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
.
Answer: -1410
Step-by-step explanation:
Let's start by subbing in -4 for x
![-4x^4 - 3x^3 - 29x^2 - 114\\-4(-4)^4-3(-4)^3-29(-4)^2-114](https://tex.z-dn.net/?f=-4x%5E4%20-%203x%5E3%20-%2029x%5E2%20-%20114%5C%5C-4%28-4%29%5E4-3%28-4%29%5E3-29%28-4%29%5E2-114)
Now we can solve
![-4(256)-3(-64)-29(16)-114\\-1024--192-464-114\\-832-464-114\\-1296-114\\-1410](https://tex.z-dn.net/?f=-4%28256%29-3%28-64%29-29%2816%29-114%5C%5C-1024--192-464-114%5C%5C-832-464-114%5C%5C-1296-114%5C%5C-1410)
Answer:
Table 1
Step-by-step explanation:
To determine if it is proportional, y/x must be constant
Table 1
y/x = .5/1 = 1/2
1/2 =
3.5/7 = 1/2
4/8 = 1/2
This is constant
Table 2
y/x = 1/3
2.5/ 7.5 = 1/3
4/15 = 2/5 so it is not constant
Table 3
y/x = 12/3 =4
15/6 =5/2 not constant
Table 4
y/x = 7/2
9/3 = 3 not constant
Answer:
20.25
Step-by-step explanation:
c = (9/2)²
c = 81/4
c = 20.25