Answer:
Function 1 written in vertex form is f(x) = -x^2 + 8x - 15 = -(x^2 - 8x + 15) = -(x^2 - 8x + 16 + 15 - 16) = -(x - 4)^2 - (-1) = -(x - 4)^2 + 1
Therefore, vertex = (4, 1)
Function 2 written in vertex form is f(x) = -x^2 + 4x + 1 = -(x^2 - 4x - 1) = -(x^2 - 4x + 4 - 1 - 4) = -(x - 2)^2 - (-5) = -(x - 2)^2 + 5
Therefore vertex = (2, 5)
Function 1 has a maximum at y = 1 and function 2 has a maximum at y = 5. Therefore, function 2 has a larger maximum.
Step-by-step explanation:
30 * 11.95 = 358.5 so mr kaplan will end up paying $358.5
Answer:
L = 2,
O = 31
Step-by-step explanation:
First using the givens, write out some formulas.
Heavy equipment operators = O
General laborers = L
- O + L = 33
- 138O + 87L = 4044
Now use substitution, it doesn't matter which one you substitute.
- O = -L +33
- 138( -L + 33 ) + 87L = 4044
Distribute and solve for L.
- -138L + 4554 + 87L = 4044
- -138L - 87L = 4044 - 4554
- -225L = -510
- L = -510/-225
- L = 2
L = 2, meaning number of laborers employed is 2.
Now plug 2 = L into one of the original equations.
- O + L = 33
- O + 2 = 33
- O = 33 - 2
- O = 31
O = 31, meaning number of heavy equip. operators employed is 31.
10 to the negative 15 (10^-15) power
Answer:
it is 48 hope this helps
Step-by-step explanation:
