Scott filled up his car with gasoline and paid $26.46 for a tank of gas. What is the unit rate of gasoline it he
put 14 gallons of gas in his car?

Answer:

[tex]y=-2x+2[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x=0).

1) Determine the slope (m)

[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (4, -6) and (0, 2):

[tex]m=\displaystyle\frac{-6-2}{4-0}\\\\m=\displaystyle\frac{-8}{4}\\\\m=-2[/tex]

Therefore, the slope of the line is -2. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-2x+b[/tex]

2) Determine the y-intercept (b)

The y-intercept occurs when x=0. We are given that (0,2) falls on the line, so therefore, 2 is the y-intercept. Plug this into [tex]y=-2x+b[/tex]:

[tex]y=-2x+2[/tex]

I hope this helps!

Answer:

y = - 2x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (0, 2 )

m =  =  =  = - 2

The line crosses the x- axis at (0, 2 ) ⇒ c = 2

y = - 2x + 2 ← equation of line

Answer:

Nope

Step-by-step explanation:

This isnt wishlist

Answer:

96?

Step-by-step explanation:

96/6=16 remainder 0

has a 9 in it

2 digit

Answer:

the number is 90

Step-by-step explanation:

It is a two digit number

it has nine

and leaves a remainder 0 when divided by 6

Answer:

its 2500in

Step-by-step explanation:

Answer:

3/16, 3/8, 9/16, 3/4, 7/8

if you convert all this fractions into 16's you'll be able to see that this is the order from least to greatest.

3/8=6/16

3/4=12/16

7/8=14/16

Answer:

ok

Step-by-step explanation:

3/16    9/16    3/8  3/4   7/8

Answer:

tan30°=7/x

[tex] \frac{1}{ \sqrt{3} } = \frac{7}{x } \\ x = 7 \sqrt{3} [/tex]

cos30°=x/y

[tex] \frac{ \sqrt{3} }{2} = \frac{7 \sqrt{3} }{y} \\ \\ 7 \sqrt{3} \times 2 = \sqrt{3} \times y \\ \frac{7 \sqrt{3 } \times 2}{ \sqrt{3} } = y \\7 \times 2 = y \\ 14 = y[/tex]

tell me if it's wrong.

Answer:

∠Y= 120

Step-by-step explanation:

Answer:19

Step-by-step explanation:

both sides are equal

Answer:

The value of n is 6.

Hope you could get an idea from here

Doubt clarification - use comment section.

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

325 pages

90,000 words

Recommended  reading: 200 words/ 1 minute

How many words on each page ?

90,000 words /325 pages ≈ 277 words / 1 page

Now see the picture.

The numbers for the difference I round them to the nearest word.

Answer:

it is blurry

Step-by-step explanation:

Answer:

Red

Step-by-step explanation:

RED:

$27.09 / 7 = $3.87

GREEN:

$14.96 / 4 = $3.74

$3.87 > $3.74

[tex] \frac{(1120 - 0)}{(16 - 0)} = \frac{1120}{16} = 70[/tex]

70 is the slope

Answer:

2318

Step-by-step explanation:

Answer:

Área: 6x2=12, 2x3=6, 10x3=30, 30+6+12=48; área = 48

Perímetro: 10+3+6+2+6+5+2+3+2+3=42; perímetro = 42

Answer:

The 1st problem it is the last graph.

The 2nd problem it should be the first graph.

Answer:

3.)138

4.) 149

Step-by-step explanation:

you add the two inside measures together.

Answer:

3- 42, 4- 137

Step-by-step explanation:

<1+<2+x=180

93+45+x=180

x=180-93-45

x=42

<1+<2+<3=180

43+106+<3=180

<3=180-106-43

<3=31

<3+x=180

43+x=180

x=180-43

x=137

Answer:

120 inches

Step-by-step explanation:

The area for formula is [tex]A=l*w[/tex], where A is area, l is the length, and w is the width.

However, since it's square room, you can just multiply the length times itself. This makes the formula [tex]A=l^{2}[/tex].

Now you can substitute 14,400 for A, since that's the area. this brings us to [tex]14400=l^{2}[/tex]. To solve the equation, just find the square root of both sides.

The square root of [tex]l^{2}[/tex] is l.

The square root of 14400 is 120. (I used a calculator for this.)

(BTW, a square root is the number that can be squared to get to a number. For example, the square root of 25 is 5, because 5 times 5 is 25. The square root of 14400 is 120, because 120 times 120 is 14400.)

Answer:

120 INCHES IS THE SIZE OF THE ROOM.

Step-by-step explanation:

120 is the answer because A(Area) = L(Length) x W(Width)

The area for formula is , where A is area, l is the length, and w is the width.

However, since it's square room, you can just multiply the length times itself. This makes the formula .

Now you can substitute 14,400 for A, since that's the area. this brings us to . To solve the equation, just find the square root of both sides.

The square root of  is l.

The square root of 14400 is 120. (I used a calculator for this.)

(BTW, a square root is the number that can be squared to get to a number. For example, the square root of 25 is 5, because 5 times 5 is 25. The square root of 14400 is 120, because 120 times 120 is 14400.)

Answer:

204 is the correct answer :)

Answer:

A ratio of 1/2 can be entered into the equivalent ratio calculator as 1:2. 2/10 would be 2:10, 3/4 would be 3:4 and so on.

Step-by-step explanation:

Try using a equivalent ratio calculator

Please give thanks :)

Answer:

C.

Step-by-step explanation:

When you transfer 4% into a decimal, it equals 0.04, and p is the cost of a regular pizza, so you subtract 0.04 from p!

Please mark me as brainliest if this was helpful.

Answer:

4/36 and 8/72

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Each of the circles are cut into 1/4 pieces. when we have 9 1/4 pieces, our fraction is 9/4, which simplifies into 2 1/4.

Answer:

the 2x and 1/2x are the slope.(rise over run)

the +2 and -1 are intercepts on the y axis

Step-by-step explanation:

Answer:

5,442,258,370,406 is the answer

Answer:

5 gallons

31.05 dollars

jon

free shipping

Answer:

So do I

Step-by-step explanation:

Answer:

the correct answer is c

Step-by-step explanation: