Answer:
6.
Step-by-step explanation:
6×5 = 30 (product=multiplication)
30+12=42 (increased=addition)
So, the answer is 6.
Adding or subtracting a constant from each value of a distribution changes the mean, but not the standard deviation.
The standard deviation will equal 3.
First, we need to solve the differential equation.
This a separable ODE. We can rewrite it like this:
Now we integrate both sides.
We get:
When we solve for y we get our solution:
To find out if we have any horizontal asymptotes we must find the limits as x goes to infinity and minus infinity.
It is easy to see that when x goes to minus infinity our function goes to zero.
When x goes to plus infinity we have the following:
When you are calculating limits like this you always look at the fastest growing function in denominator and numerator and then act like they are constants.
So our asymptote is at y=8.
The top right corner is the table that represents a linear function because when x goes up by 1 y continuously goes down by 2 and stays consistent
Answer:
Two positive zeros, no negative zeros, two complex roots.
Step-by-step explanation:
The given function is
According to the fundamental theorem of algebra, the function will have 4 roots.
The graph of the function intersects the positive axis at two points.
Hence the function has two positive zeros and no negative zeros.
The two remaining roots are imaginary. The function has two complex zeros.
See graph in attachment