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4 years ago

An equation is shown below:

1 answer:

5 0

I am going to use DCVIMS.

I would first distribute the parenthesis.
I would combine like terms.
I would put the variables on both sides.
I would do the inverse.
I would put my final answer.
Then substitute to check if it is correct! :D

6(2x−11)+15=3x+12

Simplify both sides of the equation.

6(2x−11)+15=3x+12

Simplify

6(2x−11)+15=3x+12

(6)(2x)+(6)(−11)+15=3x+12 (Distribute)

12x+−66+15=3x+12

(12x)+(−66+15)=3x+12 (Combine Like Terms)

12x+−51=3x+12

12x−51=3x+12

Subtract 3x from both sides.

12x−51−3x=3x+12−3x

9x−51=12

Add 51 to both sides.

9x−51+51=12+51

9x=63

Divide both sides by 9.

9x / 9 = 63 / 9

x=7

Plug in 7 to the orginal equation to make sure your answer is right!

Hope this helped! :D :D

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Write the slope-intercept form of the equation that passes through the point (-1, 2) and is parallel to the line y = 3/2x + 6

horsena [70]

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Answer: $\textsf{y = 3/2x + 7/2}$

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Given: $\textsf{Passes through (-1, 2) and parallel to y = 3/2x + 6}$

Find: $\textsf{The equation in slope-intercept form}$

Solution: In order to determine the equation we know that our line is going to be parallel which means that the slope is the same and we need to use the point-slope form to help us. After plugging in the values we just simplify and solve for y to convert to slope-intercept form.

Plug in the values

$\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}$

$\textsf{y - 2 = 3/2(x - (-1))}$

Simplify and distribute

$\textsf{y - 2 = 3/2(x + 1)}$

$\textsf{y - 2 = (3/2 * x) + (3/2 * 1)}$

$\textsf{y - 2 = 3/2x + 3/2}$

Add 2 to both sides

$\textsf{y - 2 + 2 = 3/2x + 3/2 + 2}$

$\textsf{y = 3/2x + 3/2 + 2}$

$\textsf{y = 3/2x + 7/2}$

Therefore, after completing the steps we were able to determine that the equation that fits the description is y = 3/2x + 7/2.

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2 years ago

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-3x(7x-4)+6x-(13-24x²)

Margarita [4]

Answer:

$3x^2+18x-13.$

Step-by-step explanation:

Step 1:

Equation should be:

$((0-(3x*(7x-4)))+6)-(13-(2^3*3x^2))$

Step 2:

Equation should be:

$((0-3x*(7x-4))+6x)-(13-24x^2)$

Step 3:

Factoring $3x^2+18x-13$
The first term is $3x^2$ . It's coefficient is 3.
The middle term is +18x, it's coefficient is 18.
The last term, "the constant", is -13.

Step 1:

Multiply the coefficient of the first term by the constant 3 * -13 = -39

Step 2:

Find two factors of -39 whose sum equals the coefficient of the middle term, which is 18 .
-39 + 1 = -38
-13 + 3 = -10
-3 + 13 = 10
-1 + 39 = 38
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Solution:

$3x^2 + 18x - 13$ .

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