Since n + 19 = 30, n = 30 − 19 = 11.43 . D
Insert the whole expression into the function g(x) = (2x + 3)^2 :
44 . B
Use the identity rule cos 2 x = 1 − 2sin^2 x. First factor the 3 out of the expression 3 − 6 sin^2 x.
You should get y = 3(1 − 2 sin^2 x). The identity rule allows you to substitute cos 2 x for 1 − 2
sin^2 x, so y = 3(1 − 2 sin^2 x) = 3(cos 2x).The amplitude of y = 3 cos 2x is 3.45 . D
To find the probability of this outcome, begin by counting the number of ways it can occur.
The spinner can land on an odd number on the first, second, or third spin. So there are three
ways the outcome can occur.
On any given spin, the probability of getting an odd number (1, 3, 5) is . The probability of
getting an even number is . The probability of the spinner landing on
an odd number on the first spin only isThe probability of getting an odd number on just the second spin or just the third spin is the
same. So the probability of getting one of these three outcomes is