The axis of symmetry is the x value of the vertex
we have a handy-dandy way of finding that from standard form, ax^2+bx+c=y
for
ax^2+bx+c=y
the x value of the vertex is -b/2a
y=-2x^2+12x-3
-b/2a=-12/(2*-2)=-12/-4=3
x=3 is the axis of symmetry
Answer:
Step-by-step explanation:
y = 2x + 8
She know 8 songs. 8 will be the y-intercept and each month she learns 2 songs which will be the slope of the function.
Answer:
Builtrite D should purchase the machine
Step-by-step explanation:
Cash outflow in year zero = $ 500,000 + $ 25,000 ( training cost ) + $ 30,000 ( Net working capital)
Cash outflow in year zero = $ 555,000
Terminal cash flow in year 10 = $ 150,000 + $ 30,000 ( NWC)
Terminal cash flow in year 10 = $ 180,000
Operating cash flow per year = [ Savings - expenses - depreciation ] X ( 1 - tax rate) + depreciation
Net present value = 
The Net present value of purchasing the machine = $32,071.42
Builtrite D should purchase the machine
It is a geometric sequence. The next two terms are: 0.125, 0.0625
The given sequence is:
2, 1, 0.5, 0.25, . . . .
Let a(n) be the nth term, then in the above sequence
a(1) = 2
a(2) = 1
a(3) = 0.5
a(4) = 0.25
Notice that:
a(2) = a(1) x 0.5
a(3) = a(2) x 0.5
a(4) = a(3) x 0.5
A sequence, of which its next term is obtained by multiplying the previous term by a constant is called a geometric sequence. The constant is called the ratio.
Therefore this is a geometric sequence with r = 0.5
To find the next two terms, continue the multiplication process:
a(5) = a(4) x 0.5 = 0.25 x 0.5 = 0.125
a(6) = a(5) x 0.5 = 0.125 x 0.5 = 0.0625
Learn more about sequences here:
brainly.com/question/24989563
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Answer:15
Step-by-step explanation:trust me