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3 years ago

Factor completely6x2+8x+2. Fill in the blanks using the correct sign: 2(3x+ )(x+ )

Mathematics

2 answers:

Vikki [24]3 years ago

6 0

Answer:

2(3x + 1)(x + 1)

Step-by-step explanation:

Given

6x² + 8x + 2 ← factor out 2 from each term

= 2(3x² + 4x + 1) ← factor the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × 1 = 3 and sum = 4

The factors are + 3 and + 1

Use these factors to split the x- term

3x² + 3x + x + 1 ( factor the first/second and third/fourth terms )

= 3x(x + 1) + 1(x + 1) ← factor out (x + 1) from each term

= (3x + 1)(x + 1) , then

3x² + 4x + 1 = (3x + 1)(x + 1)

and

6x² + 8x + 2 = 2(3x + 1)(x + 1) ← in factored form

Alona [7]3 years ago

4 0

Answer:

2(3x+1)(x+1)

Step-by-step explanation:

First, we factor out the common term, which is 2.

2(3x²+4x+1)

Then, we factor the polynomial inside the parenthesis.

2(3x+1)(x+1)

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Consider the differential equation 4y'' â 4y' + y = 0; ex/2, xex/2. Verify that the functions ex/2 and xex/2 form a fundamental

Kazeer [188]

Check the Wronskian determinant:

$W(e^{x/2},xe^{x/2})=\begin{vmatrix}e^{x/2}&xe^{x/2}\\\frac12e^{x/2}&\left(1+\frac x2\right)e^{x/2}\end{vmatrix}=\left(1+\frac x2\right)e^x-\frac x2e^x=e^x\neq0$

The determinant is not zero, so the solutions are indeed linearly independent.

7 0

3 years ago

PLEASEEEE HELP!! Which answer is correct??

loris [4]

y = 4x+4

y = -3x-3

so 4x+4=-3x-3

7x=-7

x=-1

so (-1,0)

8 0

3 years ago

Help!! Please I’m stuck give [10pts]

pishuonlain [190]

Answer:

x = 18

Step-by-step explanation:

To solve this problem, we can use the exterior angle theorem, which means the measure of an exterior angle is the sum of its remote interior angles. In this case, this would mean:

x + 72 = 5x

Since this gives us an equation, we can just solve for x:

x + 72 = 5x

72 = 4x

x = 18

7 0

3 years ago

The Millivanil Cinema sold 150 tickets to a movie. Some of these were

yuradex [85]

Answer:

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

system of linear equation

<h3>let's solve:</h3>

according to the first condition

a+c=150

according to the second condition

10.25a+7.75c=1470

8 0

3 years ago

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vodomira [7]

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3 years ago

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