For this case we have that the original vertex is given by:
P = (4, -5)
We apply the following transformation:
(x, y) (-x, y)
We have then:
(4, -5) (- (4), -5) (- 4, -5)
Therefore, we have a reflection on the y axis.
The point obtained is the vertice:
P '= (-4, -5)
Answer:
the line of reflection is:
the y-axis
Answer:
no solution
Step-by-step explanation:
12x − 18y = 27
4x − 6y = 10
Multiply the second equation by -3 so we can eliminate x
-3(4x − 6y) = 10*-3
-12x +18y = -30
Add the first equation to this new equation
12x − 18y = 27
-12x +18y = -30
------------------------
0 = -3
This is not a true equation, so there is no solution
As x approaches -7 from the right, y reaches negative infinity
Answer: 0.9
Step-by-step explanation:
Answer:
<em>The least number of items to produce is 41</em>
Step-by-step explanation:
<u>Average Cost</u>
Given C(x) as the cost function to produce x items. The average cost is:

The cost function is:

And the average cost function is:

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.
We set the inequality:

Multiplying by x:

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.
Adding 20x:


Swapping sides and changing the sign:

Dividing by 41:

The least number of items to produce is 41