*****Write a polynomial using the roots -3,5i. PLEASE HELP IM SO LOST!!!

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Answer 1
Answer: The polynomial (x-a) has a unique root, a, for any a.

Hence (x+3)(x-5i) is a polynomial with roots -3 and 5i

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2/5 divided by 9/10A. 2/5
B. 4/5
C. 2/9
D. 4/9

actually 0.00444444444 as a fraction

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it would be D because when you divide fractions, you multiply by the reciprocal of the fractions so 2/5 * 10/9. Then you simplify and get 4/9. Hope this helps!!!!!!!

Does the following system have a unique solution? Why?

3x+2y= 9
14x + 10y = 14

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Yes, the determinant of the coefficient matrix is 2.

Rewrite the sum of 12 and 8 as a product of the LCM of the two numbers and another sum.​

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Answer:

2 or 4

Step-by-step explanation:

Will give correct answer the brainliest !!!

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Answer:

1. 3 2/3

2. 4 9/10

3. 1 27/56

4. 58 2/15

5. 11 1/24

Step-by-step explanation:

1. To find the answer, add 3 1/6 and 5 9/10. First change them into improper fractions. 5 9/10 is 59/10 and 3 1/6 is 19/6. Now, you have to make the denominator (bottom number) the same number for both fractions. To do this you must find a LCM for both the number (10, 6) a LCM for these numbers is 30. Now to change the denominator to this you must times the numerator and denominator by the number needed to get the LCM for the denominator.

So 6 x 5 = 30 and 3 x 10 = 30.

19/6 x 5 = 95/30 and 59/10 x 3 = 177/30

Now add the fractions:

This equals 272/30

Simplify:

Now take 12 5/6 and turn it into a improper fraction: 77/6

Now again, you have to make the denominator to 30

77/6 x 5 = 385/30

Now subtract 385/30 - 272/30

This equals 113/30

Now turn this back into a mixed fraction:

3 23/30

The answer is 3 23/30

This process is basically the same for all the other questions.

In the rhombus, m1 = 18x, m2 = x + y, and m3 = 30z. Find the value of the variables x, y, and z. The diagram is not drawn to scale.

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None of the angles are 90 degrees. The sides of the rhombus that are across from each other are parallel. would add up to 180 degrees, When we have a rhombus, that bit of info really helps.
4X+X=180
5x=180
x=36

Use quadratic regression to find a function that fits the following points. (-2,-16), (3,11), (0,2).

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Answer:

  y = -1.2x² +6.6x +2

Step-by-step explanation:

The quadratic regression function of a calculator or spreadsheet can do this for you. The resulting function is ...

  y = -1.2x² +6.6x +2

_____

If you want to do this by hand, put the given (x, y) values into the formula ...

  ax² +bx +c = y

and solve the resulting system of equations.

The third point tells you c=2, so you can simplify the system of equations to ...

  a(-2)² +b(-2) +2 = -16   ⇒   4a -2b = -18   ⇒   2a -b = -9

  a(3)² +b(3) +2 = 11   ⇒   9a +3b = 9   ⇒   3a +b = 3

Adding these equations together gives ...

  (2a -b) +(3a +b) = (-9) +(3)

  5a = -6 . . . . . . . . simplify

  a = -1.2 . . . . . . . divide by 5

  b = 3 -3a = 3 -3(-1.2) = 6.6 . . . . from the second equation

Now we know the coefficients are a=-1.2, b=6.6, c=2, so the function is ...

  y = -1.2x² +6.6x +2