Function A:
. Vertical asymptotes are in the form x=, and they are a vertical line that the function approaches but never hits. They can be easily found by looking for values of <em>x</em> that can not be graphed. In this case, <em>x</em> cannot equal 0, as we cannot divide by 0. Therefore <em>x</em>=0 is a vertical asymptote for this function. The horizontal asymptote is in the form <em>y</em>=, and is a horizontal line that the function approaches but never hits. It can be found by finding the limit of the function. In this case, as <em>x</em> increases, 1/<em>x</em> gets closer and closer to 0. As that part of the function gets closer to 0, the overall function gets closer to 0+4 or 4. Thus y=4 would be the horizontal asymptote for function A.
Function B: From the graph we can see that the function approaches the line x=2 but never hits. This is the vertical asymptote. We can also see from the graph that the function approaches the line x=1 but never hits. This is the horizontal asymptote.
Answer:
The tea's actual cost is $116.25
Step-by-step explanation:
* Lets revise how to find the z-score
- The rule the z-score is z = (x - μ)/σ , where
# x is the score
# μ is the mean
# σ is the standard deviation
* Lets solve the problem
- The average cost of a glass of iced tea is $1.25
- The standard deviation of it is 7 cents
- A new restaurant charges a price for iced tea that has a
z-value of -1.25
* Lets change the average cost to cent
∵ $1 = 100 cents
∴ The average cost of a glass of iced tea = 1.25 × 100 = 125 cents
∵ z = (x - μ)/σ
∵ z = -1.25
∵ μ = 125
∵ σ = 7
∴ -1.25 = (x - 125)/7 ⇒ multiply both sides by 7
∴ -8.75 = x - 125 ⇒ add 125 to both sides
∴ 116.25 = x
* The tea's actual cost is $116.25
Answer:
X= -10
Step-by-step explanation:
3^(-2) = 1/(3^2) = 1/(3*3) = 1/9
The rule used here is x^(-y) = 1/(x^y) to make the exponent positive.
3^2 turns into 3*3 because the exponent 2 tells us how many copies of the base '3' to multiply out.
Answer:
The answer is A 5(5x-2y)
Step-by-step explanation:
5(5x-2y)= 25x-10y
5x5=25 2x5=10