Answer:
Surveying a sample would be valid if the population contains a diverse group of people.
The points are at (8,0) and (0,6)
Answer:
x=44, They are adjacent
Step-by-step explanation:
since this is right angle it is 90 degrees. You set the whole thing equal to 90, so 43+x+3=90, add 43 and 3=46. Then you subtract 90-46, you get x=44.
Answer:
1 hold
2 hold
3 does not hold
4 hold
5 hold
6 hold
7 does not hold
8 does not hold
9 Does not hold
10 Hold
Step-by-step explanation:
The detailed step by step verification is as shown in the attachment
It's clear that for x not equal to 4 this function is continuous. So the only question is what happens at 4.
<span>A function, f, is continuous at x = 4 if
</span><span>
</span><span>In notation we write respectively
</span>
Now the second of these is easy, because for x > 4, f(x) = cx + 20. Hence limit as x --> 4+ (i.e., from above, from the right) of f(x) is just <span>4c + 20.
</span>
On the other hand, for x < 4, f(x) = x^2 - c^2. Hence
Thus these two limits, the one from above and below are equal if and only if
4c + 20 = 16 - c²<span>
Or in other words, the limit as x --> 4 of f(x) exists if and only if
4c + 20 = 16 - c</span>²
That is to say, if c = -2, f(x) is continuous at x = 4.
Because f is continuous for all over values of x, it now follows that f is continuous for all real nubmers