1) Answer: 
<u>Step-by-step explanation:</u>
f(x) = 6x⁻¹
f'(x) = -6x⁻²
= 
f'(-2) = 
= 
=
*****************************************************
2) Answer: 
<u>Step-by-step explanation:</u>
f(x) = -9x⁻¹
f'(x) = 9x⁻²
= 
f'(6) = 
= 
=
0.03 compare to 0.003
While comparing decimals we write the decimals one below the other according to the place value of each digits in place value chart
ones -- point -- Tenths -- Hundredths -- Thousandths
0 . 0 3
0 . 0 0 3
Now we compare each digit left to right. We have 3 in hundredths and 0 in hundredths place. 3 is greater
So 0.03 is greater than 0.003
0.03 > 0.003
Answer:
Option A
Step-by-step explanation:
This is increasing function
The first option is correct
<em>See attached graph for reference</em>
step.1 turn both of the numbers into fraction
24x8=192, because 8 out of 8 is 1. Plus one equals to 193/8
1x2=2 plus 1 equals to 3. 3/2
step.2 turn the bottom numver the same
because 2x4 is 8 from the bottom
3x4 is 12 so the lemonade she sampled is 12/8
step.3 substract
193/8-12/8you keep the bottom the same substract the top.
193-12
the answer is : 181/8
Let the number be x, twice the number wil be 2*x=2x, minus 4, 2x-4=16, collect like terms, 2x=16+4, 2x=20, divide both sides by 2 x=10
