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MA_775_DIABLO [31]
3 years ago
9

Which of the following is a polynomial with roots 3, 5i, and −5i?

Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0
x_{1}=3 \\  \\ x_{2}=5i \\  \\ x_{2}=-5i \\  \\ f(x)=(x-x_{1})(x-x_{2})(x-x_{3})=(x-3)(x-5i)(x+5i)= \\  \\ =(x-3)(x^{2}+25)=x^{3}+25x-3x^{2}-75=x^{3}-3x^{2}+25x-75

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What are the domain and range of g of x equals the square root of the quantity x plus 4?
Vadim26 [7]

It is discovered using its notion that the domain and range of the function are given by (C) D: [–4, ∞) and R: [0, ∞).

<h3>What are the domain and range of a function?</h3>
  • The domain of a function is the set of values that can be plugged into it. This set contains the x values in a function like f(x).
  • A function's range is the set of values that the function can take.
  • This is the set of values that the function returns after we enter an x value.

To find the domain and range:

  • The given function in the problem is: g(x)=\sqrt{x+4}
  • Because the square root function does not exist for negative numbers, the domain is denoted by: x+4 ≥ 0 → x ≥ -4
  • Therefore, it is discovered using its notion that the domain and range of the function are given by (C) D: [–4, ∞) and R: [0, ∞).
  • The range of the square root function is x ≥ 0, which remains the same as there are no vertical translations.

Therefore, it is discovered using its notion that the domain and range of the function are given by (C) D: [–4, ∞) and R: [0, ∞).

Know more about the range here:

brainly.com/question/26098895

#SPJ4

The complete question is given below:

What are the domain and range of g of x equals the square root of the quantity x plus 4?

(A) D: [4, ∞) and R: [0, ∞)

(B) D: (–4, ∞) and R: (–∞, 0)

(C) D: [–4, ∞) and R: [0, ∞)

(D) D: (4, ∞) and R: (–∞, 0)

3 0
1 year ago
Is this question a statistical question Which student spends the most time playing musical instruments? explain why or why not
Cloud [144]

Statistical questions are questions that are answered by collecting variable data, which can be given as an average/range/percentage. This question has a single answer, and therefore it is not a statistical question. A statistical question would be, for example, What is the average amount of time students in this class spend playing musical instruments?

7 0
3 years ago
In how many years will Rs.1200 at the rate of 15% interest amount to Rs. 1740​
Anvisha [2.4K]

Find the interest amount.

I=1740-1200=540

Use the formula for simple interest.

I=prt/100

Solve for t.

540=1200 \times 15\% \times t

540=1200 \times \frac{15}{100}  \times t

540=180t

t=\frac{540}{180}

t=3

<h2>3 years.</h2>
6 0
3 years ago
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Please help me asap
salantis [7]

Answer:

D

Step-by-step explanation:

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bekas [8.4K]

Answer:

(-4,4)

Step-by-step explanation:

-5x-10y=-20

10x+10y=0

divide both sides by 2

-5x-10y=-20

5x+5y=0

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multiply

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10x=-40

divide

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7 0
3 years ago
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