Will give 20 points and ! what is the frequency of the function f(x)? f(x) = 3cos(πx) - 2write your answer in fraction form.

1/2

The given equation is in the form

y = a*cos(b*(x-c)) + d

with a = 3 so |a| = |3| = 3 is the amplitude, b = pi helps determine the period, c = 0 deals with the horizontal phase shift, and d = -2 helps with the vertical shifting

Use b = pi to figure out the period T

T = 2pi/b

T = 2pi/pi replace b with pi

T = 2

The period is 2, which means the frequency f is...

f = 1/T

f = 1/2

The frequency is 1/2

what is the question?

step-by-step explanation:

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺