In a rational function, holes are located where f(x) is undefined(the denominator is 0), but the undefined points can be factored out. In f(x), when x is 4 or -3, f(x) is undefined. But, x+3 can be factored out, so it is a hole. The hole is located at (-3,-1/7)
Answer:
Step-by-step explanation:
y = csc x
y' = -cot x csc x
![y' = \dfrac{d}{dx} [\csc \sqrt{x}]](https://tex.z-dn.net/?f=%20y%27%20%3D%20%5Cdfrac%7Bd%7D%7Bdx%7D%20%5B%5Ccsc%20%5Csqrt%7Bx%7D%5D%20)
Answer:
7/20
Step-by-step explanation:
Answer: 1 cup of sugar
Step-by-step explanation:
A recipe for banana bread requires 3 cups of bananas for every 1 1/2 cups of sugar used.
Converting 1 1/2 cups of sugar to improper fraction becomes 3/2 cups of sugar.
If 3 cups of bananas is required for 3/2 cups of sugar,
x cups of bananas will require 1 cup of sugar
3x / 2 = 3
3x = 6
x = 6/3 = 2
Therefore,
2 cups of bananas will require 1 cup of sugar.
We are looking for the number of cups of sugar that would require 2 cups of bananas.
We already got the answer.
1 cup of sugar would be used if 2 cups of bananas are used.
Answer:
12x-9
Step-by-step explanation:
7x+3(2x-3)-x
7x-6x-9-x
13x-9-x
12x-9
