G = x
Felicia is Gabriella's age + 6
F = x + 6
Their mother is twice Felicia's age
M = 2(x + 6) or 2x + 12
Tanya is the age of their mother plus Gabriella's age
A = 2x + 12 + x = 3x + 12
3x + 12
Answer:
a) The function is constantly increasing and is never decreasing
b) There is no local maximum or local minimum.
Step-by-step explanation:
To find the intervals of increasing and decreasing, we can start by finding the answers to part b, which is to find the local maximums and minimums. We do this by taking the derivatives of the equation.
f(x) = ln(x^4 + 27)
f'(x) = 1/(x^2 + 27)
Now we take the derivative and solve for zero to find the local max and mins.
f'(x) = 1/(x^2 + 27)
0 = 1/(x^2 + 27)
Since this function can never be equal to one, we know that there are no local maximums or minimums. This also lets us know that this function will constantly be increasing.
If a pencil factory makes 50 cases of pencils in 5 hours. Let's first find out how many cases are made per hour.
50 ÷ 5 = 10 cases per hour
Now you need to know how long it will take to make 55 cases. Since we already know that it takes 5 hours to make 50 cases. So you need to know how many cases for the extra 5 cases. If it takes 1 hour to make 10 cases, it would only take 1/2 hour to make 5 cases.
So it would take 5 1/2 hours to make 55 cases.
Hope this helps. :)
Answer:
26.25 square feet
Step-by-step explanation:
Calculation to determine the area of the seat
Using this formula
Area=1/2*(b1+b2)*h
Where,
b1=8 feet
b2=7 feet
h=3.5 feet
Let plug in the formula
Area=1/2*(8+7)*3.5
Area=1/2*15*3.5
Area=26.25
Therefore the area of the seat is 26.25 square feet
Answer:
3x=4
Step-by-step explanation:
