The opposite of the number 0 that is -0 on the number line will be equal to 0 itself.
A number line may be defined as a scale consisting of numbers labelled from 0 to 9 which are used to plot or mark different points for various entities. Number line extends from 0 to 9 in the positive side that is usually taken as right-hand side and it extends from 0 to -9 in the negative side that is usually taken as the left-hand side. The numbers on the right-hand side of number line have their opposites on the left-hand side. The opposite of a number x is taken as -x. For example, the opposite of 4 is taken as -4 and 4 lies on right-hand side whereas -4 lies on left-hand side. 0 lies on the center of number line and is taken as the main point. It is neither positive nor negative so the opposite of 0 is 0. The figure of number line is attached.
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Factored Form:
x^2 - 4x - 5
Simplifying:
x^2 + - 4x + - 5 = 0
Reorder the terms:
- 5 + - 4x + x^2 = 0
Solving for variable " x":
Subproblem 1:
Set the factor ( - 1 + - 1x) equal to Zero and attempt to solve.
Simplifying:
- 1 + - 1x = 0
Solving:
- 1 + - 1x = 0
Move all terms containing x to the left, all other terms to the right
Add 1 to each side of equation:
- 1 + 1 + - 1x = 0 + 1
Combine Like Terms: 0 + 1 = 1
x = - 1
Divide each side by - 1
x = - 1
Simplifying: x = - 1
Subproblem 2: Set the factor (5 + - 1x) equal to Zero attempt to solve
Simplifying:
5 + - 1x = 0
Move all terms containing x to the left, all other terms to the right
Add - 5 to each side of the equation
5 + - 5 + - 1x = 0 + 5
Combine Like terms: 5 + - 5 = 0
0 + - 1x = 0 + - 5
- 1x = 0 + - 5
Combine Like Terms: 0 + - 5 = - 5
- 1x = - 5
Divide each side by - 1
x = 5
Simplifying:
x = 5
Solution:
x = { - 1, 5}
Answer when factored:
(x + 1)(x - 5)
hope that helps!!!
Babysitting for 8 hours and making $72.00 because of a better/greater amount of money
Answer:
6/5 or 1.2, they're the same value
Step-by-step explanation:
When it says "rate of change", it's really just asking for the slope. If you don't know what the slope is, essentially how much the y-value increases by whenever x increases by 1. This can be formally defined using the equation: 
which is essentially 
. The subtraction is finding the difference between the two numbers to see how much it's changed by. Btw the order doesn't matter, I could plug in (-3, -2) as (x2, y2) or I could plug it in as (x1, y1) as long as I make sure to input it in correctly. In this example I'll just say (-3, -2) = (x1, y1) and (2, 4) = (x2, y2). Plugging these values into the equation gives you: 
that's the rate of change
The equation of the line that passes through the points
(1,5) and (5,13) is y=2x+3
