Answer:
the second option is the correct one
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
To calculate m use the slope formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 4, - 1)
m = 
= 
= 
Use either of the 2 points as (a, b)
using (- 4, - 1), then
y- (- 1) = (x - (- 4)), that is
y + 1 = (x + 4)
Given:
Consider the below figure attached with this question.
∠EFH = (5x + 1)°, ∠HFG = 62°, and ∠EFG = (18x + 11)°
To find:
The measure of ∠EFH.
Solution:
From the figure it is clear that ∠EFG is divide in two parts ∠EFH and ∠HFG. So,
Isolate variable terms.
Divide both sides by 13.
The value of x is 4.
Therefore, the measure of ∠EFH is 21°.
Answer:
Learning to subtract rational numbers by adding the additive inverse can be explained to your child as being the same as finding the opposite. This can even be described to your child as being a similar concept to one that they have worked with in the past where subtraction is the opposite of addition.
Additive inverse can be defined as adding a number with the opposite or the negative of that number to equal zero. The additive inverse of 1 is (-1), the additive inverse of 2 is (-2) and so on.
Example: 5 + (-5) = 0
In this example, (-5) is the additive inverse.
You can then take additive inverse one step when finding the additive inverse when subtracting rational numbers.
Example: 7 - 4 = 7 + (-4)
3 = 3
When finding the inverse, it is important to keep in mind that what you do to one side, you must do the opposite to another. In the example above, because you subtracted a positive four on one side, you are going to add a negative four to the other. This will make the equation equal on both sides.
Step-by-step explanation:
Answer:
- <em>The net change in how many bags are on the shelf, from the beginning of Tuesday to the end of Monday is -</em><u>2.</u>
Explanation:
The change in the number of bags any day is the number of bags is equal to the number of bags purchased to restock less the number of bags sold that day.
- Change = bags purchased to restock - bags sold
At the end of <em>Tuesday</em>, the change is:
- Change: 6 - 5 = 1 (note that this means that the number of bags increases by 1)
At the end of <em>Wednesday</em>, the change is:
- Change: 12 - 8 = 4 (the number of bags increases by 4)
At the end of <em>Thursday</em>, the change is:
- Change: 12 - 2 = 10 (the number of bags increases by 10)
At the end of <em>Friday</em>, the change is:
- Change: 18 - 19 = - 1 (the number of bags decreases by 1).
At the end of <em>Saturday</em>, the change is:
- Change: 24 - 22 = 2 (the number of bags increases by 2).
At the end of <em>Sunday</em>, the change is:
- Change: 0 - 15 = - 15 (the number of bags decreases by 15).
At the end of <u>Monday</u>, the change is:
- Change: 0 - 3 = - 3 (the number of bags decreases by 3).
The net change in how many bags are on the shelf, from the beginning of Tuesday to the end of Monday equals the algebraic sum of every change:
- Net change = 1 + 4 + 10 + (-1) + 2 + (-15) + (-3)
- Using associative property: (1 + 4 + 10 + 2) - (1 + 15 +3)
- Simplifying: 17 - 19 = -2
<u>Conclusion</u>: the net change in how many bags are on the shelf, from the beginning of Tuesday to the end of Monday is -2, meaning that the number of bags, after taking into account all sales and restock, decreases by 2.
Let n = number of months both have their services
Provider A:
C = 35.50n + 55
Provider B:
B = 35.50n
Provider A will always cost more than
provider B because of the $55 installation fee
