Answer:
A. -4
Step-by-step explanation:
Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.
For the left hand limit;
The function at the left hand occurs at x<-1
f-(x) = x+3
f-(-1) = -1+3
f-(-1) = 2
For the right hand limit, the function occurs at x>-1
f+(x) = 2x-c
f+(-1) = 2(-1)-c
f+(-1) = -2-c
For the function f(x) to be continuous on the entire real line at x = -1, then
f-(-1) = f+(-1)
On equating both sides:
2 = -2-c
Add 2 to both sides
2+2 = -2-c+2
4 =-c
Multiply both sides by minus.
-(-c) = -4
c = -4
Hence the value of c so that f(x) is continuous on the entire real line is -4
Answer:
Step-by-step explanation:
Let x be the number of hours worked by Joshua.
Shirts ironed by Joshua in an hour = 25
Number of shirts ironed by Joshua in x hours = 25x
The number of hours worked by Luke = (x + 3)hours
Shirts ironed by Luke in an hour = 35
No. of shirts ironed by Luke in x hours = 35*(x + 3) = 35x+35*3 = 35x + 105
No. of shirts ironed by Luke and Joshua = 345
25x + 35x +105 = 345
60x = 345 - 105
60x = 240
x = 240/60
x = 4 hours
The number of hours worked by Joshua = 4 hours
The number of hours worked by Luke = 4 +3 = 7 hours
I believe the answer is
-5
Answer:
"101" seems to the appropriate response. The further explanation is provided below.
Step-by-step explanation:
The given expression is:
⇒ 
On solving the brackets, we get
⇒ 
On applying addition, we get
⇒ 
On applying subtraction, we get
⇒ 
