Answer:
The answer is 10
Step-by-step explanation:
8+4=12
12-2=10
Answer:
100, 102, 104
Step-by-step explanation:
Hi there!
Let <em>x</em> be equal to the first number in the set of the three consecutive even numbers.
We're given that the sum of three consecutive even numbers is 306.
Because <em>x</em> is the first number, the next would be <em>x</em>+2, and then <em>x</em>+4. These are our even numbers.
We can now set up an equation:

Combine like terms:

Therefore, the first number in the set of 3 numbers is 100.
The next two even numbers after 100 is 102 and 104.
Therefore, the three numbers are 100, 102 and 104.
I hope this helps!
Answer:
- f'(1) exists: f'(1) = -2
- f'(0) DNE
Step-by-step explanation:
<h3>a)</h3>
The function is continuous for x > 0 . The derivative is defined on that interval and is equal to ...
f'(x) = -2x . . . . . for x > 0
Then at x = 1, the derivative is ...
f'(1) = -2(1)
f'(1) = -2
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<h3>b)</h3>
The function has a jump discontinuity at x=0, so the derivative does not exist at that point. A condition for the existence of the derivative is that the function is continuous at the point of interest.