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ivolga24 [154]
3 years ago
10

Factor the polynomial function over the complex numbers. f(x)=x4+9x3+15x2+9x+14 Enter your answer in the box. f(x)=

Mathematics
1 answer:
Nostrana [21]3 years ago
5 0

Answer:

(x+2)(x+7)(x+i)(x-i)

Step-by-step explanation:

I just took the quiz.

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If Raj randomly chooses a point in the square below, what is the probability that point is not in the circle? Assume that pi = 3
hodyreva [135]

Answer:

49.7%

Step-by-step explanation:

A cdircle is located within a square.

<u>Area of the circle</u>

Area = \pir^{2}, where r = 4 units.

Area Circle = 50.3 units^2

<u>Area of the square</u>

Area = l*w or l^2 for a square, since l = w

Area = (10 units)^2

Area = 100 units^2

<u>Area in the square but outside the circle</u>

This is the difference [Square minus Circle Areas]

Square minus Circle Areas = 100 - 50.3  or <u>49.7 units^2</u>

<u>Probability</u>

The probability of picking a point in the square that is not in the circle is the ration of the two areas:  <u>[Outside Circle/Square]x100%</u>

<u></u>

<u>(</u>49.7 units^2)/(100 units^2)x100% = 49.7%

<u></u>

6 0
1 year ago
I will give you brainliest if you right down the answer and explain it
liberstina [14]

to find the mid point,

m=-2+1/2,-5+3/2

=-1/2,-1

8 0
3 years ago
Need help please, does any one know how to do this​
ziro4ka [17]

Answer:

  • (6-u)/(2+u)
  • 8/(u+2) -1
  • -u/(u+2) +6/(u+2)

Step-by-step explanation:

There are a few ways you can write the equivalent of this.

1) Distribute the minus sign. The starting numerator is -(u-6). After you distribute the minus sign, you get -u+6. You can leave it like that, so that your equivalent form is ...

  (-u+6)/(u+2)

Or, you can rearrange the terms so the leading coefficient is positive:

  (6 -u)/(u +2)

__

2) You can perform the division and express the result as a quotient and a remainder. Once again, you can choose to make the leading coefficient positive or not.

  -(u -6)/(u +2) = (-(u +2)-8)/(u +2) = -(u+2)/(u+2) +8/(u+2) = -1 + 8/(u+2)

or

  8/(u+2) -1

Of course, anywhere along the chain of equal signs the expressions are equivalent.

__

3) You can separate the numerator terms, expressing each over the denominator:

(-u +6)/(u+2) = -u/(u+2) +6/(u+2)

__

4) You can also multiply numerator and denominator by some constant, say 3:

  -(3u -18)/(3u +6)

You could do the same thing with a variable, as long as you restrict the variable to be non-zero. Or, you could use a non-zero expression, such as 1+x^2:

  (1+x^2)(6 -u)/((1+x^2)(u+2))

7 0
3 years ago
1) Jessica charges $8 an hour for babysitting
nordsb [41]
A. The independent variable is time, as time is manipulating the value of her salary.

b. The dependent variable is her cost because what she charges for babysitting depends on how long she works.

c. y = 8x
y = how much she charges for this job
8 = the amount she charges per hour
x = number of hours babysat
6 0
3 years ago
Luis said that when his dog was born, she had a mass of 370 grams and that when fully grown, his dog had a mass of 37 kilograms.
yanalaym [24]
I do not agree. This is because when the dog was a puppy, she was 370 grams not kilograms. Diego's mistake was mistaking grams for kilograms.
4 0
3 years ago
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