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2 answers:
Answer:
x=2
Step-by-step explanation:
To find the axis of symmetry for a quadratic, you use the formula:
Looking at the chart, we can see that (the vertical shift) and
(the slope. Plugging these values into the formula, we get:
Therefore, is the axis of symmetry.
The much simpler way of determining this, however, is simply looking at the graph and finding where the vertex is. It is given here that the vertex point is (2, -1) and the graph is mirrored horizontally so you can simply take the x-coordinate and that will be the axis of symmetry. If the parabola was mirrored vertically, the axis of symmetry would then be the y-coordinate of the vertex.
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Answer:
A) Quantity x minus 5 over quantity x plus 1, where x≠-1 and x≠-9
Step-by-step explanation:
Simplifying the numerator first:
x² + 4x - 45 using the quadratic formula you get;
(x - 5)(x + 9)
Then simplifying the denominator x² + 10x + 9 using a quadratic formula you get;
(x + 1)(x + 9)
Dividing the numerator and denominator now gives;
Cancelling (x + 9) throughout leaves you with;
The only restrictions here is if x = 1 and 9 which will give an undefined answer.
The event that either M1 or M2 fails has probability
by the addition rule. Failure events are independent, so
so that
Denote this probability by . Then
follows a geometric distribution with this parameter
and has density
The expectation is .