9514 1404 393
Answer:
- vertex: (7.5, 2.25)
- f(x) = -(x -7.5)² +2.25
Step-by-step explanation:
My favorite "technology" for problems like this is the Desmos graphing calculator app or web service. It easily displays the vertex (and/or zeros) of the function.
Of course, vertex form is ...
f(x) = a(x -h)² +k . . . . . . . . vertex (h, k), leading coefficient 'a'
The solution is found by reading the graph and putting the numbers in the formula. The leading coefficient is copied from the standard form equation.
- vertex: (7.5, 2.25)
- f(x) = -(x -7.5)² +2.25
The formula to find the volume of a sphere is:
4π(r³/3)=V
The radius is half of the diameter.
24÷2=12
4π(12³/3)=V
12.5663706(576)=V
7238.22947=V
So, the volume of the sphere is 7,238.22947 units³.
Additive Inverse of 63 = -63
Since the additive inverse of 63 is -63, additive inverse is also known as the opposite number.
Answer:
1. 700
2. $157.50
3. $857.50
Step-by-step explanation:
Regular pay is calculated by taking 40 hours x $17.50 to get $700.
Overtime is calculated by taking 6 hours x 17.50 x 1.50 to get $157.50
Gross pay would be adding these two amounts together.