To find the average rate of change of given function f(x) on a given interval (a,b):
Find f(b)-f(a), b-a, and then divide your result for f(b)-f(a) by your result for b-a:
f(b) - f(a)
------------
b-a
Here your function is f(x) = x^2 - 2x + 3. Substituting b=5 and a=-2,
f(5) = 5^2 -2(5)+3 =? and f(-2) = (-2)^2 - 2(-2) + 3 = ?
Calculate f(5) - [ f(-2) ]
------------------ using your results, above.
5 - [-2]
Your answer to this, if done correctly, is the "average rate of change of the function f(x) = x^2+2x+3 on the interval [-2,5]."
Answer:
A cup of juice will cost 1.04 US dollars
Step-by-step explanation:
Here, we want to know the cost of one cup of juice in US dollars.
The cost of a quart of juice is Canada is 4.40CAN
now, since there are 4 cups in a quart, the cost of a cup of juice will be 4.40/4 = 1.10 CAN
Moving on;
We are told that 1 USD = 1.06 CAN ;
thus x usd = 1.10 CAN
1 * 1.10 = x * 1.06
x = 1.10/1.06
x = 1.037 which is approximately 1.04 USD
(1,4)
(4,1)
(2,3)
(3,2)
so there are 4 different combinations that equal 5
6 x 6 = 36 total possible outcomes of the dice
so they have a 4/36 reduces to 1/9 probability of equaling 5
Answer:
110 beats per minute.
Step-by-step explanation:
Since we know it beats 6600 beats per hour and there are 60 minutes in an hour then we have to divide 6600 by 60 which is 110.
Answer:
To find part A you need to find common denominator.
1/3 + 3/5=
5/15 + 9/15= 14/15
His mistake for a is that he didn't find the common denominator and that he just added the fraction as it is. So the corrected version would be 14/15.
To find part B you also need to find the least common denominator.
11/12-5/6=
11/12-10/12=1/12
His mistake was that he didn't find the least common denominator and he subtracted the fraction as it is. The answer corrected would be 1/12.
Step-by-step explanation:
