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liraira [26]
2 years ago
6

Giving brainliest to first correct answer

Mathematics
1 answer:
just olya [345]2 years ago
8 0
The answer would be B
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I'm definite about a b c
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4 years ago
Let y in the form of a + ib, where a and b are real numbers, be the cubic roots of a complex number z 20, where z =2 4+i3. Find
GalinKa [24]

The possible values of a + b are 0.89, 3.01 and -3.9

<h3>How to determine the value of a + b?</h3>

The given parameters are:

y = a + ib

z = 24 + i3

Where:

y = ∛z

Take the cube of both sides

y³ = z

Substitute the values for y and z

(a + ib)³ = 24 + i3

Expand

a³ + 3a²(ib) + 3a(ib)² + (ib)³ = 24 + i3

Further, expand

a³ + i3a²b + i²3ab² + i³b³ = 24 + i3

In complex numbers;

i² = -1 and i³= -i

So, we have:

a³ + i3a²b + (-1)3ab² -ib³ = 24 + i3

Further expand

a³ + i3a²b - 3ab² - ib³ = 24 + i3

By comparing both sides of the equation, we have:

a³ - 3ab² = 24

i3a²b - ib³ = i3

Divide through by i

3a²b - b³ = 3

So, we have:

a³ - 3ab² = 24

3a²b - b³ = 3

Using a graphing tool, we have:

(a,b) = (-1.55, 2.44), (2.89,0.12) and (-1.34,-2.56)

Add these values

a + b = 0.89, 3.01 and -3.9

Hence, the possible values of a + b are 0.89, 3.01 and -3.9

Read more about complex numbers at:

brainly.com/question/10662770

#SPJ1

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2 years ago
Evaluate f(-3) for f(x) = 2x.
Natasha_Volkova [10]
Answer: f(-3) = 2 x -3 = -6
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3 years ago
Which second degree polynomial function has a leading coefficient of –1 and root 4 with multiplicity 2?
Fynjy0 [20]

Answer:

-(x-4)^{2}

or -x^{2}+8x-16

Step-by-step explanation:

Given a second degree polynomial has a root 4 with multiplicity 2

That means, 4 is a repeating root of the polynomial.

Any second degree polynomial has at most 2 real roots.

⇒Both roots of the polynomial are 4.

and its expression can be written as c·(x-4)^{2} where c is a real number

⇒c·(x^{2}-8x+16)

⇒cx^{2}-8cx+16c

Also, the leading coefficient is given as -1

So, c = -1

and the expression becomes (-1)x^{2}-8·(-1)·x+16·(-1)

⇒<u>-x^{2}+8x-16</u>

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3 years ago
Which of the following statements accurately describes the result of an increasing worker-per-beneficiary ratio in the Social Se
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B is the answer fs no doubt
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