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
We know that
1) <span>Carol's starting pay for her summer job is $10.25 per hour
</span><span>Carol earn per hour=$10.25 per hour
</span><span>
2) </span><span>For the first rise, she receives a 50 cent-per-hour raise
10.25+0.50=10.75
</span>Carol earn per hour=$10.75 per hour
3) <span>For the second rise, she receives a 10% raise per hour
10.75*1.10=11.825
</span>Carol earn per hour=$11.825 per hour
4) <span>For the third rise, she receives another 50 cent-per-hour raise
11.825+0.50=12.325
</span>Carol earn per hour=$12.325 per hour
5) At the start of next summer. She will be given a 5% raise per hour based on her pay at the end of this summer. <span>
12.325*1.05=12.94125
</span>Carol will earn per hour=$12.94 per hour
the answer is
$12.94 per hour
Answer:
1.) D
2.) 12in
3.)6
Step-by-step explanation:
Answer: 2/3
Simplifying fractions: Reducing the fraction to its lowest term by finding the greatest common factor and dividing both the numerator and denominator by the GCF.
GCF: The greatest common factor is integer divisible by both numbers. This number will evenly divide into both the numerator and denominator in this case.
Simplest term: The smallest possible number that cannot be reduced further while remaining as an integer.
Factors of numerator (6): 1, 2, 3, 6
Factors of Denominator (9): 1, 3, 9
- both numbers have a common factor of 3 which is the greatest
Steps to Calculate:
1. Find the GCF
2. Divide numerator and denominator by GCF
6/3 = 2
9/3 = 3
Therefore, the lowest term would be 2/3
