Can some one help me with this?
2 answers:
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I'm assuming the function is f(x) = (2x+8)/(x^2+5x+6). If so, make sure to use parenthesis to indicate that you're dividing all of "2x+8" over all of "x^2+5x+6" as one big fraction. Otherwise, things are ambiguous and it leads to confusion.
Side Note: x^2 means "x squared"
Factor the numerator: 2x+8 = 2(x+4)
Factor the denominator: x^2+5x+6 = (x+2)(x+3)
There are no common factors between the numerator and denominator. So there is nothing to cancel out.
Recall that you cannot divide by zero. Something like 1/0 is undefined.
We need to find the x values that cause the denominator to be zero.
Set the denominator equal to zero and solve for x
x^2+5x+6 = 0
(x+2)(x+3) = 0
x+2 = 0 or x+3 = 0
x = -2 or x = -3
The x values x = -2 or x = -3 will lead to the denominator being zero. This means that the vertical asymptotes are x = -2 or x = -3 as shown by the blue dashed vertical lines in the attached image.
Side Note: x^2 means "x squared"
Factor the numerator: 2x+8 = 2(x+4)
Factor the denominator: x^2+5x+6 = (x+2)(x+3)
There are no common factors between the numerator and denominator. So there is nothing to cancel out.
Recall that you cannot divide by zero. Something like 1/0 is undefined.
We need to find the x values that cause the denominator to be zero.
Set the denominator equal to zero and solve for x
x^2+5x+6 = 0
(x+2)(x+3) = 0
x+2 = 0 or x+3 = 0
x = -2 or x = -3
The x values x = -2 or x = -3 will lead to the denominator being zero. This means that the vertical asymptotes are x = -2 or x = -3 as shown by the blue dashed vertical lines in the attached image.
<h3>Answer: 11/12</h3>
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Explanation:
3/4 = 9/12 after multiplying top and bottom by 3
1/3 = 4/12 after multiplying top and bottom by 4
When combining the fractions 3/4 and 1/3, we get,
3/4 + 1/3 = 9/12 + 4/12 = (9+4)/12 = 13/12
Let's convert that result into a mixed number
13/12 = (12+1)/12
13/12 = 12/12 + 1/12
13/12 = 1 + 1/12
13/12 = 1 & 1/12
Adam and Brian have collectively eaten 1 full pizza plus an additional 1/12 of the second pizza. This leaves 11/12 of the second pizza for Christine to eat. Notice how the fractions part 1/12 and 11/12 add to 12/12 = 1.
Check out the diagram below.
Answer:
Step-by-step explanation:
The confidence interval of population proportion is given by :-
Given : Sample size :
The proportion of individuals lease a car :
Significance level :
Critical value :
Then, the confidence interval of population proportion is given by :-
Hence, the confidence interval for the population proportion with a 90% confidence level=