Answer:
x = 39
Step-by-step explanation:
12(12+x) = 18(18+16)
144+12x = 612
12x = 468
x = 39
#3). $124.16 will be in amount of deposit
#4) new balance, b = original balance + deposits - payments
=》 b =$782.14+$124.16 - ($450+$58.25)
=》 b = $398.05
Answer:
24 A-(8+8)
Step-by-step explanation:
They can be chosen in 12,444 ways.
There are three different scenarios that have more boys being chosen than girls:
5 boys and 0 girls
4 boys and 1 girl
3 boys and 2 girls
We will set up combinations for all 3 of these scenarios:
Answer:
- <u>The zero is x = 5, and it represents that the diver will enter the pool's surface 5 feet in front of the diving board.</u>
Explanation:
The function is f(x) = - x² - 5x + 50.
Where:
- f(x) is the vertical distance of a diver from a pool's surface, and
- x is the horizontal distance of a diver from the diving board.
A zero of f(x) represents a point where the diver is at the surface of the pool. There might be two possible zeros.
Solve the equation to determine the zeros:
- Multiply both sides by - 1: x² + 5x - 50
- Factor: (x + 10) (x - 5) = 0
- Use zero product property: x + 10 = 0 or x - 5 = 0
- From x + 10 = 0 you get x = - 10
- From x - 5 = 0 you get x = 5.
- The negative zero is not valid as it would be a point behind the diving board, so the meaningful zero is when x = 5, meaning that the diver will touch the surface of the pool at 5 feet in front of the diving board.
