Solve the following inequality

Mathematics

1 answer:

Kitty [74]1 year ago

8 0

Answer: 8 > u > 6. I hope it helps!

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10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x

ddd [48]

Rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,

$\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}$

$\bf \cfrac{4\sqrt{28350x}}{189x}\qquad 
\begin{cases}
28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\
\qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\
\qquad 2\cdot (45)^2\cdot 7\\
\qquad 14\cdot 45^2
\end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x}
\\\\\\
\cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}$

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3 years ago

In this diagram, what is the value of b, correct to the nearest tenth?

lilavasa [31]

We will use the Sine Law:
$\frac{sin 54.33}{b}= \frac{sin29.16}{3} \\ b = \frac{3sin54.33}{sin29.16}$
b = 5.001
Answer: D) 5.0

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2 years ago

How many trades of Apple were made

yKpoI14uk [10]

Where the pic or question?

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The steps below show the incomplete solution to find the value of y for the equation 4y − 2y − 4 = −1 + 13: Step 1: 4y − 2y − 4

Maurinko [17]

Answer:

You stopped at 2y-4=12

If we add same number to both sides the equation will remain true. For example if we have 5=5, and we add 7 to both sides, we get 12=12 which is also true. Now let's do this with our equation. Add 4 to both sides(to have only y on the left side). We get 2y=16, hence y=8.

Answer. 2y=16

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2 years ago

Which ordered pair is a solution of the system 3x+y=-3 and y=x+5?

Vesna [10]

Answer:

The correct answer is C. (-2,3)

Step-by-step explanation:

Hope this helps :)

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