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:each box cost =$3
Step-by-step explanation:
Amount of money Ms Hart has to spent on costume boxes=$40
Amount gotten as change after purchase=$4
Amount actually used up buying costume boxes =$40-$4=36
Since she bought 12 boxes , each box cost =$36/ 12=$3
Step-by-step explanation:
-3x + 11x - 1 + 7x2 - 4x + 4
Solving like terms
7x2 + 4x + 3
Answer:
Look at explanation.
Step-by-step explanation:
<em><u>Dilation of scale factor of 5, because it would become more wide and open by a factor of 5. Reflection over y-axis, because it makes the shape double the size. Dilation of scale factor of 1/2, because it makes the shape half it's size.</u></em> The rotating 90 degrees would only change the shapes position, not the size. The translation would only move the shape to a different area, and not change the size.
Answer:
I believe it is congruent and intersecting
Step-by-step explanation:
