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3 years ago

Solve the following rational equation plz help!!

Mathematics

1 answer:

Yuri [45]3 years ago

4 0

Answer:

x = $\frac{9}{4}$

Step-by-step explanation:

Given

$\frac{4x}{x+1}$ - $\frac{5}{x}$ = $\frac{4}{x^2+x}$ ← factor denominator

$\frac{4x}{x+1}$ - $\frac{5}{x}$ = $\frac{4}{x(x+1)}$

[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]

Multiply through by x(x + 1)

4x² - 5(x + 1) = 4

4x² - 5x - 4 = 4 ( subtract 4 from both sides )

4x² - 5x - 9 = 0 ← in standard form

(x + 1)(4x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

4x - 9 = 0 ⇒ 4x = 9 ⇒ x = $\frac{9}{4}$

However, x ≠ - 1 for reason given above, then

solution is x = $\frac{9}{4}$

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A bag contains five red marbles, four blue marbles, and four yellow marbles. You randomly pick a marble. What is the probability

Vikentia [17]

n(s)= 5+4+4=13

n(e)= red + blue

=5+4

so, p(e) = n(e)/n(s)

p(e)= 9/13

=0.69

it's your answer

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3 years ago

Will give brainliest

ehidna [41]

Answer:

25.047 or roughly 25.

Step-by-step explanation:

I solved it wrong the first time then i double check with wolframalpha and got the correct number.

We know that the area of the tile is 18 $\sqrt{3}$ and it makes a triangle, we also know the base and height. In this case the base is 2 $\sqrt{3}^{x/12}$ and the height is also given which is $\sqrt{3}^{\frac{x}{6} }$ .

Area of triangle = $\frac{bh}{2}$ ,

substituting we will end up with 18 $\sqrt{3}$ =( 2 $\sqrt{3}^{x/12}$ * $\sqrt{3}^{\frac{x}{6} }$ ) / 2

Here is the tricky part $\sqrt{x} = x^{\frac{1}{2} }$ , i totally forgot about that lol.

Simplifying: we will get 18 $\sqrt{3}$ = $3^{\frac{x}{8} }$

Now, in order to find the x, we will need to take the log of both sides.

$log18\sqrt{3} = \frac{x}{8} log3$

Solving for x we end up getting:

$8\frac{log18\sqrt{3} }{log3}$ = x

where x = 25.047.

To be honest I deserve a nobel prize not a brainliest lol.

Good question bro, take it easy.

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3 years ago