Answer:
A is the best answer.
Step-by-step explanation:
A is. It can be written as y [ or v] = -2(x + 3)^2 + 7 which is the pure form of a vertex equation.
C doesn't work since that is a linear function. Nothing is squared.
D doesn't work. That is just the way an ordinary quadratic is written. (Standard form).
B doesn't work. The quadratic is written in factored form.
ANSWER
EXPLANATION
The vertex form of a quadratic function is given by:
From the given options, the first choice is
where a=-2, h=-3, and k=7.
Therefore the vertex is (-3,7)
Hence the first choice is the correct option.
Complete question :
It is estimated 28% of all adults in United States invest in stocks and that 85% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 26% of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?
Answer:
0.929 ; 0.306
Step-by-step explanation:
Using the information:
P(stock) = P(s) = 28% = 0.28
P(fixed income) = P(f) = 0.85
P(stock and fixed income) = p(SnF) = 26%
a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places.
P(F|S) = p(FnS) / p(s)
= 0.26 / 0.28
= 0.9285
= 0.929
(b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?
P(s|f) = p(SnF) / p(f)
P(S|F) = 0.26 / 0.85 = 0.3058823
P(S¦F) = 0.306 (to 3 decimal places)
-21, - 13, -5, 3, ...
Find a23
a(n)=a(1)+(n-1)×d
a(23)=-21+(23-1)×8
a(23)=-21+(22)×8
a(23)=-21+176
a(23)=155
And we're done....
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