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2 years ago

A and B are two companies.

Mathematics

1 answer:

noname [10]2 years ago

3 0

Answer:

Step-by-step explanation:

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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,

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

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

4 0

3 years ago

2. Write 7x2 - 4 + 6x3 - 4x - x4 in standard form.

Hunter-Best [27]

Answer:

16-5x

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

I make $4 per hour as a waiter, plus tips. This week, after

astraxan [27]

34 hours

$332-$196= $136

136÷4=34 hrs

34×$4= $136

8 0

3 years ago

One number is 10 less than 5 times the second number. Their sum is 26. Find the numbers.

GREYUIT [131]

Answer:

Step-by-step explanation:

a = 5b-10

a+b = 26

(5b-10)+b = 26

b = 6

a= 5b + 10 = 40

8 0

2 years ago

Read 2 more answers

A teacher’s monthly gross pay is $5,321. The federal government withholds 15% of the teacher’s monthly gross pay for income taxe

lubasha [3.4K]

Answer:

798.15

Step-by-step explanation:

heres a neat trick you can do instead of doing that long process to get 15% of 5321 just use a calculator and do 5321 x .15

3 0

3 years ago