Answer:
The highest common factor is 7(3x+1)
Step-by-step explanation:
Here, we want to find the highest common factor of both expressions
As we can see, the highest common factor of 7 and 14 is 7
Now, we have the second expression which is (3x+1)
No matter what the first expression is raised to, it still stands that the highest common factor we shall have there is 3x+ 1 as concerns the term
inside the bracket
Thus, the highest common factor of both terms is 7(3x + 2)
Answer:
The required amount of minutes is 5796.05 minutes
Step-by-step explanation:
Here, since we have that the sick leave is given as 1 minute per hour worked per month and
The amount of unused sick leave is uniformly distributed between 0 and 480
Therefore, there are 481 employees, counting from 0 to 480 with 0 included
Where the company wishes no more than 5% of all employees get cash payment then we have
Total number of minutes = 1 to 481 = 115921 minutes
Therefore, we have 5% of 115921 = 5796.05 minutes
The balance amount of minutes = 115921 minutes - 5796.05 minutes
= 110124.95 minutes.
now, we get critical points from zeroing out the derivative, and also from zeroing out the denominator, but those at the denominator are critical points where the function is not differentiable, namely a sharp spike or cusp or an asymptote.
so, from zeroing out the derivative we get no critical points there, from the denominator we get x = 8, but can't use it because f(x) is undefined.
therefore, we settle for the endpoints, 4 and 6,
f(4) =3 and f(6) = 7
doing a first-derivative test, we see the slope just goes up at both points and in between, but the highest is f(6), so the absolute maximum is there, while we can take say f(4) as the only minimum and therefore the absolute minumum as well.
If the area of the Jackson neighborhood garden is 672 yards, and the width of the garden is 21, that means that length of the garden is 32. (672 divided by 21 is 32) Then, since the Nguyen neighborhood garden is 15 yards longer than the length, that means you add 15 to 32, so that your answer is 47.
So first off, is D, and to get there we did the most important part with division and addition, which is A.
Final: D and A.
