What is the slope of the line?

The value of the computer decreases by $800 per year.

A linear equation is given by:

y = mx + b

where y, x are variables, m is the rate of change, b is the initial vale of y (y intercept).

Let y represent the cost of the computer and x represent the years after 2018.

A computer was purchased for $3200 in 2018. It is represented by the point (0, 3200). Also, in  2020 the computer was worth $2000, it is represented by the point (2, 2000). Hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3200=\frac{2000-3200}{2-0}(x-0)\\\\y-3200=-800x\\\\y=-800x+3200[/tex]

Therefore the value of the computer decreases by $800 per year.

Find out more at: https://brainly.com/question/13911928

A linear relationship will always decrease or increase at a constant and uniform rate.

Part 1

(a) The linear equation

In 2018, the value is $3200

In 2020, the value is $2000

Let the number of years since 2018 be x, and the value be y

So, we have the following representation

[tex]\mathbf{(x,y) = (0,3200) (2,2000)}[/tex]

Start by calculating the slope (m)

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

So, we have:

[tex]\mathbf{m = \frac{2000 - 3200}{2 - 0}}[/tex]

[tex]\mathbf{m = \frac{- 1200}{2}}[/tex]

Divide

[tex]\mathbf{m = - 600}[/tex]

The equation is then calculated as:

[tex]\mathbf{y = m(x -x_1) +y_1}[/tex]

So, we have:

[tex]\mathbf{y = -600(x -0) +3200}[/tex]

[tex]\mathbf{y = -600x +3200}[/tex]

Hence, the linear equation is [tex]\mathbf{y = -600x +3200}[/tex]

(b) The estimated value in 2022

In 2022, x = 4

So, we substitute 4 for x in the linear equation

[tex]\mathbf{y = -600x +3200}[/tex]

[tex]\mathbf{y = -600 \times 4 +3200}[/tex]

[tex]\mathbf{y = 800}[/tex]

Hence, the value in 2022 is $800

Part 2

The estimated value in 2024

In 2024, x = 6

So, we substitute 6 for x in the linear equation

[tex]\mathbf{y = -600x +3200}[/tex]

[tex]\mathbf{y = -600 \times 6 +3200}[/tex]

[tex]\mathbf{y = -400}[/tex]

Hence, the value in 2024 is -$400

This value does not make sense, because the value cannot be negative

Read more about linear equations at:

https://brainly.com/question/14323743

[tex]\text{Given that,}\\\\(x_1,y_1) = (2, 3) ,~~~ (x_2,y_2) =(-2,-5)\\\\\\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 - x_1} = \dfrac{-5-3}{-2-2} = \dfrac{-8}{-4} = 2\\\\\\\text{Equation with given points,}\\\\y - y_1 = m(x-x_1)\\\\\implies y -3 = 2(x -2)\\\\\implies y -3 = 2x -4\\\\\implies 2x -y = 1[/tex]

Answer:

x = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

-3(x + 2) = 16 - x

Step 2: Solve for x

Answer:

2

Step-by-step explanation:

The scale factor between the two shapes is 2 because when you look at the number between the two triangles, 6/3 is 2 and 20/10 is also 2.

Answer: x = 1 and x = -1

Answer:

  c = 10

Step-by-step explanation:

For quadratic

  y = ax^2 +bx +c

the y-intercept is c.

  c = 10

_____

The y-intercept is the value of y when x=0. Using x=0 reduces the equation to ...

  y = c

Answer:

They are similar

Step-by-step explanation:

If a triangle has the same two angle as another one it means that they are similar triangles. this is because all triangles have 180 degrees shared between all of the angles in them. that is the case for these triangles.

hope this helps!

Answer:

i think d

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

Since the sides are the same, the base angles must be the same

8x+2 = 10x-16

Subtract 8x from each side

8x+2-8x =10x-16-8x

2 = 2x-16

Add 16 to each side

2+16 = 2x-16+16

18 =2x

Divide by 2

18/2 =2x/2

9 =x

Answer:

It is C

Step-by-step explanation:

Khan Academy I use it trust me

Answer:

a=99

Step-by-step explanation:

The answer is 99 square meters. I took this quiz, so I know the answers. I hope you get a good grade!!

Answer:

[tex]( < 1) + 127 = 180(straight \: line) \\ < 1 = 53 \\ \\ ( < 1) + 100 + ( < 2) = 180(triangle) \\ 53 + 100 + ( < 2) = 180 \\( < 2) = 180 - 153 \\ = 27 \\ \\ [/tex]

[tex]75 + ( < 1) + ( < 2) + ( < 3) = 180 \\ 75 + 53 + 27 + ( < 3) = 180 \\ ( < 3) = 180 - 155 \\ ( < 3) = 25[/tex]

[tex]( < 3) + ( < 4) + 75 = 180 \\ 25 + ( < 4) + 75 = 180 \\ ( < 4) = 180 - 100 \\ ( < 4) = 80[/tex]

Answer:

900

Step-by-step explanation:

12 * 3 * 5 * 5 = 900

900

4/3=1.3 repeating

1.3repeatingx9= 12/9

Answer:

Just Multiply L×B And you'll get it

And if you want me to solve then give a image!

Hope its helps!

Answer:

(-7) × (-8)

Step-by-step explanation:

(-4) × (-6) = 24

(-6) × (-7) = 42

Answer:

draw a circle, and draw the degrees

Step-by-step explanation:

Answer:

  -30%

Step-by-step explanation:

The percentage change in length is given by ...

  percent change = ((new length) -(original length))/(original length) × 100%

  = (51.29 -73.3)/73.3 × 100%

  = -22.01/73.3 × 100% = -0.30027 × 100%

  = -30%

The decrease in the length of the spring was 30%.

Answer:

30

Step-by-step explanation:

because divide

Answer:

[tex] \frac{1}{3} (x - 6) = 16) \times 3 \\ x - 6 = 3 \times 16 \\ x = 48 + 6 \\ \color{yellow} \boxed{ x = 54}[/tex]

Answer:

x=54

Step-by-step explanation:

i used a app its great and best for these types of questions

Answer:

2, last

Step-by-step explanation:

1.

The divisibiliy by 9 rule is that if the sum of all digits is divisible by 9 then the number is divisible by 9.

? + 1 +2 +5 +8  = ? + 16

what number is

-greater then 16

-the closest to 16 and divisible by 9

18 so ? = 2 because 2+16 = 18

2 + 1 +2 +5 +8  = 18

18 is divisible by 2 so 21,258 is divisible by 9

2.

The factors of 60 are 1,2,3,4,5,6,10,12,15,20,30,60 because all of those numbers you can multiply by another and the answer will be 60.

1*60 = 60; 2*30 = 60; 3*20=60; 4*15= 60; 5*12= 60; 6*10=60.

Answer:

see explanation

Step-by-step explanation:

(7)

∠ RPS + ∠ QPR = ∠ QPS , substitute values

8x + 7 + 9x + 16 = 40 , that is

17x + 23 = 40 ( subtract 23 from both sides )

17x = 17 ( divide both sides by 17 )

x = 1

Answer:

Sodas = 148

Hot dogs = 93

Step-by-step explanation:

Let S and H stand for the number of Sodas and Hot dogs, respectively.

We are told that:

H + S = 241

We are also told that:

S = H + 55

Use the second expression for S (H+55) in the first equation:

H + S = 241

H + (H+55) = 241

2H + 55 = 241

2H = 186

H = 93

Since H = 93,

S = 93+55, or 148

148 + 93 = 241  [Checks]

Sodas = 148

Hot dogs = 93

Step-by-step explanation:

option A is correct answer

Answer:

Should be C if not then A

Step-by-step explanation:

Using proportions, it is found that Talisa's error was at calculating the cost per minute of the game.

In the function:

Talisa's expression is given by:

[tex]f(x) = 12x[/tex]

The cost of using a game facility is $1 for every 12 minutes, hence, the cost per minute is:

[tex]c = \frac{1}{12}[/tex]

And the correct expression for the cost is:

[tex]f(x) = \frac{x}{12}[/tex]

Hence, it can be seen that Talisa's error was at calculating the cost per minute of the game.

A similar problem is given at https://brainly.com/question/24372153

Answer:

One Solution

x = -9/2

Step-by-step explanation:

Answer:

c = 58, d = 50

Step-by-step explanation:

c = 180 - 50 - 72 = 58

d = 180 - 72 - 58 = 50

Answer:

C = 58

D = 50

Step-by-step explanation:

C is 58 as all angles on a straight line add up to 180 degrees

D is 50 as all angles within a triangle add up to 180 degrees

(72+58 = 130, 180-130 = 50)

The discount is 486.

The discount will be:

= 3240 - 2754

= 486

Answer:

32+6w=x

Step-by-step explanation:

Johan already has the 32

he is adding 6 every week which gives you the total-x

if it was two weeks, 32+6(2)= 32+12=44

Answer:

x=1.5

Step-by-step explanation:

7x-5=10-3x <=>7x+3x=10+5 <=> 10x=15 <=> x= 3/2 = 1.5

ok done. Thank to me :>