Answer:
- 6
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ - 1, 4 ] , then
f(b) = f(4) = 4³ - 6(4)² - 4 = 64 - 96 - 4 = - 36
f(a) = f(- 1) = (- 1)³ - 6(- 1)² - (- 1) = - 1 - 6 + 1 = - 6 , then
average rate of change = 
= 
= 
= - 6
<span>A = {odd numbers between 0 and 100}
</span><span>A = {1, 3, 5, 7,...., 95, 97, 99}
B = </span><span>{numbers between 50 and 150 that are evenly divisible by 5}
B = {50, 55, 60, 65, ..., 140, 145, 150}
The notation </span><span>A ∩ B means the set of items that are in set A and also in set B. In terms of venn diagrams, it's the overlapping region between circle A and circle B
In this case, the following values are found in both set A and set B
{55, 65, 75, 85, 95}
So that's why
</span>A ∩ B = <span>{55, 65, 75, 85, 95}
which is the final answer</span>
Answer:
Step-by-step explanation:
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First, find how much he paid by tire.
To do so, divide what he paid by how many tires he bought like this :
240$ / 12 = 20$ per tire
Then, calculate how much he sells each tire.
To do so, start by calculating how much he paid for 3 tires:
20$ x 3 = 60$
This is the price he sells 2 tires for, therefore :
60$ / 2 = 30$
he sells his tires 30$ each.
Finally, you have to calculate the profit he made by selling 12.
We already know how much it cost, so you need to find how much money he gets selling them :
12 tires x 30$ = 360$
To find the profit, take off the amount he paid from the amount he made :
360$ - 240$ = 120$
There you go!
Answer:
C
Step-by-step explanation:
The arrow is pointing right is it is greater than which means that A and B are out. And for
D, -4 is not greater than -3 so D is also out which leaves only C
and -2 is greater than -3
