Answer: It would be y=2x.
Answer:
x = 5
Step-by-step explanation:
First, break it down:
Two is eight less than twice a number
2 = 2x - 8
+8 + 8
10 = 2x
5 = x
Hope this helps :)
3x = 20.40. Divide each side by 3.
x = 6.8
she earns $6.8 per hour
Answer:
13)
⇒
15)
⇒
Step-by-step explanation:
Given expression:
13) ![(5x)^{-\frac{5}{4}](https://tex.z-dn.net/?f=%285x%29%5E%7B-%5Cfrac%7B5%7D%7B4%7D)
15) ![(10n)^{\frac{3}{2}](https://tex.z-dn.net/?f=%2810n%29%5E%7B%5Cfrac%7B3%7D%7B2%7D)
Write the expressions in radical form.
Solution:
For an expression with exponents as fraction like
![(x)^{\frac{m}{n}](https://tex.z-dn.net/?f=%28x%29%5E%7B%5Cfrac%7Bm%7D%7Bn%7D)
the numerator
represents the power it is raised to and the denominator
represents the nth root of the expression.
For an expression with exponents as negative fraction like
![(x)^{-\frac{m}{n}](https://tex.z-dn.net/?f=%28x%29%5E%7B-%5Cfrac%7Bm%7D%7Bn%7D)
We take the reciprocal of the term by rule for negative exponents.
So it is written as:
![\frac{1}{(x)^{\frac{m}{n}}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%28x%29%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%7D)
using the above properties we can write the given expressions in radical form.
13) ![(5x)^{-\frac{5}{4}](https://tex.z-dn.net/?f=%285x%29%5E%7B-%5Cfrac%7B5%7D%7B4%7D)
⇒
[Using rule of negative exponents]
⇒
[writing in radical form]
15) ![(10n)^{\frac{3}{2}](https://tex.z-dn.net/?f=%2810n%29%5E%7B%5Cfrac%7B3%7D%7B2%7D)
⇒
[Since 2nd root is given as
in radical form]