Let us consider the function given. It is
. The coefficient of x (here 1/2) gives the frequency of the curve. What this means is that we see 1/2 a cycle between x=0 and x=
. Put another way, to see a full cycle we would need
. The period of the function given is
.
Let us think about a cycle of cosine. It starts (x=0) and ends (
) its cycle at its highest value (here f(x)=1). It is at it's lowest (here f(x)=-1) in the middle (
) it is between the highest and the lowest that it crosses the x-axis.
That is, it has an x-intercept between 0 and
That is, at
The next one comes between
and
. That is, at
The attached shows the function and it's x-intercepts. You can see that they occur at:
. This is the arithmetic sequence that contains the x-intercepts of the function.
As you can see the nth zero will occur at
Answer: 4
Step-by-step explanation:
Slope is rise over run (up over sideways) from two points.
The two points shown are (0,4) and (-2,-4).
By counting, you can find the slope, which is 8/2 = 4.
Answer:
3/4
90 customers
Step-by-step explanation:
Experimental probability = sold/ total = 15/20 = 3/4
Multiply this probability times the number of customers
3/4 * 120 = 90
Ruby and Angie ate 8/15 of the pizza
Answer:
faluse
Step-by-step explanation: