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olchik [2.2K]
3 years ago
6

Fill in the missing equation

Mathematics
1 answer:
Valentin [98]3 years ago
7 0
Start with y=mx+b 

B is your y intercept 
m is your slope 

The points you have are (-1,4) and (1,-2) 
To find the slow you Do Y2-Y1/X2-X1 
(-2-4)/ (-1-1)
-6/-2 
your m is 3 

Now you go back to the equation of a Line y=mx+b 
to find b (your y intercept) take on of the two points, and substitute it's y value in the equation Let's take (1,-2) 

Y=mx+b
-2=3(1)+b 
-2=3+b 
b=-5 

you now know that 
b=-5
m=3x 

The equation is 
y=3x-5
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1.) You go skiing on one route with an equation = 2 + 4 and then
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The best information that describes your routes is the second route was steeper than your first, and the second route was higher up the mountain.

<h3>What is the slope of a linear equation?</h3>

The slope of a linear equation is the change in the rise over the run. So, the slope of a linear equation shows that the larger the slope, the steeper the line becomes.

From the given information:

y = 2x + 4  --- (1)

y = 4x + 1  --- (2)

Using the slope-intercept formula:

y = mx + b

  • m = slope
  • b = y-intercept

From the first equation, the slope is 2 and in the second equation, the slope is 4.

Therefore, we can conclude that the second route was steeper than your first, and the second route was higher up the mountain.

Learn more about the slope of a linear equation here:

brainly.com/question/1884491

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3 0
2 years ago
Given f(g(x)): find f(g(4))
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Answer:

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Step-by-step explanation:

Hi there!

First, find g(4). Notice how on the first given table, when x=4, g(x)=9. Therefore, g(4)=9.

Then, find f(9). Notice how on the second given table, when x=9, f(x)=0.

Therefore, f(g(4)) is equal to 0.

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Solve the problem <br> ( Show your work )<br><br> 2x + 10 =- 4x – 9
Vsevolod [243]

Answer:

x = -19/6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

2x + 10 = -4x - 9

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Add 4x on both sides:                    6x + 10 = -9
  2. Subtract 10 on both sides:             6x = -19
  3. Divide 6 on both sides:                  x = -19/6

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    2(-19/6) + 10 = -4(-19/6) - 9
  2. Multiply:                               -19/3 + 10 = 38/3 - 9
  3. Add/Subtract:                      11/3 = 11/3

Here we see that 11/3 does indeed equal 11/3.

∴ x = -19/6 is the solution to the equation.

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