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>
Solutions
⇒15 Cookie to 40 brownies can be written as 15:40
⇒15:40 is the ratio we have to simplify
The GCF of 15 and 40 is 5 so we divide them by 5
15 ÷ 5 = 3
40 ÷ 5 = 8
3:8 is in simplest form
I set it up as an equation. 1/4x = 1/7x + 3. After you solve it out, it’s 28.
the axis of symmetry is x=2