-2x^3-x^2-6x-7
I don't really know what else
I believe you would just divide 134 by 8
134/8 = 16.75
That means you would earn $16.75 per hour.
Answer:
13.2 minutes or 13 minutes 12 seconds.
Step-by-step explanation:
1. Count how much water drains the first pump every minute. Let the volume of pool be D. Every minute first pump drains D/11 water.
2. Working together(6 minutes) First pump drains 6D/11 water, hence the second pump drains 5D/11 water.
3.Count how much water drains second pump per minute -> (5D/11)/6= 5D/66
4. It takes the second pump 66 minutes to drain pool 5 times, thus it takes 13.2(66/5) minutes to drain the pool, which is 13 minutes 12 seconds.
Answer:
The greatest number of platters he can prepare is 3.
Step-by-step explanation:
Given : In preparation for a party, brant is putting desserts onto platters. the chocolate cake is cut into 15 pieces and the cheesecake is cut into 6 pieces. if he wants to prepare identical platters without having any cake left over.
To find : What is the greatest number of platters he can prepare?
Solution :
The greatest number of platters he can prepare is given by finding the GCF of 15 and 6.
Factoring the numbers,


The GCF is the greatest common factor.

Therefore, the greatest number of platters he can prepare is 3.
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.