11/30 is .36666... because that is what you get when you divide 11 by 30. Hope this helps!
Hello :
the nth term ( general term of an arithmetic sequence is :
An =A1+(n-1)d ....a common difference is : d , A1 : the first terme
A1 = 5 and : d = 1 - 5 = - 4 n = 21
A21 = 5 + (21 -1)(-4)
A21 = 5 - 80 = -75
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Step-by-step explanation:
if we translate (shift) a function g(x) to the right by k to create h(x), then h(x) creates the same functional values as g(x), but they happen now for higher x ("later", if you consider x as a kind of time).
so, e.g.
h(0) = g(0 - k)
or
g(0) = h(0 + k)
and to translate to the left by k has the opposite effect. the original results happen "earlier" on the x-axis.
so, e.g.
h(0) = g(0 + k)
or
g(0) = h(0 - k)
so, all we need to do is to replace every occurrence of x by (x - k) if shifting right, or by (x + k) if shifting left.
our graph is
10x² - 2x + 4y² - 4y = 40
so, translating this 4 units to the right gives us
10(x - 4)² - 2(x - 4) + 4y² - 4y = 40
10(x² - 8x + 16) - 2x + 8 + 4y² - 4y = 40
10x² - 80x + 160 - 2x + 8 + 4y² - 4y = 40
10x² - 82x + 4y² - 4y = -128
translating the original graph 3 units to the left gives us
10(x + 3)² - 2(x + 3) + 4y² - 4y = 40
10(x² + 6x + 9) - 2x - 6 + 4y² - 4y = 40
10x² + 60x + 90 - 2x - 6 + 4y² - 4y = 40
10x² + 58x + 4y² - 4y = -44
Answer: 740000000
Step-by-step explanation:
<span> Final price=(Initial price)(100%-discount rate)
Final price=($415.80)(100%-20%)
Final price=($415.80)(80%)
Final price=($415.80)(0.8)
Answer:
Final price=$332.64 </span>