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
It takes 6 seconds for it to hit the ground.
0 = -5x²+20x+60
We can solve this by factoring. First factor out the GCF, -5:
0 = -5(x²-4x-12)
Now we want factors of -12 that sum to -4. -6(2) = -12 an -6+2 = -4:
0 = -5(x-6)(x+2)
Using the zero product property, we know that either x-6=0 or x+2=0; this gives us the answers x=6 or x=-2. Since we cannot have negative time, x=6.
Answer:
A) $257.83
Step-by-step explanation:
A spreadsheet or financial calculator will tell you the monthly payment on $11,000 at 5.9% annual rate for 4 years is ...
$257.83
Answer:
-The arrows should be a length of 6
-The arrows should point in the negative direction
-The arrows should start at zero
Step-by-step explanation:
Hope this helps!
There is a 50% probability.
First add up all of the sections to get a total.
10 Green + 15 Purple + 2 Blue + 3 Red = 30.
There are 15 purple out of 30.
15/30 = 1/2 probability, which is 50%.
