LHL in not equal to RHL , Therefore the limit does not exists , Option D is the answer.(none)
<h3>What is the limit of a function ?</h3>
The limit of a function at a certain point is the value that the function approaches as the argument of the function approaches the same point.
It is given that
lim x->2 for f(x)
f(x) = 2x+1 x ≤2
f(x)= x² , x >2
When both the function tends to 2
Left Hand Limit
f(x) = 2 *2 +1
f(x) = 5
Right Hand Limit
f(x) = x² ,
f(x) = 4
LHL in not equal to RHL , Therefore the limit does not exists.
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Combine like terms, you would get -1+9 which your answer would be 8
All the answers attracted in the photo with working
Answer:
2√137
Step-by-step explanation:
To find AB, we can use the Pythagorean Theorem (a² + b² = c²). In this case, a = 22, b = 8 and we're solving for c, therefore:
22² + 8² = c²
484 + 64 = c²
548 = c²
c = ± √548 = ± 2√137
c = -2√137 is an extraneous solution because the length of a side of a triangle cannot be negative, therefore, the answer is 2√137.
Answer:
Hourly rate: $17.
Hourly overtime rate: $25.5.
Step-by-step explanation:
Let x represent Jim's hourly pay.
We have been given that Jim worked 40 hours last week. So amount paid in 40 hours would be 
.
We are also told that his over time pay is time-and-a-half rate that is 
.
The amount earned for working 8 overtime hours would be 
.
Since Jim's gross pay was $884, so we will equate amount earned in 40 hours and 8 hours of overtime with 884 as:
Therefore, Jim's hourly rate is $17.
Overtime rate would be 
Therefore, Jim's hourly overtime rate is $25.5.
