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Sphinxa [80]
3 years ago
12

1. Explain what the slope represents in this situation. please help

Mathematics
2 answers:
DanielleElmas [232]3 years ago
5 0

Answer:

The slope is how much he saves per week (In this case it would be $5 per week)

Step-by-step explanation:

Slope is rise/run or change in y/change in x

In this graph, from x=0 to x=8, the rise or change in y is 40$ and the run or change in x is 8 weeks. So the slope is $40/8 weeks, or $5/week

seraphim [82]3 years ago
5 0
Whatever he said is right^
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f(x) = x^3 - 4x^2+ 4x - 16\\f(2i) = (2i)^3 - 4(2i)^2+ 4(2i) - 16\\= -8i+ 16+8i-16 = 0

Thus, we can write

(x-2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

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f(x) = x^3 - 4x^2+ 4x - 16\\f(-2i) = (-2i)^3 - 4(-2i)^2+ 4(-2i) - 16\\= 8i+ 16-8i-16 = 0

Thus, we can write

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Therefore,

(x-2i)(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16\\(x^2 + 4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Dividing the given polynomial:

\displaystyle\frac{x^3 - 4x^2 + 4x - 16}{x^2+4} = x -4

Thus,

(x-4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

X = 4 is a root of the given polynomial.

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Thus, 2i, -2i and 4 are the roots of given polynomial.

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