The answer is B.
I hope this helps!
Answer:
see explanation
Step-by-step explanation:
A quadratic function in standard form is
y = ax² + bx + c (a ≠ 0 )
Given
y = - 3x² + 6x + 17 ← compare coefficients with standard form, then
a = - 3, b = 6, c = 17
Given the quadratic in standard form the the equation of the axis of symmetry is
x = -
= -
= 1
Equation of axis of symmetry is x = 1
X = # of perfomances
y = total amount of money
Income: y = 7500x
Expense: y = 5900x + 88000
Substitution:
7500x = 5900x + 88000
1600x = 88000
x = 55
y = 7500(55) = $412,500
55 performances are needed to break-even.
Answer:
3,672
Step-by-step explanation:
Given the sequence 6, 9, 12...
The sequence is an arithmetic sequence
first term a = 6
common difference d = 9 - 6 = 12 - 9 = 3
number of terms n = 48
Sn = n/2[2a+(n-1)d]
Substitute the given values
S48 = 48/2[2(6)+(48-1)(3)]
S48 = 24(12+(3*47))
S48 = 24(12+141)
S48 = 24(153)
S48 = 3,672
Hence the sum of the first 48terms is 3,672