Simplify the expression. Show all of your work. 16 plus 4 cubed times 2 divided by 16
1 answer:
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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:
Company A:
Company B:
Step-by-step explanation:
The initial fee is the y-intercept, as that is the cost at x = 0, or the cost before any time has passed. Afterwards, the rate the cost increases is the slope.
Linear equation in slope-intercept form:
where m is the slope and b is the y-intercept.
Company A charges $50 up front and $40 per hour afterwards, so the equation would be:
Company B charges $25 up front and $50 per hour, so: