Answer:
s = -1
Step-by-step explanation:
-10s-3=7
add 3 on both sides: -10s=10
divide both sides by -10: s=-1
Answer:
The simplified form of the compound fractional expression is
.
Step-by-step explanation:
Simplify the fraction as shown:
![\dfrac{x-\frac{x}{y} }{y-\frac{y}{x} }](https://tex.z-dn.net/?f=%5Cdfrac%7Bx-%5Cfrac%7Bx%7D%7By%7D%20%7D%7By-%5Cfrac%7By%7D%7Bx%7D%20%7D)
Take the LCM.
![\dfrac{\frac{xy-x}{y} }{\frac{xy-y}{x} }](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cfrac%7Bxy-x%7D%7By%7D%20%7D%7B%5Cfrac%7Bxy-y%7D%7Bx%7D%20%7D)
Simplify,
![\frac{xy-x}{y} \times\frac{x}{xy-y}](https://tex.z-dn.net/?f=%5Cfrac%7Bxy-x%7D%7By%7D%20%5Ctimes%5Cfrac%7Bx%7D%7Bxy-y%7D)
![\frac{x^2(y-1)}{y^2(x-1)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%28y-1%29%7D%7By%5E2%28x-1%29%7D)
Hence, the simplified form of the compound fractional expression is
.
In order to check the different representations, we first simplify the inequality:
6x ≥ 3 + 4(2x - 1)
6x ≥ 3 + 8x - 4
1 ≥ 2x
<span>1/2 ≥ x
Looking at the simplification process, we see that the first and second options are correct representations. Moreover, if we plot the simplified inequality on a number line, then we see that the third representation is also correct. Therefore, the first, second and third representations of the inequality are correct.</span>