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2 years ago

A third degree polynomial equation with rational coefficients that has roots -4 and 2+i

1 answer:

8 0

If one of the roots is 2+i, another must be 2-i. We can express this polynomial as (x+4)(x-2-i)(x-2+i). This expands to $x^3-11x+20$ .

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What is the volume of the following rectangular prism? 9/5 2/3

MaRussiya [10]

Answer:

1.2

Step-by-step explanation:

9/5*2/3=1.2

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3 years ago

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Write an equation of a polynomial with the given characteristics: a quadratic function has x -intercepts of -3 and 1, and a y-in

fredd [130]

Answer:

f(x) = -3(x+3)(x-1)

Step-by-step explanation:

x = -3 & 1; f(x) = 9

f(x) = a(x-r1)(x-r2)

f(0) = a(x-r1)(x-r2) = 9; 9 = a(0-(-3))(0-1)

9 = a(3)(-1); 9 = a(-3)

a = -3

f(x) = -3(x+3)(x-1)

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2 years ago

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What is an equation of the line that passes through the point (-6,-8) and is parallel to the line x-2y=6?

vfiekz [6]

Answer:

$y=\frac{1}{2}x-5$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
Parallel lines always have the same slope and different y-intercepts

1) Determine the slope (m)

$x-2y=6$

Rearrange this equation into slope-intercept form (this will help us find the slope)

Subtract x from both sides

$x-2y-x=6-x\\-2y=-x+6$

Divide both sides by -2

$y=\frac{1}{2} x-3$

Now, we can identify clearly that the slope of the given line is $\frac{1}{2}$ since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of $\frac{1}{2}$ as well. Plug this into $y=mx+b$ :

$y=\frac{1}{2}x+b$

2) Determine the y-intercept (b)

$y=\frac{1}{2}x+b$

Plug in the given point (-6,-8)

$-8=\frac{1}{2}(-6)+b\\-8=-3+b$

Add 3 to both sides to isolate b

$-8+3=-3+b+3\\-5=b$

Therefore, the y-intercept is -5. Plug this back into $y=\frac{1}{2}x+b$ :

$y=\frac{1}{2}x-5$

I hope this helps!

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3 years ago

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Murljashka [212]

Answer: D

Step-by-step explanation:

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2 years ago

Might cut half my hair.

ycow [4]

Answer:

well if you are a boy and don't like long hair then sure... but if you are a girl then don't cut... I mean I like long hairs... but it's your choice so.. ok

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2 years ago

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