Answer:
x = 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
3 - 2x = -1.5x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 2x on both sides: 3 = 0.5x
- Divide 0.5 on both sides: 6 = x
- Rewrite: x = 6
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in<em> x</em>: 3 - 2(6) = -1.5(6)
- Multiply: 3 - 12 = -9
- Subtract: -9 = -9
Here we see that -9 does indeed equal -9.
∴ x = 6 is the solution to the equation.
They both have the same rate of change
A) (0,0) and (3,1)
1-0 divided by 3-0
Slope is 1/3
the slope represents the relationship between x and y
b) (6,2) and (-3,-1)
-1-2 divided by -3-6
Slope is 1/3
c) yes, the two triangles represent the same slope as all of the four points used are collinear (on the same line), making all the slopes equal.
The mean book rating will decrease
Add all the numbers together:
5 + 5 + 6 + 7 + 7 + 7 + 7 + 8 + 8 + 8 + 9 + 9 + 10 + 10 + 10 + 10 + 10= 136
divide the total with the total amount of numbers
136/17 = 8
Now add all the numbers again WITH the one
5 + 5 + 6 + 7 + 7 + 7 + 7 + 8 + 8 + 8 + 9 + 9 + 10 + 10 + 10 + 10 + 10 + 1= 137
Divide the total amount with the amount of numbers there are
137/18 = 7.61
7.61 < 8
The mean book rating will decrease by 0.39
hope this helps
