So there are 2 things you need to convert, the first is the gallons to cups and the second is the hours to minutes. so I like to set it up with numerators and denominators and then multiply the ratios. All same terms will cross out and be opposite of each other.
(18 gal/1 hour) x (1 hour / 60 minutes), now we have (0.3 gallons/1 minute) we just have to change gallons to cups
(0.3 gallons/ 1 minute) x (4 quarts/1 gallon) x (2 pints/1 quart) x (2 cups/1 pint)
this comes out 4.8 cups/1 minute
Since its telling you that x is the number of years and the question is "How much does the cost of milk increase EVERY YEAR" then you can conclude that the cost is increasing by 0.25 each year
32 is your initial value, because that is what he starts with
Well, for number 15, this is what I came up with, I hope it is what your teacher is looking for:
So it starts out with 3 butterflies, and it doubles every minute:
3x2 = 6 That is for the first minute
6x2 = 12 That is for the second minute
12x2 = 24 That is for the third minute
24x2 = 48 That is for the fourth minute
So, It asks for using the power of 2 in your answer, that is what I came up with for part A.
For part B I would say something like this:
X represents the number of butterflies left.
The equation, using the information above would be this:
48-7 = X
Then simplify, which would leave you with 41 butterflies.
I hope this helps! :)
Answer:
f(- 2) = 8
Step-by-step explanation:
Evaluating for x = - 2
f(- 2) = 2
- 4(- 2)³ - 11(- 2)² + 3(- 2) - 6
= (2 × 16) + (- 4 × - 8) + (- 11 × 4) - 6 - 6
= 32 + 32 - 44 - 6 - 6 = 8
