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____ [38]
3 years ago
8

find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1). 50 POINTS!!!!!!! -5 with multiplicity 3 5 with multiplicity 3 -9 with multi

plicity 2 9 with multiplicity 2 -1 with multiplicity 0 -1 with multiplicity 1 1 with multiplicity 0 1 with multiplicity 1
Mathematics
2 answers:
Dmitrij [34]3 years ago
8 0

Answer:

The answer to this question can be described as follows:

-5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

Step-by-step explanation:

Given:

\Rightarrow f (x) = (x + 5)^3(x - 9)^2(x + 1)

Solve the above equation:

\Rightarrow f (x) = (x + 5)(x + 5)(x + 5)(x - 9)(x - 9)(x + 1)\\

The roots of the polynomial are as follows:

 \Rightarrow (x-x_1)(x-x_2)(x-x_3)......(x-x_n)\\\\\Rightarrow  x_1,x_2,x_3.........x_n

That's why the roots are:

5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

AysviL [449]3 years ago
5 0

Answer:

answer:

a. -5 with multiplicity 3  

d. 9 with multiplicity 2

f. -1 with multiplicity 1

Step-by-step explanation:

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Mark buys a fresh pair of Walmart shoes that cost $35.99 plus 5.5% tax. How much did he pay?
elena55 [62]

Answer:

$37.97

Step-by-step explanation:

The price of the shoes before tax is 100% of the price of the shoes.

Then the tax adds 5.5% of the price of the shoes to the price of the shoes.

He ends up paying 100% + 5.5% of the price of the shoes.

100% + 5.5% = 105.5%

Now we find 105.5% of $35.99.

105.5% of $35.99 = 1.055 × $35.99 = $37.96945

Answer: $37.97

8 0
2 years ago
Read 2 more answers
Consider the two triangles. Triangles A B C and H G I are shown. Angles A C B and H I G are right angles. The length of side A C
zheka24 [161]

Answer:

Both are similar by SAS similarity.

This SAS similarity is equivalent to the congruence.

Step-by-step explanation:

Step 1:

To prove that ACB and HIG as similar triangles.

We have to look upon the corresponding sides.

SAS= Side angle sides , there the angle must be in between two sides.

\angle ACB = \angle HIG

Lets work on the corresponding sides.

IG/AC = IH/AC

\frac{9}{15} = \frac{12}{20}

Reducing each to lowest form, we divide numerator and denominator by 3 for the 1st fraction and by 4 for the 2nd fraction.

We have

\frac{3}{5} = \frac{3}{5}

Both sides are equal.

So its proved that both are similar with SAS similarity theorem.

8 0
3 years ago
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What is the least common denominator (LCD)
Romashka [77]

The least common denominator is 15. The equivalent fractions would be 10/15 and 12/15.

3 0
3 years ago
Given that 6 x − 7 y = 22 Find y when x = − 1
kykrilka [37]

Answer

y= 4

Step-by-step explanation:

6x-7y=22

6x(-1)-7y=22

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2 years ago
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Ainat [17]

Answer:

The answer is 4.

Step-by-step explanation:

To find the greatest common factor (GCF), start by listing the factors of each number.

For 24: 1, 2, 3, 4, 6, 8, 12, 24

For 64: 1, 2, 4, 8, 16, 32, 64

For 108: 1, 2, 3, 4, 6, 9, 12, 18

Since all the factors are now written out, we can find the greatest common factor between 24, 64, and 108, and the GCF is 4.

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3 years ago
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