Answer: -x + y = 8
Step-by-step explanation:
So first you are going to want to find the slope of the equation. The equation for that it (y2 - y1)/(x2 - x1) = (10 - 7)/(2 - -1) and that equals 1. So your slope will be 1.
Now you have half of your equation complete, currently it looks like, y = x + b. So we have to find the y intercept. You can do that by plugging in a pair of coordinates into the current equation and solve for b.
Lets plug in (2,10)
10 = 2 + b
10 - 2 = b
b = 8
So now you have your equation in slope intercept form, y = x + 8. Just move the x over to the left side and there is your answer.
-x + y = 8
Remark
The trick here is to remove the brackets carefully. Once you have done that the problem is almost solved.
- 2 = - (n - 8) Multiply both terms inside the brackets by - 1
-1 * n = - n
-1 * -8 = + 8 Be very careful with that. Make sure you understand that two minus's make a plus.
- 2 = - n + 8 Add n to both sides.
-2 + n = -n + n + 8
-2 + n = 8 Add 2 to both sides.
-2 + 2 + n = 8 + 2
n = 10
You should check this.
-2 = -(10 - 8)
-2 = -(2)
- 2 = - 2 and it checks.
Based on the calculations, Celine would earn a total of $65.00 assuming she delivered 10 packages.
<h3>What is a function?</h3>
A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variable.
<u>Given the following function:</u>
y = 20.00 + 0.45(x)
In this exercise, you're required to determine Celine's weekly earnings based on the number of packages she delivered. However, the number of packages delivered by Celine wasn't shown, thus, we would assume a value for the purpose of an explanation:
Assuming x = 10 packages.
Substituting the value of x into the function, we have:
y = 20.00 + 0.45(10)
y = 20.00 + 45
y = $65.00.
Read more on function here: brainly.com/question/4246058
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Copper: density ≤ 3.4
Iron: density=2.26
Before: 200 t
After: 800 t
<span>Simplifying
X2 + -4 = 0
Reorder the terms:
-4 + X2 = 0
Solving
-4 + X2 = 0
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + X2 = 0 + 4
Combine like terms: -4 + 4 = 0
0 + X2 = 0 + 4
X2 = 0 + 4
Combine like terms: 0 + 4 = 4
X2 = 4
Simplifying
X2 = 4
Take the square root of each side:
X = {-2, 2}</span>
