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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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26. Law of sines, please give a step by step explanation
Stels [109]

Answer:

  174.6 ft

Step-by-step explanation:

It can be helpful to draw a diagram of the triangle we're concerned with. (See attached.)

We know the angle at the end of the shadow inside the triangle is 52°-22° = 30°. We assume the tree is growing straight up out of the hillside, so its angle with the hill inside the triangle is 90°+22° = 112°. Then the remaining angle between the shadow and the tree at the top of the tree is ...

  180° -30° -112° = 38°

Now, we have the angle opposite the tree, and the angle opposite the known side length of the triangle (215 feet along the hill, AC in the diagram). This is enough information to usefully use the Law of Sines.

  c/sin(C) = a/sin(A)

  c = a(sin(C)/sin(A)) = (215 ft)(sin(30°)/sin(38°)) ≈ 174.6 ft

The height of the tree is about 174.6 feet.

5 0
2 years ago
The line segment joining the points A(2,1) and B(5,-8) is trisected at the points p and q such that p is nearer to A. If p also
SpyIntel [72]

Answer:

  k = -8

Step-by-step explanation:

The location of P is ...

  P = (2A+B)/3 = (2·2+5, 2·1-8)/3 = (3, -2)

Putting this point into the equation for the line, we have ...

  2(3) -(-2) +k = 0

  8 +k = 0

  k = -8

3 0
3 years ago
Read 2 more answers
When P = 2l + 2w is solved for w, the result is:?
Aleks04 [339]

Answer:

\frac{p-2l}{2}

Step-by-step explanation:

move the 2l to the other side by subtracting 2l on both sides. you get P - 2l = 2w. now divide both sides by 2 to get the answer.

6 0
2 years ago
24+3x=3x+3(7-1) What does x equal? Please show me how to do it I don't want the answer. (Well I do but show me how to get it als
balandron [24]

<span>                                               <u>24 + 3x = 3x + 3(7 - 1)</u>

Eliminate the parentheses:    24 + 3x = 3x + 3(6)

                                              24 + 3x = 3x + 18

Subtract  3x  from each side:       <em>24  =  18</em>

Look at that for a second.  Can ANY value of 'x' make 24 equal to 18 ?
I don't think so.
There's NO number that makes the equation a true statement.

That's just another way to say: "The equation has NO solution."</span>


5 0
3 years ago
Re-solve please.<br><br> 2 5/6 + (-1 4/12) =
elena-s [515]

Answer:

1.5 as decimal, 1 1/2 as a fraction

Step-by-step explanation:

1. convert 2 5/6 & (-1 4/12) to a improper fraction.

17/6 and  -16/12

2. multiply 17/6 by 2 to match -16/12's denominator

17/6 * 2 = 34/12

We now have

34/12 + -16/12

A positive number plus a negative number is the same thing as subtraction so we remove the negative sign and replace the plus with a minus sign.

We have:

\frac{34}{12}-\frac{16}{12}

Now solve. 34-16 = 18

our answer is 18/12

6 0
2 years ago
Read 2 more answers
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