Answer:

Step-by-step explanation:
<u>Factored form of a parabola</u>

where:
- p and q are the x-intercepts.
- a is some constant.
Given x-intercepts:
Therefore:


To find a, substitute the given point (4, 8) into the equation and solve for a:




Therefore, the equation of the parabola in factored form is:

Expand so that the equation is in standard form:




Answer:
Commission of the employee = 16%
Step-by-step explanation:
It is given that:
Amount kept by gym = $42
Amount given to employee = $8
Total fee = 42 + 8 = $50
Commission rate = 
Commission rate = 
Commission rate = 0.16 * 100 = 16%
Therefore,
Commission of the employee = 16%
Answer:
31.5 ft
Step-by-step explanation:
Use the Pythagorean Theorem
a² + b² = c²
Plug in the knowns
a² + 23² = 39²
Subtract 23² from both sides
a² = 39² - 23²
a² = 1521 - 529
a² = 992
Take the square root of both sides
a = 31.496031496
Rounded
a = 31.5 ft
I’m to lazy to figure out this question
Fill the 5-liter container, pour water from that into the 3 liter container until that is full, You will now have 2 liters left in the 5 liter container.
Empty the 3-liter container, and then transfer the 2 liters from the 5-liter container into it.
Now fill the 5-liter container again, then pour water carefully from the 5-liter container into the 3-liter container until it is full - exactly one more liter.
The 5-liter container now has 4 liters in it.