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:
The late fee would be about $7
Step-by-step explanation:
Divide

Multiply by 5

$7
Answer: x=1/2
Step-by-step explanation:
y= - 4x + 2
X=1/2
Answer:
C. y = x^2 -10x +26
Step-by-step explanation:
The translated function is ...
g(x) = f(x - right) + up
g(x) = f(x -5) +1
g(x) = (x -5)^2 +1
g(x) = x^2 -10x +26
In "y =" form, this is ...
y = x^2 -10x +26 . . . . matches choice C
if he works at the theater he can make $288 in 32 hours, if he works at his aunts he can make $224 in 32 hours. he should work at the theater to meet his goal.
I really hope this helps