<u>ANSWER:</u>
A 3-gallon jug of water costs $19.68.Price per pint of water is $0.82.
<u>SOLUTION:
</u>
Given, a 3 - gallon jug of water costs $19.68.
Total amount = $19.68
We need to find what is the price per pint
Now, price per pint =
We know that, a gallon contains 8 pints legally according to the united states.
Here, we have 3 gallons.
So total number of pints = 3 x pints per gallon
= 3 x 8 = 24
Now, price per pint =
Price per pint = $0.82
Hence, the price per pint of water is $0.82.
Answer:
f'(x) = 4 + 80x³
General Formulas and Concepts:
<u>Calculus</u>
The definition of a derivative is the slope of the tangent line.
We can take the derivative/distribute it over addition and subtraction.
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define function</u>
f(x) = 4x + 20x⁴
<u>Step 2: Find 1st derivative</u>
- Basic Power Rule (1st term): f'(x) = 4 · 1x¹⁻¹ + 20x⁴
- Basic Power Rule (2nd term): f'(x) = 4 · 1x¹⁻¹ + 20 · 4x⁴⁻¹
- Simplify: f'(x) = 4 + 80x³
Y = 68°
Corresponding angles between parallel lines are equal
x and y form a linear pair.
x + y = 180°
68 + x= 180
x= 112°
Answer:
Step-by-step explanation:
first you need to put the equation in y=mx+b form
y-3=(-1/2)(x+4)
y-3= (-1/2x)+4
y=-1/2x+1
then you just graph
the y intercept is 1 and the slope is -1/2 so it’s going to be a negative graph and it starts from 1 on the y axis