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pychu [463]
3 years ago
13

Create a linear function that has a rate of change of -4 and a solution at (-5,2)

Mathematics
1 answer:
san4es73 [151]3 years ago
8 0

You would use the point-slope equation of y-y₁=mx(x-x₁)

So the rate of change is the slope and equals m, so m=-4

and has a solution at (-5,2) which would be the (x₁, y₁) and then it is just plugging in the numbers

y - (2) = (-4)(x - (-5))

y - 2 = -4 (x+5)

y - 2 = -4x - 20

y = -4x - 18

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3x + 17 + 5x = 7x + 10
Sphinxa [80]

Answer: x=-3

Step-by-step explanation:

First you add 3x+5x cause they are both variables.They equal 8x.

Then you subtract 7x from both sides to get x+17=10

then you subtract 17 from both sides.

you will get x= -3

Hope that helps!

5 0
3 years ago
Read 2 more answers
The equation y-2= 5/4 (x + 8) represents the cost (in dollars) of making your own fruit juice (fluid ounces) a. What is the slop
LekaFEV [45]

Answer:

a. The slope is 5/4

b. The equation in slope and intercept form is y = 5/4·x + 12

c. The base cost of making a fruit juice is $12

Step-by-step explanation:

The equation that gives the cost in dollars of making your own fruit juice is given as follows;

y - 2 = 5/4·(x + 8)

a. The slope = The coefficient of x = 5/4

The slope = 5/4

b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;

y - 2 = 5/4·(x + 8)

y = 5/4·x + 10 + 2

y = 5/4·x + 12

c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12

The base cost of making a fruit juice = $12.

6 0
3 years ago
I need help on this​
luda_lava [24]

Answer:

C. 16

Step-by-step explanation:

First of all, these two angles are corresponding angles, which means that they equal each other. So, the equation here would be: 2x+18= 4x-14.

Step 1- Move the variables to one side.

2x+18= 4x-14

-2x       -2x

18= 2x-14

Step 2- Add 14 to both sides of the equation.

18= 2x-14

+14      +14

32= 2x

Step 3- Divide 2 to both sides of the equation to isolate the variable.

<u>32</u>=<u> 2x</u>

2     2

x= 16

7 0
3 years ago
Read 2 more answers
The question goes like this:
Orlov [11]

Answer:

You have 90 pages left.

Step-by-step explanation:

1/4 × 120 = 30 pages read

Therefore

120- 30

=90 pages left to read

5 0
3 years ago
Read 2 more answers
The side length of each square is 6 units. Find the areas of the inscribed shapes.
kirill [66]

By using subtraction of <em>yellow</em> areas from the <em>entire</em> squares, the areas of the <em>inscribed</em> shapes are listed below:

  1. 18 units
  2. 20 units
  3. 12 units
  4. 12 units

<h3>How to calculate the areas of the inscribed shapes</h3>

The areas of the <em>inscribed</em> shapes can be easily found by subtracting the <em>yellow</em> areas from the square, in order to find the value of <em>green</em> areas. Now we proceed to find the result for each case by using <em>area</em> formulae for triangles:

Case A

A = 6² - 0.5 · (3) · (6) - 0.5 · (3) · (6)

A = 36 - 18

A = 18 units

Case B

A = 6² - 4 · 0.5 · (2) · (4)

A = 36 - 16

A = 20 units

Case C

A = 6² - 0.5 · 6² - 0.5 · 6 · 2

A = 36 - 18 - 6

A = 12 units

Case D

A = 6² - 2 · 0.5 · 6 · 4

A = 36 - 24

A = 12 units

To learn more on inscribed areas: brainly.com/question/22964077

#SPJ1

4 0
2 years ago
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