Find the value of x.
1 answer:
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Answer:
<em>Maximum: (-1,9)</em>
Step-by-step explanation:
<u>Vertex form of the quadratic function</u>
If the graph of the quadratic function has a vertex at the point (h,k), then the function can be written as:
Where a is the leading coefficient.
We are given the following function:
To find the vertex, we need to complete squares. First, factor -2 on the first two terms:
The expression in parentheses must be completed to represent the square of a binomial. Adding 1 and subtracting 1:
Taking out the -1:
Factoring the trinomial and operating:
Comparing with the vertex form we have
Vertex (-1,9)
Leading coefficient: -2
Since the leading coefficient is negative, the function has a maximum value at its vertex, i.e.
Maximum: (-1,9)
Answer:
The sample size is
Step-by-step explanation:
From the question we are told that
The margin of error is
From the question we are told the confidence level is 97.5% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally we will assume the sample proportion to be
Generally the sample size is mathematically represented as
=>
=>