Answer:
Step-by-step explanation:
Answer:
a = 4, p = 2, q = - 1
Step-by-step explanation:
Expand the right side of the identity, then compare the coefficients of like terms with those on the left side.
a(x - p)² + q ← expand (x - p)² using FOIL
= a(x² - 2px + p²) + q ← distribute parenthesis
= ax² - 2apx + ap² + q
Compare coefficients of x² term
a = 4
Compare coefficients of x- term
- 2ap = - 16, that is
- 2(4)p = - 16
- 8p = - 16 ( divide both sides by - 8 )
p = 2
Compare constant terms
ap² + q = 15 , that is
4(2)² + q = 15
16 + q = 15 ( subtract 16 from both sides )
q = - 1
Thus a = 4, p = 2, q = - 1
Answer:
(goh) (0) = 4
Step-by-step explanation:
Given that,
g(x) = 2x
h(x) = x² + 4
We need to find the value of (goh) (0).
Firstly we find (goh),
(goh) = g(h(x))
=g(x²+4)
(goh) (0) = 0²+4
=4
Hence, the required answer is 4.
Answer:
A prospective study
Step-by-step explanation:
A prospective study watches for outcomes, such as the development of a disease (in this case cancer). It also usually involves taking a group of subjects and watching them over a long period of time. The outcome of interest should be common between them (whether certain smoking habits lead to the development of cancer in British doctors).
