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Rainbow [258]
1 year ago
11

6x-24 2x+12 Solve for X

Mathematics
1 answer:
Makovka662 [10]1 year ago
4 0

Answer:

x = 9

Step-by-step explanation:

Simplifying

6x + -24 = 2x + 12

Reorder the terms:

-24 + 6x = 2x + 12

Reorder the terms:

-24 + 6x = 12 + 2x

Solving

-24 + 6x = 12 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-24 + 6x + -2x = 12 + 2x + -2x

Combine like terms: 6x + -2x = 4x

-24 + 4x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0

-24 + 4x = 12 + 0

-24 + 4x = 12

Add '24' to each side of the equation.

-24 + 24 + 4x = 12 + 24

Combine like terms: -24 + 24 = 0

0 + 4x = 12 + 24

4x = 12 + 24

Combine like terms: 12 + 24 = 36

4x = 36

Divide each side by '4'.

x = 9

Simplifying

x = 9

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-12x4y - 9x3y^2 + 3x^2y^3 = 3xy(-16 -9y + xy^2)
8 0
3 years ago
The complex zeros of the following polynomial function. Write f in factored form.
zavuch27 [327]

Answer:  \bold{x=-3\qquad x=\dfrac{3+3i\sqrt3}{2}\qquad x=\dfrac{3-3i\sqrt3}{2}}

<u>Step-by-step explanation:</u>

The formula for factoring a cubic is:

a³ + b³ = (a + b)(a² - ab + b²)

f(x) = x³ + 3³

     = (x + 3)(x² - 3x + 9)

To find the zeros, set each factor equal to zero and solve.

0 = x + 3      0 = x² - 3x + 9

-3 = x                use quadratic formula

x^2-3x+9\quad \rightarrow \quad a=1, b=-3, c=9\\\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-3)\pm\sqrt{(-3)^2-4(1)(9)}}{2(1)}\\\\\\x=\dfrac{3\pm\sqrt{9-36}}{2}\\\\\\x=\dfrac{3\pm\sqrt{-27}}{2}\\\\\\x=\dfrac{3\pm3i\sqrt{3}}{2}

Answer:

x=-3\qquad x=\dfrac{3+3i\sqrt3}{2}\qquad x=\dfrac{3-3i\sqrt3}{2}

7 0
3 years ago
What is an equation for the line perpendicular to y=-1/8x+6 that passes through (-3,-10)
Ainat [17]

Answer:

y = 8x + 14

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \frac{1}{8} x + 6 ← is in slope- intercept form

with slope m = - \frac{1}{8}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{8} } = 8 , then

y = 8x + c ← is the partial equation

To find c substitute (- 3, - 10 ) into the partial equation

- 10 = - 24 + c ⇒ c = - 10 + 24 = 14

y = 8x + 14 ← equation of perpendicular line

4 0
2 years ago
A single gram of a certain metallic substance has 0.52 grams of copper and 0.26 grams of zinc. The remaining portion of the subs
Vitek1552 [10]
First of all, if we have 1 gram of a substance that has 0.52 gram of copper and 0.26 gram of zinc, the remainder will be: 

Since we know that the remaining portion of the material is nickel, we have 0.22 gram of metal.

Now, Ben estimates that 1 gram of the substance has 0.2 gram of nickel. To find how many grams of metal are in 35 grams of the material, we are going to multiply the grams of the substance by the gram of nickel:

We can conclude that according to Ben, 35 grams of the content has 7 grams of metal.

But we know that in 1 gram of the substance are not 0.2 gram of nickel but 0.22. So let's multiply the grams of the material by 0.22 to find the actual grams of nickel in it:

We can conclude that 35 grams of the substance have 7.7 grams of metal. 
8 0
3 years ago
16x+3-14x+15 simplify this expression
MissTica

Answer:

<<<<<<It is 2x+18>>>>>>


4 0
3 years ago
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