A car travels 32 miles for each gallon of gas. How many gallons of gas does it need to travel 192 miles?

Answer:

Step-by-step explanation: Find the y-intercept. Write the equation in slope-intercept form. Write an equation of the line that passes through each pair of points. 5. (4, −3), (2, 3)

y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given two points are (2,18) and (5,36).

m=36-18/5-2

=18/3=6

slope of line is 6.

Now we need to find the equation of line passing through (2,18) and (5,36).

We need to find the y intercept.

18=6(2)+c

18=12+c

18-12=c

6=c

So y intercept is 6

The equation of line is y=6x+6

Hence y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

Answer:

- 6

Step-by-step explanation:

- [tex]\frac{1}{2}[/tex] x + 3 ≥ 5 ( subtract 3 from both sides )

- [tex]\frac{1}{2}[/tex] x ≥ 2 ( multiply both sides by  2 to clear the fraction )

- x ≥ 4

Multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity.

x ≤ - 4

The only value from the set which satisfies the inequality is

x = - 6

Answer:

Y = 2

Step-by-step explanation:

if you were looking for y's value

Step-by-step explanation:

=

38.64=9.2h/2

=

38.64=4.6h

=

h = 38.64/4.6

h = 8.4

thats it

The line y = -1 parallel to line y = 6 that passes through the point (-2,-1).

Answer:

Step-by-step explanation:

x = 7/11, y = -16/11

Answer:

= -5

Step-by-step explanation:

1-6=5

1-6

{Subtract the numbers:} 1-6=-5

= -5

Answer: 55% of 180, 12% of 700, and 30% of 260.

Step-by-step explanation:

55% of 180 = 99…

30% of 260 = 78…

and 12% 700 = 84…

Answer:

55% of 180 > 12% of 700 > 30% of 260

Step-by-step explanation:

55% of 180 = 99

30% of 260 = 78

12% of 700 = 84

Answer:

[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]

Step-by-step explanation:

[tex]f(x)=x^2-16[/tex]

To find the inverse of this function, temporarily the f(x) with a y (or whatever else you want) and then solve for the x.

[tex]y=x^2-16\\y+16=x^2\\x=\pm\sqrt{y+16}[/tex]

Now, you can swap the variables again and write the function.

[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]

10101₂ = 1×2⁴ + 0×2³ + 1×2² + 0×2¹ + 1×2⁰

10101₂ = 16 + 0 + 4 + 0 + 1

10101₂ = 21

Here see below

[tex]\\ \sf\Rrightarrow (10101)_2[/tex]

[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]

[tex]\\ \sf\Rrightarrow 1+4+16[/tex]

[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]

Answer:

The slope is 1

Step-by-step explanation:

the formula for finding slope is : y2-y1/x2-x1

2. Subsitute: (1)-(0)/(4)-(3) = 1/1 = 1

Therefore, the slope is 1.

Answer:

[tex] \frac{1}{5} \div 6 = \frac{1}{5} \times \frac{1}{6} = \frac{1}{30} [/tex]

Answer:

1.25 customers / minute

Step-by-step explanation:

To find the unit rate of how many customers came in per 1 minute, just do 15/12 = 1.25

Answer:

x = 27°

Step-by-step explanation:

l ║ m    Given

(x + 72) + (3x) = 180°       If parallel line then same-side angles = 180°

4x + 72° = 180°

 4x = 180° - 72°

 4x = 108°

   x = 108°/4

   x = 27°

Answer:

Look at other page answer is there

Step-by-step explanation:

Answer:

a=19

Step-by-step explanation:

In this equation you want to solve for a

In this case you simply add 6 to 13 because -6 is attached to the a on the left side and you want a on it's own.

a - 6 = 13  

+6       +6       (-6+6 = 0) (6+13=19)

a = 19

Answer:the area is = the length*the width

2x^2-11x+15= (2x-5)* the width

you have to divide 2x^2 - 11 x + 15 at 2x-5

2x^2-11x+15   |  2x-5

-2x*2+5x                 x-3

-------------

/       -6x+15

       +6x-15

-----------------

         /   /

the answer is X-3

Step-by-step explanation:

Answer:

86 & tends to increase

Step-by-step explanation:

Goodluck :)

Answer:

Company B: Using linear regression models from both data sets, she determines that it pays about $10 more.

Step-by-step explanation:

C/3

1.

5 - 3x >= 11

-3x >= 11-5

-3x >= 6

3x <= -6

x <= -6/3

x <= -2

x ∈ (-∞ ; -2]

2.

1 + 3x >= - 5

3x >= -5 - 1

3x >= -6

x >= -6/3

x >= - 2

x ∈ [-2 ; + ∞)

3.

5x + 7 >= 17

5x >= 10

x >= 10/5

x >= 2

x ∈ [2 ; + ∞)

4.

2x + 1 <= 3

2x <= 2

x <= 1

x ∈ (-∞ ; 1]

Good Luck

Answer:

5. Vertical

6. 133°

Step-by-step explanation:

These are vertical angles; Vertical angles are congruent. Therefore, x = 133°.

Answer:

Table B

Step-by-step explanation:

In order for a set of data to represent a function, there must be a pattern. In Table B , you can see that when you add or subtract 3 from the original input -8 (to get -5 or -11), that the values for -5 and -11 are matching. That signals there is a function.

Answer:

  3.006, 3.06, 3.066, 3.6, 10

Step-by-step explanation:

Numbers written in a place-value system are compared left-to-right. If the digits with the same place-value multiplier being compared are the same, then the next digits to the right need to be compared.

The number 10 is the greatest. (None of the others have a digit in the 10s place.)

The number 3.6 is the next greatest. (6 in the tenths place is the largest digit there.)

The number 3.066 follows that, then 3.06.

3.006 is the least.

In order from least to greatest, the numbers are ...

  3.006, 3.06, 3.066, 3.6, 10

Answer:

7/20

Step-by-step explanation:

Answer: if you calculate math yo7 would get 7/20

Step-by-step explanation:

Answer:

it is an open circle on 20.2 and is going to the left

Step-by-step explanation:

I hope this helps :)

Answer:

5

Step-by-step explanation:

just had this question

Answer:

Step-by-step explanation: