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>
Answer:
x=4y-10
Step-by-step explanation:
Answer:
2 three points shots and 4 two points shots
Step-by-step explanation:
Let x be the number of three points shots.
Alexander made twice as many two points shots as three points shots, so the number of two points shots is 2x.
Amount earned in three points shots
Amount earned in two points shots
Total score 
Alexander scores a total of 14 points, then

When 36 is decreased by 75%, the result is 9.
75% of 36 is 27.
36 - 27 = 9