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lakkis [162]
3 years ago
8

Jeremy bought a painting in 2005 for $350. It is estimated that the value of the painting will increase by 12% each year. In wha

t year does the value of the painting exceed $1000?
Mathematics
1 answer:
Artist 52 [7]3 years ago
7 0
It will take about 10 years for the price to exceed that.
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Is X +3 a factor of 2X squared minus 2X -12
Fantom [35]

Answer: No, x+3 is not a factor of 2x^2-2x-12

========================================================

Explanation:

Let p(x) = 2x^2 - 2x - 12

If we divide p(x) over (x-k), then the remainder is p(k). I'm using the remainder theorem. A special case of the remainder theorem is that if p(k) = 0, then x-k is a factor of p(x).

Compare x+3 = x-(-3) to x-k to find that k = -3.

Plug x = -3 into the function

p(x) = 2x^2 - 2x - 12

p(-3) = 2(-3)^2 - 2(-3) - 12

p(-3) = 12

We don't get 0 as a result so x+3 is not a factor of p(x) = 2x^2 - 2x - 12

----------------------------------------

Let's see what happens when we factor p(x)

2x^2 - 2x - 12

2(x^2 - x - 6)

2(x - 3)(x + 2)

The factors here are 2, x-3 and x+2

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3 years ago
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yanalaym [24]

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Answer:

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Step-by-step explanation:

You can pick a point, such as the vertex at (2, -3) on f(x) and see which of the transformations gives you a point on the graph of g(x).

You will find that g(x) represents a vertical scaling by a factor of 1/3, so ...

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__

The point (2, -3) on f(x) corresponds to the point (2, -1) on g(x).

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