Answer:
x = 3
Step-by-step explanation:
The formula for the axis of symmetry is x = -b/(2a).
Here, a = -2 and b = 12, so the axis of symmetry is
-12
x = --------- = 3 => x = 3
2(-2)
We can solve this by using systems of equations.
Let's find our first formula, how much money was made using the tickets.

Here x is how many child tickets we sold and y is how many adult tickets we sold. Now that we have defined that, we can make another formula for the total tickets sold!
since we sold 156 tickets that could be any combination of child and adult tickets.
Let's solve this system. I'm going to use <em>substitution</em> so I'm going to take our second formula and subtract both sides by x to get
.
Now I will plug this in the first equation for y to get You plug it in for y to get
From this you can solve for x to get
.
Since 


There were 99 child tickets and 57 adult tickets.
<u>|4x + 2| + 6 = 0</u>
Subtract 6 from each side: |4x + 2| = -6
But the absolute value of a number is always positive.
No value of 'x' can ever make |4x + 2| negative.
So the equation has <em>no solution</em>.
That one correct so yes um cause the app said answer must be above 20 characters
Answer:
x=0.87 or 86.67%
13 prescription claims out of 15 are paid
Step-by-step explanation:
First we organize the data:
prescription claims submitted: 4500
Prescriptions: 3900
The rate of claims paid is calculated using the following formula:

We know that:
Paid = 3900
Total = 4500
So



x=0.87