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.
Answer:
30
Step-by-step explanation:
2 + 3 = 6
6 x 10 = 30
30 snowmen
Answer:
- <u>First blank: the equation of the line that passes through A and B</u>
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- <u>Second blank: is a solution of the equation</u>
Explanation:
Three or more points are collinear if and only if they are on the same line, and, thus they are solutions, of the same equation of the line.
When you know two points through their coordinates you can always find the equation of the line:
You can find the slope, m, of that line by using the slope formula:
- m = rise / run = Δy / Δx = (y₂ - y₁) / (x₂ - x₁)
And then, you apply the point-slope equation:
Since you know m, x₁, and y₁, your equation is determined.
Once you have your equation, substitute the x and y coordinates with the coordinates of the point C. If, and only if, the equation is satisfied, the point C is on the same line and the three points are collinear.
Answer:
5 customers
Step-by-step explanation:
If she takes 1 hour to trim and 1 hour to style, she will take 2 hours per customer.
She plans to work 3 hours a day. So, she can only fit 1 customer in per day because if she scheduled 2 she would need at least 4 hours.
If she can only have 1 customer per day over a 5 day week she will only be able to schedule 5 customers per week.