F(x) = 5cos(1/2x) - 2
g(x) = 5cos(x) - 2
The period for a cosine function is 2pi/k
In the equation the k is located before the variable.
In g(x) we have 5cos (1x) -2
so the period is 2pi/1 or 2pi. This means the length of one full period of cosine will go from 0 to 2pi.
In f(x) we have 5 cos (1/2 x) - 2
so the period is 2pi/ (1/2) which is the same as 2pi * 2 or 4pi.
This means the period for the function is 4pi and the length of one full period of the cosine graph will go from 0 to 4pi.
The length of f(x) will be longer than that of g(x) .
Answer:
6 2/3 miles times 4
Step-by-step explanation:
Convert the fraction 2/3 to a decimal
2/3 = .67
6.67 miles times 4 = 26.68 miles
or 6x4= 24
2/3+2/3+2/3+2/3 =8/3 or 2 2/3
2 2/3 +24 =26 2/3 miles
Hope this helps, have a nice day/night! :D
X/6 + 7 = 20
subtract 7 from each side
x/6 + 7 - 7 = 20 - 7
x/6 = 13
multiply each side by 6 to get x alone
x/6 • 6 = 13•6
x = 78
