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prohojiy [21]
4 years ago
11

Find a polynomial function of degree 4 with − 2 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1.

Mathematics
1 answer:
MArishka [77]4 years ago
3 0
Degree 4 means you'll have x^4 as your leading term. Multiplicity of 3 means you have the same factor 3 times. So if x = -2, then (x + 2) = 0, so (x + 2) is used 3 times. FOIL that out 3 times and you get x^3 + 6x^2 + 12x + 8. Now multiply by (x + 0) to get a 4th degree polynomial of x^4 + 6x^3 + 12x^2 + 8x. There!
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Answer:

See below.

Step-by-step explanation:

Let's look at the cost for members (C1) first.  Let x be the number of visits.

C1(x) = 12 + 8x

For non-members (C2), we can do the same.

C2(x) = 10x

You can graph these two equations.

x        C1         C2

0       12          0

1        20        10

2       28        20

3       36        30

4       44        40

5       52        50

6       60        60

7       68        70

Let's make the two equations equal, to find out where the benefit is the same.

12 + 8x = 10x

2x = 12

x = 6

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Step-by-step explanation:

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ser-zykov [4K]

The sale price S (in dollars) of an item is given by the formula

S=L−rL , where L is the list price (in dollars) and r is the discount rate.

Since, S = L -rL

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Since, the listed price of the shirt is $30, we have to find the discount rate.

Therefore, r = 1-\frac{S}{30} is the discount rate.

7 0
4 years ago
Read 2 more answers
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