<h2>
Answer:</h2>
We have the following function:
And this function models the height 
, in feet, of an object above ground 
seconds after being launched straight up in the air. The graph of this function is shown below. So we want to know what the number 72 represents. Well, what if 
?
If we have:
Thus, <em>72 is the height of the object above the ground at . In other words, 72 is the initial height of the ball before being launched straight up in the air.</em>
The answer for the Geometry question is a=45s
First we define the variable to be used:
x: half-life time period
The equation for this problem can be modeled as:
y = A * (b) ^ x
Where,
A: initial amount
b: decrease rate.
For example:
if there are 100 atoms, after one half-life time period, 50 atoms remain:
y = 100 * (0.50) ^ x
after one half-life time period (x = 1):
y = 100 * (0.50) ^ 1
y = 50
The equation that models the problem is:
y = 16 * (0.50) ^ x
The table is:
1 8
2 4
3 2
4 1
5 0.5
Answer:
Heather sent 28, Pablo sent 19, and Shen sent 76.
Step-by-step explanation:
This will be your equation
123 = H (Heather) + P (Pablo) + S (Shen)
This is the extra stuff
P + 9 = H
4P = S
Substitute so there is only P then use that to solve for the rest
123 = P + 9 + P + 4P
Then solve
123 = 6P + 9
123 - 9 = 6P + 9 - 9
114 = 6P
19 = P
Then substitute for the extra equations
19 (P) + 9 = 28 (H)
19 (P) * 4 = 76
Answer:
9. -4x+19y-7
10. 7x+20
Step-by-step explanation:
9. To simplify this expression, simply combine like terms. Add all of the terms with the x variable together, then the terms with the y variable, then the constant terms. I will show this step by step, but usually you do not have to show this work. The order of the terms does not matter.
x variable terms: (4x-8x)+7y-2+6y+6y-5= -4x+7y-2+6y+6y-5
y variable terms: (7y+6y+6y)-4x-2-5=19y-4x-2-5
constant terms: (-2-5)-4x+19y=-4x+19y-7
10. To simplify this expression, expand all terms and then combine like terms. The first term can be expanded by multiplying each term in the parentheses by 2.
Expand terms: 2(5+3x)+(x+10)= 10+6x+x+10
Now, you can combine like terms as done on the last problem. Note that I got rid of the parentheses in the second term, as they did not matter (since there was no term in front of them).
x variable terms: (6x+x)+10+10=7x+10+10
constant terms: (10+10)+7x=7x+20
