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3 years ago

Factor out the gcf then factor the remaining trinomial.

Mathematics

1 answer:

kenny6666 [7]3 years ago

8 0

Answer:

6(x - 1)(3x + 1)

Step-by-step explanation:

Given

18x² - 12x - 6 ← factor out 6 from each term

= 6(3x² - 2x - 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 = - 2

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)

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

Hence

18x² - 12x - 6 = 6(x - 1)(3x + 1) ← in factored form

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ArbitrLikvidat [17]

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3. (A)

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3 years ago

Read 2 more answers

If 2^x+4 = 2^3x-1, what is the value of x?

Ronch [10]

Answer:

x = 5/2

Step-by-step explanation:

2^x+4 = 2^3x-1

x + 4 = 3x - 1

3x - x = 4 + 1

2x = 5

x = 5/2

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3 years ago

Solve for x in the equation.

labwork [276]

Answer:

The solution is $\displaystyle x=1\pm \sqrt{47}$ . Fourth option

Explanation:

Solve for x:

$2x^2+3x-7=x^2+5x+39$

Move all the terms from the right to the left side of the equation, a zero in the right side:

$2x^2+3x-7-x^2-5x-39=0$

Join all like terms:

$x^2-2x-46=0$

The general form of the quadratic equation is:

$ax^2+bx+c=0$

Solve the quadratic equation by using the formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

In our equation: a=1, b=-2, c=-46

Substituting into the formula:

$\displaystyle x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-46)}}{2(1)}$

$\displaystyle x=\frac{2\pm \sqrt{4+184}}{2}$

$\displaystyle x=\frac{2\pm \sqrt{188}}{2}$

Since 188=4*47

$\displaystyle x=\frac{2\pm \sqrt{4*47}}{2}$

Take the square root of 4:

$\displaystyle x=\frac{2\pm 2\sqrt{47}}{2}$

Divide by 2:

$\displaystyle x=1\pm \sqrt{47}$

First option: Incorrect. The answer does not match

Second option: Incorrect. The answer does not match

Third option: Incorrect. The answer does not match

Fourth option: Correct. The answer matches exactly this option

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2 years ago

Simplify 4( 3+ 7y) + 6(2 - y) if y =2

UkoKoshka [18]

Answer:

Step-by-step explanation:

The expression is given as:

4( 3+ 7y) + 6(2 - y)

It is known that y is equal to 2. Therefore, substitute 2 in for y.

4(3+7(2))+6(2-2)

Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Solve inside of the parentheses first.

4(3+7(2))+6(2-2)

4(3+14)+6(0)

4(17)+6(0)

Multiply

68+0

Add

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3 years ago

Whut is 2 pus 2 i dount no

Rom4ik [11]

The answer to this is 4

7 0

3 years ago