Answer:
C.) ![x^{\frac{3}{2} } y^{\frac{19}{2} }](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20y%5E%7B%5Cfrac%7B19%7D%7B2%7D%20%7D)
Step-by-step explanation:
To simplify the expression, you need to:
1.) Rewrite ![\sqrt{xy^{3} }](https://tex.z-dn.net/?f=%5Csqrt%7Bxy%5E%7B3%7D%20%7D)
-----> ![\sqrt{x} = x^{\frac{1}{2} }](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D)
2.) Distribute the exponents
-----> When an exponent is raised to another exponent, they should be multiplied
3.) Create common denominators
4.) Combine the variables
-----> When two variables with exponents are being multiplied, the exponents should be added
Hey there! :)
Answer:
x = 12.
Step-by-step explanation:
Given:
![\frac{3}{5} = \frac{x}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%20%3D%20%5Cfrac%7Bx%7D%7B20%7D)
Cross multiply to solve for x:
3 · 20 = 5 · x
60 = 5x
Divide by 5:
12 = x.
You didn't specify the whole entire question i'm so sorry.
The correct answer is x>-2. The graph is attached.
To solve this:
-x/2 + 3/2 < 5/2
Subtract 3/2 from both sides:
-x/2 + 3/2 - 3/2 < 5/2 - 3/2
-x/2 < 2/2
-x/2 < 1
Multiply both sides by 2:
(-x/2)*2 < 1*2
-x < 2
Divide both sides by -1:
-x/-1 < 2/-1
Remember to flip the the symbol since you divide both sides by a negative:
x > -2
To graph the inequality, we draw a number line, making sure we have -2 on it. We circle -2 and leave it open, since it is strictly greater than. Then we shade the line to the left.