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:
1 1/4 miles
Step-by-step explanation:
3/4 + 2/4 (1/2 = 2/4) = 5/4 = 1 1/4
Answer:
See explanation below.
Step-by-step explanation:
Let's say,
represents the sale price of radio.
Then the marked price of the radio is 
The cost price of the radio is 
The discount is simply 25% because the radio is being sold at 25% less then the marked price.
The gain percent is given as:

The radio is being sold at 12.5% gain.
Best Regards!
I did im in algebra 1 now
Answer:
Step-by-step explation: 1500-500=900 900/3=300 so 300 is your answer