Answer:
Step-by-step explanation:
<u>Function modeling</u>
Real-life situations often require the help of mathematics to model numerically what happens when the variables involved can change. It could even be used to predict some expected outcomes from those models.
The problem states Janice receives $.40 per pound when he recycles less or equal than 99 pounds of aluminum. If x is the number of recycled pounds, then the amount of money he receives is
We also know that if he recycles more than 100 pounds of aluminum, the pay increases to $0.5 per pound. In that case, the amount of money is
This is a case where the function is defined differently depending on the conditions of the input variable x. It's called a piecewise function. The function can be written as
Note the function is not well constructed because there is a gap for x=100 where M is not defined. If we establish that for 100 pounds the payment is $0.5, then the second piece would include x=100
Answer:
Red
Step-by-step explanation:
Side angle Side
side LM cong to side NQ
angle m cong to angle Q
side Mn cong to side PQ
The inequalities and the points are
- y + 2 ≤ 5x: (5, -2) and (10, 1)
- y + x > -4: (5, -2) and (10, 1)
- y ≤ 1/3x: (5, -2) and (10, 1))
<h3>How to graph the
system of inequalities?</h3>
The system of inequalities is given as:
y + 2 ≤ 5x
y + x > -4
y ≤ 1/3x
Next, we plot each inequality in the system of inequalities using a graphing calculator
See attachment for the graph of the system of inequalities y + 2 ≤ 5x, y + x > -4 and y ≤ 1/3x
From the attached graph, we have the following points:
y + 2 ≤ 5x: (5, -2) and (10, 1)
y + x > -4: (5, -2) and (10, 1)
y ≤ 1/3x: (5, -2) and (10, 1)
Read more about inequalities at:
brainly.com/question/24372553
#SPJ1
Choose two points on the hexagon that form a line. Plug the numbers into the distance formula and work it out. Because all the sides are equal, you only need to do this once. Hope this helped!
Answer:
The decrease is 21%
Step-by-step explanation:
So lets say the Original area is Pi X (Radius^2)
Lets call Radius as R
For the new radius, it would be: R + 0.1R which is 1.1R
The new area is: Pi X 1.1R^2, which going further is 1.21 after squaring 1.1.
The Original area is: Pi X Radius^2
To find the percent decrease, subtract the new area by the original, cross out Pi X Radius squared and you are only left with 21%
I am in middle school so I don't know if it is going to be incorrect, but I ask you to give it a try and tell me if it was right or not. I have barely done this topic but recently I had a bonus homework question on a question almost exactly like this and this is the way I did it and I was correct. Thanks! Hope it helped! :)
