The answer to this equation is 4. This is because since the function is g(3), you plug in x with 3. 3*3 = 9. 9+7 = 16. The square root of 16 is equal to 4, so that is your answer.
The two triangles are similar, so the side lengths are similar:
11 * y = 121 + 11 = 132
10 * y = (5x + 10) + (10 * y)
y = 121 / 11 = 12
(10 * 11)= (5x + 10) + (10 * 11)
110 = 5x + 10 + 110
5x + 10 = 0
5x = -10
x = -10 / 5 = -2
x = -2
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.
Answer:
8
Step-by-step explanation:
100-36=x^2
64=x^2
x=8
1 years is $5200
2 years is $5408
3 years is $5624.32
4 years is $5849.29
5 years is $6083.26