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3 years ago

Give an example of a quadratic with complex roots. Explain how you know it has complex roots.

1 answer:

5 0

2x^2 + x + 3=0 has only complex roots.

The determinant is 1-4*2*3 = -23

-23 (or any determinant) is the part under the square root sign, If that determinant is negative, knowing you cannot take the square root of a negative number, we know the answers must be complex.

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Simplify (-2x^3)^2·y·y^9 -4x^6y^8 -4x^4y^8 4x^6y^10 -4x^4y^10<br><br> Answer: 4x^6y^10

Veseljchak [2.6K]

I don’t know I want points

7 0

2 years ago

Help me out with this problem ?

3241004551 [841]

Answer:

(-4.5, 2.5)

Step-by-step explanation:

The solution for two graphed linear equations is the intersection (The point where two lines meet or cross).

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3 years ago

what is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187.5, …

Crazy boy [7]

Let

$a1=768\\a2=480\\a3=300\\a4=187.5$

Step $1$

Find $\frac{a2}{a1}$

$\frac{a2}{a1} =\frac{480}{768}$

Divide by $96$ numerator and denominator

$\frac{480}{768} =\frac{\frac{480}{96}}{\frac{768}{96}} \\ \\ \frac{480}{768}=\frac{5}{8}$

$a2=a1*\frac{5}{8}$

Step $2$

Find $\frac{a3}{a2}$

$\frac{a3}{a2} =\frac{300}{480}$

Divide by $60$ numerator and denominator

$\frac{300}{480} =\frac{\frac{300}{60}}{\frac{480}{60}} \\ \\ \frac{300}{480}=\frac{5}{8}$

$a3=a2*\frac{5}{8}$

Step $3$

Find $\frac{a4}{a3}$

$a4=187.5 \\ a4=187\frac{1}{2} \\ \\ a4=\frac{375}{2}$

$\frac{a4}{a3} =\frac{\frac{375}{2}}{300} \\ \\ \frac{a4}{a3} =\frac{375}{600}$

Divide by $75$ numerator and denominator

$\frac{375}{600} =\frac{\frac{375}{75}}{\frac{600}{75}} \\ \\ \frac{375}{600}=\frac{5}{8}$

$a4=a3*\frac{5}{8}$

In this problem

The geometric sequence formula is equal to

$a(n+1)=a(n)*\frac{5}{8}\\$

For $n\geq 1$

therefore

the answer is

the common ratio for the geometric sequence above is $\frac{5}{8}$

6 0

3 years ago

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How to find the scale factor of something

AysviL [449]

Answer:

To find the scale factor, locate two corresponding sides, one on each figure. Write the ratio of one length to the other to find the scale factor from one figure to the other. In this example, the scale factor from the blue figure to the red figure is 1.6 : 3.2, or 1 : 2.

Step-by-step explanation:

5 0

3 years ago

PLEASE HELP!! Is the discriminant of f positive,zero, or negative

GalinKa [24]

Answer:

positive

Step-by-step explanation:

The discriminant is positive

If there are 2 real roots ( where it crosses the x axis), then the discriminant is positive

7 0

3 years ago

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