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:
y < 3/8x-4
Step-by-step explanation:
Answer: Y = 10
Step-by-step explanation:
Because it is a horizontal line, the equation will just be Y = the Y value
The answer is 240
Explanation: The Least Common Multiple (LCM) is the smallest number that two or more numbers will divide into evenly. NOTE: to find LCM you first need to know how to find GCD.
First we will find LCM for first two numbers ( 16 and24 ).
Step 1: Find the GCD (Greatest Common Divisor ) of 16 and 24 which is 8.
Step 2: Multiply the numbers 16 and 24 together ( 16 * 24 = 384 )
Step 3: Divide the 384 with 8. (384/8 = 48)
So, the LCM of 16 and 24 is 48.
Now we will find the LCM of above result (48) and third number ( 40 ) using the same procedure.
The result of this part is 240
