Answer:
B. (2,-5)
Step-by-step explanation:
The vertex of the function can be found in the most lower value that the function can have.
Since we have an ABS function involved we need to analyse it at first
We know that |x| = x if x> 0 and |x| = -x if x< 0
if we now change x by x-2 (the content of our ABS function involved, we have the following
|x-2| = x-2 if x-2> 0
|x-2| = -x+2 if x-2< 0
Those inequaiities have a common solution
x-2=0, this means that x=2 is the lowest value the ABS(X-2) has and it is equals to zero.
So by evaluating x=2 in the given function we will obtain its vertex.
leading to f(2)=6 |2-2|-5= -5
Hence the point (2,-5) is the vertex of our function
Solution:
Let the bottle of sunscreen cost be $x. Then we can write
($x+ $6.50)+6%($x+ $6.50)=$16.43
Now solve this for x as below
Hence the bottle of sunscreen cost $9.
Answer: x > 37
Step 1: You add 6.5 to both sides so you end up with:
1/2x > 18.5
Step 2: You then Multiple both sides by the reciprocal of 1/2 which is 2/1.
(2/1)1/2x > 18.5(2/1)
Step 3: Work it out and you will have x by itself.
x > 37
Answer:
The rate of change of the area of the circle is approximately 
.
Step-by-step explanation:
Given:
radius 
We need to find the rate of change of the area of the circle at that instant.
Solution:
Now we know that;
Area of the circle is given by π times square of the radius.
framing in equation form we get;
to find the rate of change of the area of the circle at that instant we need to take the derivative on both side.
Substituting the given values we get;
Hence The rate of change of the area of the circle is approximately .
