Hi there!
The derivative of the function is the slope of the function at a specific x-value, or its instantaneous rate of change.
For example, take the equation y = x².
Using the power rule, we get:
y' = 2x
If we plug in any x-value into this equation, we can find the slope of the function at any point.
Ex:
x = 0; 2(0) = slope of 0
x = 2; 2(2) = slope of 4
Answer:
9
Step-by-step explanation:
Area of a triangle=(base*height)/2
1) Input the values
54=(12h)/2
2) Multiply both sides by 2
54*2=(12h/2)2
108=12h
3) Divide both sides by 12
108/12=12h/12
9=h
I hope this helps! Please comment if you have any questions.
Answer:
7,173
x = 7
Step-by-step explanation:
Within the question it gives two examples.
x = 0 corresponds to 2000
x = 1 corresponds to 2001
If you pay close attention the x-value is always the same as the last digits in the year. So with 2007 the last digit is 7, which then leads us to determine that
x = 7
f (x) = -327 (7) + 9462
f (x) = -2289 + 9462 = 7173
Answer:
1/4
Step-by-step explanation:
The fraction of the juice Alisa drank was
3/8 liter
--------------------
3/2 liters
and this fraction can be simplified by inverting the divisor (3/2 liters) and multiplying instead:
3 2
------ * ----- = 2/8 or 1/4
8 3
Alisa drank 1/4 of the juice that was originally in the bottle.
