Answer:
See Below.
Step-by-step explanation:
We have the equation:
And we want to show that:
Instead of differentiating directly, we can first square both sides:
We can find the first derivative through implicit differentiation:
Hence:
And we can find the second derivative by using the quotient rule:
Substitute:
Simplify:
Combine fractions:
Simplify:
Simplify:
Q.E.D.
On the 40th and the 80th you will receive both a free beverage and a free appetizer. You can find this by simply finding the multiples of both number up to 100 (or a little more than 100) to find out on which dates you'd get bothe an appetizer and beverage for free. Here are the multiples of both, to prove this answer.
- 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104.
- 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.
Thus making 40 and 80 the answers. I hope this helps!
Hello! Let's work this problem from left to right to make things a bit easier ;)
6.5+(-2) is the same as 6.5-2, since adding a negative is the same as subtracting a positive. 6.5-2=4.5
Now, we have to add 10.5 to 4.5, which gives us the grand total of 15. I hope this helped! Let me know if you need anything else!
So lets write this equation out. Let x be that number we are trying to find.
So five-sevenths is a fraction that is written like this
5/7
when you see the word "of" that means multiplication
so we can write the full equation.
(5/7)x = -35
now we can solve
Multiply both sides by 7
5x = -245
now divide by 5
and we get
x = -49
