How many times does the quadratic function below intersect the x-axis? y=x+10x+25
1 answer:
Answer:
It touches the x-axis once, but does not intersect it
Step-by-step explanation:
I'm assuming it's supposed to be y = x² + 10x + 25. This equation does not intersect the x-axis, but it does touch the x-axis.
Solve the equation for x...
0 = x² + 10x + 25
factor...
0 = (x + 5)(x + 5)
The solution repeats, this means that the function touches the x-axis and then bounces off, but doesn't intersect it. Intersect meant to cross the line, here it just touches it.
See the attached photo to see the graph...
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Answer:
The total number of samples that give this outcome is 5.
Step-by-step explanation:
Since Y takes values in {0,1,2,3}, For us to have that implies that all of them are zero but one. The one that is non-zero necessarily is equal to 1. To calculate the number of samples that give this outcome is equivalent to counting the total number of ways in which we can pick the i-index such that
. Note that in this case we can either choose Y1 to be 1, Y2 to be 1 and so on. So, the total number of samples that give this outcome is 5.