

Answers

Answer:

yes

Step-by-step explanation:

divide each by 7 =

21/7 = 3

28/7 =4

35/7 = 5

3,4,5 are always a perfect triple, and multiples of 345 are perfect triples as well. Therefore, they are sides of a right triangle.

Plz help this is my last time to turn in everything and plz get the answer right!!


Its letter: H

Answers

Answer:

$37.05

Step-by-step explanation:

12 pointsss !!
What is the domain for the piece of the function
represented by f(x) = x + 1?

Answers

Answer:

[tex]x > 1[/tex]

if you graph

[tex]f(x) = x + 1[/tex]

you'll see that it's that part of graph from x=1 to right and x=1 on this graph is not ncluded so it's x>1

Which of the following variable expressions would represent the area of a rectangle if its length was represented by x+5 and its width was represented by x-2?

x[tex]x^{2} +3x+10\\
x^{2} +3x-10\\
x^{2} -10x+3\\
x^{2} -10[/tex]

Answers

Answer:

B

Step-by-step explanation:

Remember that the area of a rectangle is given by the formula [tex]A=lw[/tex].

We know that the length is [tex](x+5)[/tex] and the width is [tex](x-2)[/tex]. Therefore, the area will be:

[tex]A=(x+5)(x-2)[/tex]

Expand. Use the Distribute Property. This yields:

[tex]A=(x+5)(x)+(x+5)(-2)[/tex]

Multiply:

[tex]A=(x^2+5x)+(-2x-10)[/tex]

Combine Like Terms:

[tex]A=x^2+(5x-2x)-10\\A=x^2+3x-10[/tex]

Therefore, our answer is B.

Use the figure to find measures of the numbered angles.
94°
12
314
Z1 =
22=
23 =
24=0

Answers

angle 2 =94

angle 3=94

angle 1,4=86

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