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Annette [7]
3 years ago
15

Identify the real and imaginary parts of the complex number. -5 + 6i

Mathematics
1 answer:
Genrish500 [490]3 years ago
4 0
-5 is the real part and 6i is the imaginary part. This can be determined by looking which number has the "i" attached to it. 
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3 years ago
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The function f(x) is a cubic function and the zeros of f(x) are -6, -3 and 1. The
jarptica [38.1K]

Answer:

P(x)=-5x^3-40x^2-45x+90

Step-by-step explanation:

<u>Equation of a Polynomial</u>

Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:

P(x)=a(x-x1)(x-x2)(x-x3)

Where a is the leading coefficient.

We know the three roots of the polynomial -6, -3, and 1, thus:

P(x)=a(x+6)(x+3)(x-1)

Since the y-intercept of the polynomial is y=90 when x=0:

90=a(0+6)(0+3)(0-1)

90=a(6)(3)(-1)=-18a

Thus

a = 90/(-18) = -5

The polynomial is:

P(x)=-5(x+6)(x+3)(x-1)

We must write it in standard form, so we have to multiply all of the factors as follows:

P(x)=-5(x^2+6x+3x+18)(x-1)

P(x)=-5(x^2+9x+18)(x-1)

P(x)=-5(x^3-x^2+9x^2-9x+18x-18)

P(x)=-5(x^3+8x^2+9x-18)

\boxed{P(x)=-5x^3-40x^2-45x+90}

3 0
2 years ago
Determine which relation is a function.
lys-0071 [83]
You know if something is a function or not because the X will never be used twice in a set. If it is, then it's not a function.
A. Uses -1 twice
B. Uses Nothing twice (good)
C. Uses 0 twice
D. Uses 0 twice
B is your answer


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3 years ago
Can you please help me with the whole table
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7 0
3 years ago
A cylinder has a base with a radius of 8 inches and a height of 15 inches. What is the volume of the cylinder? (Use π = 3.14.)
stich3 [128]
R = 8
h = 15
a = r^2 * pi
a = 64pi = 201.06 sq.in.
201.06 * 15 = 3015.9 cubic inches.
4 0
3 years ago
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