The union of two sets is defined as all elements that are members of both sets.
The first set evaluuates to (...,...,...-2,-1,0,1) and the second eveluates to (2,3,4,5,...,...).
There are no elements that belong to both sets so the solution is the empty set. {∅}
Another way is to think about it in words: "What number(s) are less that 2 and also equal to to greater than 2?" Clearly there is no number that fits both of those.
Hey there :)
( 5y + 9 )( 6y - 1 )
We need to use FOIL to expand, that is
First Terms
Outer Terms
Inner Terms
Last Terms
First Outer Inner Last
( 5y )( 6y ) + ( 5y )( - 1 ) + 9 ( 6y ) + 9 ( - 1 )
30y² - 5y + 54y - 9
Combine, if any, the like-terms
30y² + 49y - 9
Answer:
<em>a) Since the income is more than the cost, she makes a profit.</em>
<em>b) To make profits, she must sell at least 17 necklaces</em>
Step-by-step explanation:
<u>Inequalities</u>
The costs of selling jewelry at a fair are $135 to rent a booth and $4 for each necklace. The cost function is:
C(n) = 135 + 4n
Where n is the number of necklaces she sells at the fair. She sells each necklace at $12 each, thus the income function is:
R(n) = 12n
a) If she sells n=17 necklaces, it will cost:
C(17) = 135 + 4*17 = 203
And the income is:
R(17) = 12*17= 204
Since the income is more than the cost, she makes a profit.
b) To make a profit R(n) > C(n), thus:
12n > 135 + 4n
Subtracting 4n:
8n > 135
n > 135/8
n > 16.875
Thus, to make profits, she must sell at least 17 necklaces
The power Needed to drive the boat at 19 knots is 24
IV : 17 > 2 or 6 < 9......these are true....17 is greater then 2 and 6 is less then 9
