The following proportion could be used to change from gallons to which measure.
1 answer:
Answer:
Choice C. quarts
Step-by-step explanation:
In one gallon there is 8 pints, 16 cups, and 4 quarts. So if the proportion was set up like this it's likely that they are looking for how many quarts are in 3 gallons, and since we now know that 4 quarts is one gallon we can multiply 3 and 4 to get 12. So in 3 gallons there's 12 quarts.
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Answer:
Step-by-step explanation:
-(4x+6)<2(5x+9)+2x
Distribute:
-4x-6<10x+18+2x
Combine like terms on either side:
-4x-6<12x+18
We want to now gather variable terms on one side of the inequality and constants (terms without variables) on the opposing side.
Add 4x on both sides:
-6<16x+18
Subtract 18 on both sides:
-24<16x
Divide both sides by 16:
-24/16<x
This implies:
x>-24/16
Reduce:
x>-3/2
x>-1.5
So in an interval notation this is .
If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate .
We have
Expand the numerator using the binomial theorem, then simplify and compute the limit.
In general, the derivative of a power function is
. (This is the aptly-named "power rule" for differentiation.)