The radius of a circle is 6 cm. What is its diameter?
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:
0.61
Step-by-step explanation:
The computation of the probability of the working of the system is shown below:
But before that first we have to find out the total probability of sub-system i.e 2,3 and 4 i.e
= 0.48
Now the working of the system probability is
= 1 - [(1 - probability of component 1) × (1 - sub system probability)]
= 1 - [(1 - 0.75) × (1 - 0.48)]
= 1 - 0.39
= 0.61
Please find the attachment for better understanding.
