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3 years ago

Solve for x using common denominators. 3/4(x + 2)=x/(x+2)

Mathematics

2 answers:

iris [78.8K]3 years ago

6 0

Answer:

13 or -1

Step-by-step explanation: 3/4(x+2)=x/(x+2)

3x+6/4=x/(x+2) we cross multiply

4x+(3x+6)(x+2)

4x=3x²+6x+6x+12

4x²=3x²+12x+12

4x²-3x²-12x-12=0

x²-12x-12=0

-b+or -√b²-4x/2x

12=or-√12²-4×1x-12/2×1

12+or-√144-48/2

12=or-√192/2

12+14/2 or 12-14/2

13or -2/2

13 or -1

IceJOKER [234]3 years ago

4 0

Answer:

x = 3/4

Step-by-step explanation:

The lowest common denominator is 4(x + 2) so we multiply each side by this:

3 = 4x

x = 3/4.

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Anvisha [2.4K]

Answer:

Step-by-step explanation:

We'll take this step by step. The equation is

$8-3\sqrt[5]{x^3}=-7$

Looks like a hard mess to solve but it's actually quite simple, just do one thing at a time. First thing is to subtract 8 from both sides:

$-3\sqrt[5]{x^3}=-15$

The goal is to isolate the term with the x in it, so that means that the -3 has to go. Divide it away on both sides:

$\sqrt[5]{x^3}=5$

Let's rewrite that radical into exponential form:

$x^{\frac{3}{5}}=5$

If we are going to solve for x, we need to multiply both sides by the reciprocal of the power:

$(x^{\frac{3}{5}})^{\frac{5}{3}}=5^{\frac{5}{3}}$

On the left, multiplying the rational exponent by its reciprocal gets rid of the power completely. On the right, let's rewrite that back in radical form to solve it easier:

$x=\sqrt[3]{5^5}$

Let's group that radicad into groups of 3's now to make the simplifying easier:

$x=\sqrt[3]{5^3*5^2}$ because the cubed root of 5 cubed is just 5, so we can pull it out, leaving us with:

$x=5\sqrt[3]{5^2}$ which is the same as:

$x=5\sqrt[3]{25}$

8 0

3 years ago

Jacob can take any one of three routes from school to the mall, and one of five possible routes from the mall to his house. If h

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Answer:

15 routes

Step-by-step explanation:

3 x 5 = 15 routes

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2 years ago

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yanalaym [24]

Answer:

A) 150°

Step-by-step explanation:

Hope I helped you

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3 years ago

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3 years ago

The combined height of one fir tree and one pine tree is 212121 meters. The height of 444 fir trees stacked on top of each other

Drupady [299]

Answer:

Height of fir tree = 9 meters

height of pine tree= 12 meters

Step-by-step explanation:

The combined height of one fir tree and one pine tree is 21 meters. The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

Let x be the height of fir tree and y be the height of pine tree

$x+y=21$