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kicyunya [14]
3 years ago
6

Determine the total number of roots of each polynomial function using the factored form. f (x) = (x + 5)3(x - 9)(x + 1)

Mathematics
2 answers:
zalisa [80]3 years ago
6 0

Answer:

Number of roots is 5.

Step-by-step explanation:

Since, the roots of a function f(x) is obtained when f(x) = 0,

Given expression,

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

For finding the roots,

f(x) = 0,

(x+5)^3(x-9)(x+1)=0

(x+5)(x+5)(x+5)(x-9)(x+1) =0

By the ZERO PRODUCT property,

x + 5 = 0 or x + 5 = 0 or x + 5 = 0 or x - 9 = 0 or x + 1 =0,

⇒ x = -5, -5, -5, 9 or -1

Hence, the number of roots = 5.

densk [106]3 years ago
5 0

Answer:

Answer is 5

Step-by-step explanation:

Okay hun so let me tell u what's up here

They give us this equation and ask for the 'roots'

(x+5)^3(x-9)(x+1)

Now lemme tell you the roots of this one

-5, 9, -1

you get this from making each of them 0

The answer to this would be "3" because there are 3 roots, buT wait theRe'S mOre

(x+5) goes 3 times

So thy must recount it

-5, -5, -5, 9, -1 <-- These are the roots

that's 5 roots in total

....also I did this on edgen, got it right with 5

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7 0
3 years ago
Simplify the expression 11+2/3(15-21a)
Delvig [45]

Answer:

21-14a

Step-by-step explanation:

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7 0
3 years ago
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If the first differences of a sequence are a constant -7 and the third term is 22, find the first 5 terms of the sequence.
Andru [333]

Answer:

36, 29, 22, 15, 8

Step-by-step explanation:

Step 1: State known information

First difference is -7

Third term of the sequence is 22

Step 2: Find first 5 terms

You just need to add and subtract 7 to 22 and the answer 5 times

1. 36 +7

2. 29 +7

3. 22 <- We know 22 is the 3rd term

4. 15 -7

5. 8 -7

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8 0
3 years ago
In a particular year, a total of 50,127 students studied in two of the most popular host countries when traveling abroad. If 838
Arlecino [84]

Answer:

In the most popular abroad country: 29,255 students

In the second-most one: 20,872 students

Step-by-step explanation:

Let's write the situation in an equation to help us solve this. X represents the amount of students in the second most popular country. So we know that in total, there's 50,127 students so let's make an equation that equals this. ???????=50,127. As we know, the most popular country has 8383 more students than the second one so we can write it as x+8383 and for the second most popular country, we can write it as x. We know that both of the countries students combined equal 50,127 students so we have our equation. (x)+(x+8383)=50,127 students. After solving the equation, you get x=20, 872. As we know x=the amount of students in the second most popular country which means there's 20,872 students in the second one. Additionally, for the first most popular one, the equation for the amount of students in it is x+8383 so..... 20,872+8383=Total number of students in the most popular one which is 29,255 students.

7 0
3 years ago
Need help with this question
geniusboy [140]

Answer:

450

7,500 + 450

Step-by-step explanation:

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