Answers and explanations:
87. The domain of added functions includes the restrictions of both. So the range of the added function in this question is [-4, 3]
88. When finding the domain of a divided function we do the same as adding, but with an extra rule: g can't equal zero. So for this question the domain is (-4, 3)
89. To graph f + g you add the y-values for each x-value. I added a picture to help explain this one!
We are given with the formula
p = 200k - 500
a) The constraint for this formula is obtained from the idea that the profit must be positive
200k - 500 > 0
k > 500/200
k > 2.5
b) To make 14000 profit
14000 = 200k - 500
k = 72.5 or 73 knives must be sold
Answer:
12/13
Step-by-step explanation:
There are 52 cards in the deck
4 are aces
That leaves 52-4 or 48 that are not aces
P(not an aces) = cards that are not aces / total
= 48/52
=12/13
Answer:
Step-by-step explanation:
Change mixed fraction to improper fraction. Then reduce to lowest term if possible.
6 1/4 x 3 3/5 = 25/4 * 18/5 = 25* 18 /4*5
= 5 * 18 / 4 {giving by 5th table}
= 5* 9 /2 { giving by 2nd tables}
= 45/2
Answer:
solution:-We know that for any two finite sets A and B, n(A∪B)=n(A)+n(B)−n(A∩B).
Here, it is given that n(A)=20,n(B)=30 and n(A∪B)=40, therefore,
n(A∪B)=n(A)+n(B)−n(A∩B)
⇒40=20+30−n(A∩B)
⇒40=50−n(A∩B)
⇒n(A∩B)=50−40
⇒n(A∩B)=10
Hence, n(A∩B)=10
Step-by-step explanation:
hope it helps you friend ☺️
