By first principles, the derivative is
Use the binomial theorem to expand the numerator:
where
The first term is eliminated, and the limit is
A power of 
in every term of the numerator cancels with in the denominator:
Finally, each term containing approaches 0 as 
, and the derivative is
F(x) = -4sin(2x + π) - 5
<u>Amplitude</u>
A = -π
<u>Period</u>
<u>2π</u> = <u>2π</u> = π
B 2
<u>Phase Shift</u>
<u>-C</u> = <u>-π</u> = ≈ 1.57<u>
</u> B 2<u>
</u>
Answer:
When you multiply an odd number of negatives you get a negative result. When you multiply an even number of negatives you get a positive result.
First, multiply normally.
25x10x5
1100
Then determine whether the sign is positive or negative. Since there is an odd number of negatives, the sign is negative.
So, the answer is -1100.
:)
Answer:
- 27 hot dogs
- 13 bags of popcorn
Step-by-step explanation:
Had all received popcorn, the bill would have been 40×$1.75 = $70. The bill was $13.50 more than that. Each hot dog purchased in place of popcorn adds $0.50 to the bill, so the number of hot dogs must be ...
$13.50/$0.50 = 27
Of course, the remainder of the 40 items were popcorn, so 13 bags of popcorn.
27 hot dogs and 13 bags of popcorn were purchased.
Answer:
14%
Step-by-step explanation:
<em><u>49 parts of 350 parts</u></em> do not need specifications...
= 49/350
So, 49/350 = x/100
= <u>49(100) = 350x</u>
= 4900 = 350x
= 4900/350 = x
x = 14%
