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weqwewe [10]
3 years ago
6

If G(x)=1/2 we’re shifted 3 units to the left and 3 units up, what would the new equation be?

Mathematics
1 answer:
maria [59]3 years ago
6 0

Answer:

F(x) = 3  1/2  or  3.5

Step-by-step explanation:

G(x) = 1/2 is a constant function:  y = 1/2.  Shifting the graph to the left or right has no affect on the graph.

However, shifting this graph up  by 3 units results in the graph

F(x) = 3 + 1/2, or 3  1/2, or 3.5.

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Zarrin [17]

By first principles, the derivative is

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Use the binomial theorem to expand the numerator:

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(x+h)^n=x^n+nx^{n-1}h+\dfrac{n(n-1)}2x^{n-2}h^2+\cdots+nxh^{n-1}+h^n

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\dbinom nk=\dfrac{n!}{k!(n-k)!}

The first term is eliminated, and the limit is

\displaystyle\lim_{h\to0}\frac{nx^{n-1}h+\dfrac{n(n-1)}2x^{n-2}h^2+\cdots+nxh^{n-1}+h^n}h

A power of h in every term of the numerator cancels with h in the denominator:

\displaystyle\lim_{h\to0}\left(nx^{n-1}+\dfrac{n(n-1)}2x^{n-2}h+\cdots+nxh^{n-2}+h^{n-1}\right)

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4 0
3 years ago
An object is launched from a platform. Its height (in meters), xxx seconds after the launch, is modeled by: h(x)=-5x^2+20x+60h(x
EastWind [94]
It takes 6 seconds for it to hit the ground.

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We can solve this by factoring.  First factor out the GCF, -5:

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Now we want factors of -12 that sum to -4.  -6(2) = -12 an -6+2 = -4:
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Using the zero product property, we know that either x-6=0 or x+2=0; this gives us the answers x=6 or x=-2.  Since we cannot have negative time, x=6.
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3 years ago
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A spreadsheet or financial calculator will tell you the monthly payment on $11,000 at 5.9% annual rate for 4 years is ...

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3 years ago
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Inessa05 [86]

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