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3 years ago

Which of the following is the product of the rational expressions shown below?

Mathematics

1 answer:

MrMuchimi3 years ago

8 0

Answer:

Step-by-step explanation:

$\frac{3x}{x+2}*\frac{x}{x-1}=\frac{3x^2}{x^{2}+(2-1)x+(2)*(-1)}\\\\=\frac{3x^{2}}{x^{2}+x-2}$

Use the formula: (x+a)(x+b)= x^2+(a+b)x+ab

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The roots of $3x^2 - 4x + 15 = 0$ are the same as the roots of $x^2 + bx + c = 0,$ for some constants $b$ and $c.$ Find the orde

Akimi4 [234]

we are given

quadratic equation as

$3x^2-4x+15=0$

now, we can find b and c from

$x^2+bx+c=0$

we can see that coefficient of x^2 is 1

so, we will have to make coefficient x^2 as 1

so, we divide both sides by 3

$3x^2-4x+15=0$

$\frac{3x^2-4x+15}{3}= \frac{0}{3}$

$\frac{3x^2}{3}-\frac{4x}{3}+\frac{15}{3}= \frac{0}{3}$

now, we can simplify it

$x^2-\frac{4}{3}x+5= 0$

now, we can compare it with

$x^2+bx+c=0$

we get

$b=-\frac{4}{3}$

$c=5$

so, we get order pair as

$(b,c)=(-\frac{4}{3} , 5)$ ..............Answer

6 0

3 years ago

Read 2 more answers

The pressure of a man sitting on a surface with an area of 24 square meters is 15Pa calculate the force exerted by the man

pogonyaev

Answer:

help me and i will help you

Step-by-step explanation:

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3 years ago

The measurement of the width of a garden plot is 44 m. Its actual width is 45.5 m.

romanna [79]

Answer: -3.3%

By not knowing how i did it, means you will still not know how to do it next time you encounter a similar problem.

Knowing how to solve a problem is just as important or even more important than just knowing the solution.

5 0

3 years ago

Multiply.

Nady [450]

$\boxed{3\sqrt{22}\sqrt{58}\sqrt{18}=18\sqrt{638}}$

<h2>Explanation:</h2>

Here we have the following expression:

$3\sqrt{22}\sqrt{58}\sqrt{18}$

So we need to simplify that radical expression. By property of radicals we know that:

$\sqrt[n]{a}\sqrt[n]{b}=\sqrt[n]{ab}$

So:

$3\sqrt{22}\sqrt{58}\sqrt{18}=3\sqrt{22\times 58 \times 18}=3\sqrt{22968}$

The prime factorization of 22968 is:

$22968=2^3\cdot 3^2\cdot11\cdot 29$

Hence:

$3\sqrt{22968}=3\sqrt{2^3\cdot 3^2\cdot11\cdot 29}=3\sqrt{2^2\cdot 3^2\cdot 2\cdot 11\cdot 29}$

By property:

$\sqrt[n]{a^n}=a$

So:

$3\sqrt{2^2\cdot 3^2\cdot 2\cdot 11\cdot 29} \\ \\ 3(2)(3)\sqrt{2\cdot 11\cdot 29}=18\sqrt{638}$

Finally:

$\boxed{3\sqrt{22}\sqrt{58}\sqrt{18}=18\sqrt{638}}$

<h2>Learn more:</h2>

Radical expressions: brainly.com/question/13452541

#LearnWithBrainly

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3 years ago

Pythagorean theorem question:)

AURORKA [14]

11^2 + 9^2 = x^2
121 + 81 = x^2
202 = x^2
14.21 = x

The answer is 14.21

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3 years ago