Given function is

now we need to find the value of k such that function f(x) continuous everywhere.
We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.
So we just need to find both left and right hand limits then set equal to each other to find the value of k
To find the left hand limit (LHD) we plug x=-4 into 3x+k
so LHD= 3(-4)+k
To find the Right hand limit (RHD) we plug x=-4 into

so RHD= 
Now set both equal





k=-0.47
<u>Hence final answer is -0.47.</u>
A=pi(r)^2
45=pi(r)^2 divide by pi (3.14)
14.33=r^2 square root both sides
3.79=r round
r=4
<h3>
Answer:</h3>
4/5+5/6
Step-by-step explanation:
4/5+5/6=1 19/30
not
- 49/16+49/14
- 24/17+25/13
- 98/45+98/15
hope this helps u
Answer:I think it is C
Step-by-step explanation:I think it i C
<u>Answer:</u>
The area of one side of a disc is 314 square inches
<u>Explanation:</u>
Given the radius of the disc is 10 inches
The disc is in circular shape and the area of a circle is determined by
A =
, where
A is the area and r is the radius and π = 3.14
Substituting values in the formula,
A = 
A =
= 341 sq. inches
Therefore, the area of one side of a disc is 314 square inches