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nadezda [96]
2 years ago
10

HELPPP

Mathematics
1 answer:
Mazyrski [523]2 years ago
6 0

Answer:

Hello,

Step-by-step explanation:

y-intercept: x=0 ,f(0)=-10

x^3-8x^2+17x-10\\\\=x^3-5x^2-3x^2+15x+2x-10\\\\=x^2(x-5)-3x(x-5)+2(x-5)\\\\=(x-5)(x^2-3x+2)\\\\=(x-5)(x^2-x-2x+2)\\\\=(x-5)(x(x-1)-2(x-1))\\\\=(x-5)(x-1)(x-2)\\

x-intercepts are: 5,1,2.

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105 different outfits can wear on an individual day

<em><u>Solution:</u></em>

I have 7 button down shirts, 5 pairs of pants and 3 pairs of shoes that I can wear to work

To find: Number of different outfits can I wear on an individual day

First he has to decide on a pair of pants and he has 5 different choices

For each of those choices he has a choice of 7 different button down shirts, so that gives him 5 x 7 = 35 different pant/shirt combinations

For each of those 35 different pant/shirt combinations, he has 3 pairs of shoes he could select, so altogether he has 35 x 3 = 105 different outfits

In short we can say,

different outfits = 7 x 5 x 3 = 105

So there 105 different outfits can wear on an individual day

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