Consider a single spin of the spinner. Which events are mutually exclusive? Choose all that apply. a)landing on a shaded sector
and landing on a number greater than 3
b)landing on a shaded sector and landing on a 3
c)landing on a shaded sector and landing on an even number
d)landing on an unshaded sector and landing on a number less than 2
e)landing on an unshaded portion and landing on an odd number
b)landing on a shaded sector and landing on a 3
c)landing on a shaded sector and landing on an even number
d)landing on an unshaded sector and landing on a number less than 2
e)landing on an unshaded portion and landing on an odd number
1 answer:
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Answer:
If we compare this function with the vertex form we see that:
So then the vertex would be
And since the value for a is positive we know that the parabola open upward. We don't have a maximum defined since open upwards and the minimum point correspond to the vertex on this case (2,-2).
If we compare this function with the vertex form we see that:
And since the value for a is negative we know that the parabola open downward. We don't have a minimum defined since open downwards and the maximum point correspond to the vertex on this case (-4,2).
Step-by-step explanation:
We need to remember that the standard form for a parabola is given by the following equation:
And the vertex form is given by this formula:
And we want to find the vertex and if we have a maximum or minimum for each function. Let's begin with g(x)
If we compare this function with the vertex form we see that:
So then the vertex would be
And since the value for a is positive we know that the parabola open upward. We don't have a maximum defined since open upwards and the minimum point correspond to the vertex on this case (2,-2).
For the function f(x) we assume that we have the following equation:
If we compare this function with the vertex form we see that:
And since the value for a is negative we know that the parabola open downward. We don't have a minimum defined since open downwards and the maximum point correspond to the vertex on this case (-4,2).