help ! which of the following are the roots of the given quadratic equation ?

[tex]2 {x}^{2} + 18x + 36 = 0[/tex]
a. 6

b. -6

c. 3

d. -3..​

Answers

Answer 1

Answer:

The roots are {-6, -3}

Step-by-step explanation:

We are given four possible roots.  To determine whether or not a particular possible root is actually a root, we use synthetic division.  If the remainder is zero, we may conclude that this is actually a root.

Determine whether or not -3 is a root.  Setting up synthetic division, we get

-3  /  2    18     36

              -6    -36

     ---------------------

      2       12     0

Since the remainder is zero, -3 is a root.

Try -6:  Is this a root of 2x + 12?  Setting up synthetic division, we get

-6    /    2     12

                  -12

      ----------------

          2        0

The remainder is again zero, so -6 is also a root of the original equation.

The roots are {-6, -3}

Answer 2

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choices are ~

b and d

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

[tex]2 {x}^{2} + 18 {x}^{} + 36 = 0[/tex]

[tex]2 {x}^{2} + 12x + 6x + 36 = 0[/tex]

[tex]2x(x + 6) + 6(x + 6) = 0[/tex]

[tex](2x + 6)(x + 6) = 0[/tex]

There's two cases here,

Case # 1 - when 2x + 6 = 0

[tex]2x + 6 = 0[/tex]

[tex]2x = - 6[/tex]

[tex]x = - 6 \div 2[/tex]

[tex]x = - 3[/tex]

Case # 2 - when x + 6 = 0

[tex]x + 6 = 0[/tex]

[tex]x = - 6[/tex]

Hence, the roots are -3 and -6 ~


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Answers

X + 4 = 0

Explanation

The equation of a line parallel to y axis is

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Answers

Answer:

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Step-by-step explanation:

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375

10

Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

X is doubled from 3 to 6 meaning that y is also doubled.

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a square table has am area of 15476cm^2 find the perimeter of the square​

Answers

Answer:

497.6 cm to 1 decimal place.

Step-by-step explanation:

→ Square root the area to find the length

√15476 = 124.4025723

→ Multiply the answer by 4 to get the perimeter

124.4025723 × 4 = 497.6102893

Answer:

497.6 cm

Step-by-step explanation:

Perimeter = 4 x a

Since area is given we must square root a

P = 4 x square root ([tex]\sqrt{15476}[/tex])

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Answer:

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Answers

The correct answer is E. A fundamental basis of regression analysis is the assumption of the existence of two independent variables for every dependent variable.

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Recall:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

hope this helps. . . <3

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Answers

Answer:

If the number your dividing has a decimal, move the decimal point all the way to the right, counting how many spaces you have moved it. Then, move the decimal point in the number you're dividing the same number of places to the right.

Step-by-step explanation:


solve the equation


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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer: [tex]16x^4y^2a^6[/tex]

Step-by-step explanation:

just apply to the power of 2 to every term

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16x^4y^2a^6

Answer:

16x^4y^2a^6

Step-by-step explanation:

Do this step by step

16x^4y^2a^6

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Answers

Step-by-step explanation:

1. First divide by the leading term, making the polynomial monic.

2. Then, given x

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Answers

9x^2-12y^2-11x is the answer!

Hope this helps.

Step by step:

Just ask! I will add it here :)

Answer:

[tex]9x^{2} - 12y^{2} - 11x[/tex]

Step-by-step explanation:

[tex](8x^{2} - 9y^{2} - 4x) + (x^{2} - 3y^{2} -7x)\\(8x^{2} + x^{2} ) + (-9y^{2} - 3y^{2} ) + (-4x - 7x)\\9x^{2} - 12y^{2} - 11x[/tex]

In the first step, I rearranged the equation and put like terms together.

Then I just combined the like terms.

I hope this helps!

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