Answer:
P(x) = (0.049x - 0.0000015x²)
Step-by-step explanation:
price per sticker is 0.14 − 0.000002x dollars
total cost of producing the order is 0.091x − 0.0000005x² dollars.
P(x) = profit = Revenue - Cost
Let the number of units of stickers made be x
Revenue = (price per sticker) × (total units sold) = (0.14 − 0.000002x) × (x)
= (0.14x - 0.000002x²) dollars.
Cost of producing x units in the order = (0.091x − 0.0000005x²)
P(x) = 0.14x - 0.000002x² - (0.091x − 0.0000005x²) = 0.14x - 0.091x - 0.000002x² + 0.0000005x²
= (0.049x - 0.0000015x²)
P(x) = (0.049x - 0.0000015x²)
Hope this Helps!!!
(30 points) The coordinates of the vertices of quadrilateral JKLM are J(−3, 2) , K(3, 5) , L(9, −1) , and M(2, −3) .
Which statement correctly describes whether quadrilateral JKLM is a rhombus?
Quadrilateral JKLM is not a rhombus because there is only one pair of opposite sides that are parallel.
The firts thig we are going to do is create tow triangles using the angles of elevation of Paul and Jose. Since the problem is not giving us their height we'll assume that the horizontal line of sight of both of them coincide with the base of the tree.
We know that Paul is 19m from the base of the tree and its elevation angle to the top of the tree is 59°. We also know that the elevation angle of Jose and the top of the tree is 43°, but we don't know the distance between Paul of Jose, so lets label that distance as

.
Now we can build a right triangle between Paul and the tree and another one between Jose and the tree as shown in the figure. Lets use cosine to find h in Paul's trianlge:



Now we can use the law of sines to find the distance

between Paul and Jose:



Now that we know the distance between Paul and Jose, the only thing left is add that distance to the distance from Paul and the base of the tree:

We can conclude that Jose is 33.9m from the base of the tree.
What is the digit at the hundred thousands place? It is 2. Is the digit to the right of it less than 5? No, 5 is 5. So replace the digits to the right of 2 with 0, and change the 2 to 3.
Answer: 300,000
Lets take Gregs weight as “x”. This means that Justins weight is x-15, and x/2 = (x-15)-75.
If we take that last equation, lets combine like terms:
x/2 = x - 15 - 75
x/2 = x - 90
Now multiply both sides by 2 to get rid of the fraction
x = 2x - 180
Subtract 2x from both sides
x - 2x = -180
-x = -180
x = 180 — this is Gregs weight
Justins weight is x-15, so 180-15, which is 165 pounds. Hope this helped.