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2 years ago

What is the value of x? 6x−2(x 4)=12

Mathematics

1 answer:

jonny [76]2 years ago

3 0

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Equation at the end of step 2 : 6x2 - x - 4 = 0 ((2•3x2) - x) - 4 = 0 Step 2 :Trying to factor by splitting the middle term

2.1 Factoring 6x2-x-4

The first term is, 6x2 its coefficient is 6 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -4 

Step-1 : Multiply the coefficient of the first term by the constant 6 • -4 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -1 .

-24 + 1 = -23 -12 + 2 = -10 -8 + 3 = -5 -6 + 4 = -2 -4 + 6 = 2 -3 + 8 = 5 -2 + 12 = 10 -1 + 24 = 23

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Equation at the end of step 2 : 6x2 - x - 4 = 0

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Answer:

Step-by-step explanation:

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2 years ago

2 is a only even prime number yes or no

balu736 [363]

Answer:

yes. 2 is an only even prime number. 

Step-by-step explanation:

Prime number means a number that can be exactly divisible by 1 and itself is called prime number. 

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2 years ago

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What is the slope of the line that passes through the points (-3, 5) and (1, 7)?

Stells [14]

Answer: The slope of the line is $\frac{1}{2}$

Step-by-step explanation:

The slope of a line can be calculated with the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Then, given the points $(-3, 5)$ and $(1, 7)$ , you can identify that:

$y_2=5\\y_1=7\\\\x_2=-3\\x_1=1$

Knowing these values you can substitute them into the formula for calculate the slope:

$m=\frac{5-7}{-3-1}$

Finally, evaluating, you get that the slope of that line is:

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8 0

3 years ago

What is the equation for

WARRIOR [948]

The equation of a line that is perpendicular to the given line is y = –4x – 16.

Solution:

The equation of a line given is y = 0.25x – 7

Slope of the given line( $m_1$ ) = 0.25

Let $m_2$ be the slope of the perpendicular line.

Passes through the point (–6, 8).

If two lines are perpendicular then the product of the slopes equal to –1.

$\Rightarrow m_1 \cdot m_2=-1$

$\Rightarrow 0.25\cdot m_2=-1$

$\Rightarrow m_2=\frac{-1}{0.25}$

$\Rightarrow m_2=-4$

Point-slope intercept formula:

$y-y_1=m(x-x_1)$

$x_1=-6, y_1=8$ and $m=-4$

Substitute these in the formula, we get

$y-8=-4(x-(-6))$

$y-8=-4(x+6)$

$y-8=-4x-24$

Add 8 on both sides of the equation.

$y-8+8=-4x-24+8$

$y=-4x-16$

Hence the equation of a line that is perpendicular to the given line is

y = –4x – 16

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2 years ago

What is the explicit rule for the pattern 16,11,6,1...

svlad2 [7]

Answer:

the explicit rule is the difference, which is -5.

Step-by-step explanation:

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2 years ago

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