Averages Question please help!

Answer:

y = 235x + 15

Step-by-step explanation:

Equation of a Line

The equation of the line in slope-intercept form is:

y=mx+b

Where:

m = slope  

b  = y-intercept.

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

We are given 3 points and we must provide the equation of the line that passes through them all in slope-intercept form.

Selecting the points (4,955) and (7,1660) we can calculate the slope of the line by using the formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\displaystyle m=\frac{1660-955}{7-4}=\frac{705}{3}=235[/tex]

Now we use the point-slope equation with the first point (4,955):

y - 955 = 235 ( x - 4 )

Operating:

y - 955 = 235x - 940

y = 235x - 940 + 955

y = 235x + 15

The third point (10,2365) should pass through this line. To verify, substitute:

2365 = 235(10) + 15 = 2350 + 15= 2365

Since the identity is true, the equation is correct:

Answer:

y = 235x + 15

Answer:

A

Step-by-step explanation:

Answer:

50 miles

Step-by-step explanation:

Step one

given data

let the total charge be y and the number of miles be x

Option A charges $20 per day

plus $0.10 per mile.

y= 20+0.1x---------------1

Option B charges $0 per day,

but $0.50 per mile

y= 0.5x---------------2

equate 1 and 2 we have

20+0.1x=0.5x

20=0.5x-0.1x

20=0.4x

divide both sides by 0.4

x= 20/0.4

x=50 miles

Answer:

A: (2,5)

B: (4,8)

C: (8,6)

Answer:

Vertex - (2,1)

minimum

Step-by-step explanation:

minimum y≥1

Answer:

no

Step-by-step explanation:

Answer:

i believe your answer is correct

Step-by-step explanation:

Answer:

x = 30.96

Step-by-step explanation:

tan θ = opposite / adjacent

tan θ = 12/20

tan θ = 0.6

[tex]tan^{-1}[/tex](0.6) = 30.96

Step-by-step explanation:

Area of rectangle =height×base

4 1/2×3 3/7=9/2×24/7=216/14=15 6/14=15 3/7

Answer:

b, c, d & e is the answer

Step-by-step explanation:

Answer:

D equals 414

Step-by-step explanation:

414 is correct because to check do 414 divided by 3 to equal 138

MARK ME AS BRANLIEST

Answer:

its 414 because if you multiply 138 and 3 you get 414 then if you divide 414 and 3 you get 138

Step-by-step explanation:

Answer:

well if ur looking for r, then r=1 hope dis helps

Step-by-step explanation:

4r-2r=5-3r

combine like turms

2r=5-3r

+3r   +3r

5r=5

/5    /5          5/5=1

R=1

think about brinlist thank you

Answer:

a) (2,4)

Step-by-step explanation:

it's where the points meet

Answer:

Step-by-step explanation:

C

Answer: -2m2 -m - 10

Step-by-step explanation:

(-5m2 - 8) - (-3m2 + m + 2)

Everything is behind the (-) when you have a parenthesis chang the sign so and let the () so will be

-5m2-8 +3m2 - m -2

Now you are going to add or subtract numbers for the one the same letter ( base) and for the one that don't have a other letter (base) you will let it like this so will be

-5m2 + 3m2 = -2m2

-8 -2 = -10

-2m2 - m - 10

Hope helps

[tex]y = mx + b[/tex]

where m = slope and b = y-intercept.

We have both given slope and y-intercept. We can simply substitute the given slope and y-intercept in slope-intercept form.

Substitute m = -1 and b = - 5 in the equation.

[tex]y = - 1x - 5 \\ y = - x - 5[/tex]

We don't usually write 1x or -1x instead we write -x or x.

[tex]y = - x - 5[/tex]

Answer:

-0.123

Step-by-step explanation:

...............

Answer: [tex]4 \frac{4}{9}[/tex]

Step-by-step explanation:

Answer:

I would be y

Step-by-step explanation:

sorry if it is wrong

Answer:

[tex]\huge\boxed{slope=-\dfrac{7}{11}}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

[tex]m[/tex] - slope

[tex]b[/tex] - y-intercept

We have the equation in the general form [tex](Ax+By+C=0)[/tex].

Convert to the slope-intercept form:

[tex]7x+11y-2=0[/tex]    subtract 7x from both sides

[tex]11y-2=-7x[/tex]     add 2 to both sides

[tex]11y=-7x+2[/tex]     divide both sides by 11

[tex]y=-\dfrac{7}{11}x+\dfrac{2}{11}[/tex]

The general form of an equation of a line:

[tex]Ax+By+C=0[/tex]

The slope:

[tex]m=\dfrac{-A}{B}[/tex]

We have

[tex]7x+11y-2=0\\\\A=7;\ B=11;\ C=-2[/tex]

Substitute:

[tex]m=\dfrac{-7}{11}=-\dfrac{7}{11}[/tex]

Answer: 3.1p - 8.37

Step-by-step explanation:

To find the solution, you need to distribute 3.1 to each of the values within the parenthesis (p and -2.7, respectively).

3.1 x p = 3.1p

3.1 x -2.7 = -8.37

Combine components

3.1p - 8.37

Answer:

s could be 3

Step-by-step explanation:

Answer:

The equation of the cost is C = 50h + 15

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

∵ A plumber charges 15 per service call

→ That means there is a fixed amount of 15

∵ b is the constant amount

∴ b = 15

∵ It charges 50 per hour

→ That means, the rate of change is 50

∵ m is the rate of change

∴ m = 50

∵ C is the cost for h hours

→ Replace y by C and x by h in the form of the linear equation above

∴ C = m h + b

→ Substitute the values of m and b in the equation

∵ C = 50h + 15

∴ The equation of the cost is C = 50h + 15

Answer:

how many hours will she need to work in order to have enough money to go to the fair with her friends? $60/$7.5/h = 8h

Step-by-step explanation:

Answer:

8 hours

Step-by-step explanation:

60=7.50x

60 will represent how much money she needs to earn.

x= number of hours Paige needs to work

[tex]\frac{60}{7.50} =\frac{7.50x}{7.50}[/tex]

[tex]x=8[/tex]

Paige needs to work 8 hours in order to have enough money to go to the fair with her friends.

Answer:

I'm pretty sure the answer is B

Answer:

Step-by-step explanation:

Two lines are perpendicular if the product of theirs slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇒    m₁×m₂ = -1

y = -1/3x + 7   ⇒   m₁=-1/3

-1/3×m₂ = -1        ⇒    m₂ = 3

The y-intercept is b=-1 so the equation in  slope-intercept form:

                                                y = 3x - 1

Answer:

isosceles

Step-by-step explanation:

Answer:

An isosceles

Answer:

2. is the correct one

Step-by-step explanation:

4x-3x^3+2

Answer:

-x^3-4x-2

step by step

Answer:

angle 1 = 100 degrees

angle 2 = 53 degrees

Step-by-step explanation:

diagonals of a rhombus bisect angles so angles 2 and 3 are both 53

angle 1 can be found by adding 37 and 53 and deducting that sum from 180