PLEASE HELP What is coefficient in the expression:

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

4 years ago

If 1/8 pound of fertilizer covers 25square feet of ground how much fertilizer in pounds is needed to cover 1 square foot of grou

slamgirl [31]

Answer:

0.005

Step-by-step explanation:

(1/8) /25

8 0

3 years ago

Read 2 more answers

Please help me answer this question!!!

-Dominant- [34]

Answer:

19

Step-by-step explanation:

The triangle is an isosceles and so angle SRT and angle STR are equal

also:

Angle SRT and angle STU are supplementary so their sum is equal to 180

7x + 2x + 9 = 180 add like terms

9x + 9 = 180 subtract 9 from both sides

9x = 171 divide both sides by 9

x = 19

3 0

2 years ago

If two distinct lines intersect, which MUST be true?

emmainna [20.7K]

Answer:

Answer options

A) the lines are parallel

B) the lines are perpendicular

C) the lines form angles at the intersection

D) the lines form right angles at the intersection

the answer is C

Step-by-step explanation:

I got it right on my test

7 0

3 years ago

A shuttle operator has sold 20 tickets to ride the shuttle. All passengers (ticket holder) are independent of each other, and th

Rashid [163]

Answer:

a. Discrete probability distribution, frequent rider club, 0.65 of 20

b. 13

c. $60

d. $57.50

Step-by-step explanation:

a. X follows a discrete probability distribution because it involves discrete random variables which have probability mass function and frequency.

f(x) =0.65 of 20 passengers

b. if 0.65 0f 20 passengers are frequent riders,

then, the frequent riders will be 13 passengers

c. expected revenue will be $3 *20 passengers which will be $60.

the total number of passengers given tickets is 20 and the price for each is $3. thus, making the parameters to be price and number of passengers.

d. if the frequent riders are charged $2, then the amount paid by this group will be $2*13 which is $26

and if $4.50 is paid by the regular passengers it will be $4.50*(20-13) which is $31.50.

therefore, expected revenue will be $26+$31.50 equals $57.50

4 0

3 years ago