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
6/16 and 9/24 :) if this helps pls let me know!! To find equivalent fractions, multiply the numerator and denominator by the same number!
Answer:
Step-by-step explanation:
total points obtained=141+87+81+91=400
total possible points=150+100+100+100=450
1.
% points obtained=(400/450)×100≈88.89
Jade did not secured more than 88.89 % marks.
2. can't read properly
I hope this helps with your answer have a nice day
Answer:
347 is the initial spider population
Step-by-step explanation:
y = ab^x
is the formula for exponential growth and decay
a = the initial value
b is the growth or decay rate
b>1 it is the growth rate (b-1) is the percent
0<b<1 it is the decay rate (1-b) is the percent
y = 347(1.2)^x
347 is the initial spider population
(1.2-1) = .2 = 20 % growth rate