Question:
Miriam is making a bulletin board that is shaped like a square. She has 72 inches of border material. If x represents the length of one side of the bulletin board, which inequality model and solution set best represents the possible side lengths of Miriam's bulletin board?
Answer:
Step-by-step explanation:
Given
Required
Determine an inequality for x
Represent the side lengths of the border with y. So:
Since the border is on the 4 sides, then
-- i.e. the perimeter of the border material
Solve for y
Recall that x represents the board's side length.
Since x will be situated inside the boarder, then.
Substitute
Answer:
Step-by-step explanation:
y-intercept⇒(0,4)
slope⇒ 2 over 1
equation⇒ y=2x+4
Answer:
About 6,785 people will be infected about nine months.
Step-by-step explanation:
We can write an exponential function to represent the situation. The standard exponential function is given by:
Where <em>a</em> is the initial value, <em>r</em> is the rate, and <em>x</em>, in this case, is the time that has passed in months.
3,124 people have already been infected. Thus, our initial value <em>a</em> = 3124.
And an additional 9% will be infected per month. Therefore, our rate <em>r</em> will be 1 + 9% or 1.09.
Hence, our function is:
Then after nine months, the total amount of infected people will be f(9):
Use a calculator:
About 6,785 people will be infected about nine months.
The answer is 15. Did both ways to see if I was correct. I did a2+b2=c2
Answer: 6.211, 6.111, and 6.21 are all possible answers.
