The limit is the y value that the graph approaches from both sides as x approaches the target limit
it they approach different values from the left and right sides, the limit does not exist
we want to find the limit as x approaches 5
we are given that f(x)=5-x for x<5 and f(5)=8 and f(x)=x+3 for x>5
evaluate them all for f(5)
f(x)=5-x
f(5)=5-5
f(5)=0
f(5)=8
f(x)=x+3
f(5)=5+3
f(5)=8
it approaches 0 and 8 from both sides
the limit doesn't exist
D
Answer:
∠D = 13°
Step-by-step explanation:
∠A and ∠D are vertical angles and thus are congruent, hence
x - 2 = - 3x + 58 ( add 3x to both sides )
4x - 2 = 58 ( add 2 to both sides )
4x = 60 ( divide both sides by 4 )
x = 15
∠D = x - 2 = 15 - 2 = 13°
Answer:
Total amount paid to staff = $250
Step-by-step explanation:
Given:
Weekly payment = $200
Commission = 5% on sales
Amount of jewelry = $1,000
Find:
Total amount paid to staff
Computation:
Total amount paid to staff = Weekly payment + Commission
Total amount paid to staff = $200 + $1,000(5%)
Total amount paid to staff = $200 + $50
Total amount paid to staff = $250
Answer: 65,780
Step-by-step explanation:
When we select r things from n things , we use combinations and the number of ways to select r things = 
Given : The total number of playing cards in a deck = 52
The number of different five-card hands possible from a deck = 2,598,960
In a deck , there are 26 black cards and 26 red cards.
The number of ways to select 5 cards from 26 cards = 
Hence, the number of different five-card hands possible from a deck of 52 playing cards such that all are black cards = 65,780
The answer is 12. Thanks (;
