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-Dominant- [34]
3 years ago
7

Write these price increases in order from greatest to least 2/3, 75%, 7 / 10, 62.5%, 0.5

Mathematics
1 answer:
In-s [12.5K]3 years ago
5 0

Answer:

75, 7/10, 2/3, 62,5, .5

Step-by-step explanation:

75%=75%

7/10=70%

2/3=66.67%

62.5%=62.5%

.5=50%

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The polynomial of degree 4, P(x) has a root of multiplicity 2 at x=1 and roots of multiplicity 1 at x=0 and x=-3. It goes throug
lukranit [14]

Answer:

P(x) = (\frac{2}{5})x(x + 3)(x - 1)²

Step-by-step explanation:

Given - The polynomial of degree 4, P(x) has a root of multiplicity 2 at x=1 and roots of multiplicity 1 at x=0 and x=-3. It goes through the point (5,256)

To find - Formula for P(x) ?

Proof -

Given that,

P(x) has a root of multiplicity 2 at x=1

So,

(x - 1)² is a factor.

Now,

Given that, there is roots of multiplicity 1 at x=0 and x=-3

So,

(x - 0) and ( x - (-3) are also factor

So,

P(x) can be written as

P(x) = Ax(x + 3)(x - 1)²           .........(1)

where A is a constant.

Now,

Given that, It goes through the point (5,256)

⇒At x = 5, P(x) = 256

So,

Put the values of x and P(x) in equation (1), we get

P(x) = Ax(x + 3)(x - 1)²

⇒256 = A(5)(5 + 3)(5 - 1)²

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⇒256 = 640 A

⇒A = \frac{256}{640} = \frac{2}{5}

∴ we get

P(x) = (\frac{2}{5})x(x + 3)(x - 1)²

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2 years ago
According to the synthetic division below, which of the following statements are true? Check all that apply
slamgirl [31]

Answer:

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