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!!!
Answer:
16 singles, 56 couples
Step-by-step explanation:
There's two linear equations that we can make: one for money and one for people.
Let the number of single tickets be s and the number of couple tickets be c
.
We know that the amount of money we make is $ = 20
s
+
35
c
=
2280
We also how many people can come P =
1
s
+
2
c
=
128
We know that both s are the same and both c are the same. We have two unknowns and two equations, so we can do some algebra to solve for each.
Take the first minus twenty times the second:
20
s
+
35
c =2280
−
20
s
−
40
c
=
−
2560
−
5
c
=
−
280
⇒
c
=
56
Plugging this back into the second equation,
s
+
2
c
=
s
+
2
⋅
56
=
s
+
112
=
128
⇒
s
=
16
Answer:
y = -2x + 2
General Formulas and Concepts
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
Slope Formula: 
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-1, 4)
y-intercept (0, 2)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract/Add:
- Divide:
<u>Step 3: Write linear equation</u>
y = -2x + 2
Supplementary Angles: 180-83, so the answer would be A) 97
PQ Line Segment: You would just have to get a ruler and measure it. From the looks of it, EF looks like the answer
The Drink cost $1.75 each, and candy bars cost $0.75 each.
let
The price of a drink = x
The price of a candy bar = y
Bart total purchase
Claudia total purchase
The cost of each can be calculated by combining the equations. Therefore,
2x + 2y = 5
x + 4y = 4.75
x = 4.75 - 4y
2(4.75 - 4y) + 2y = 5
9.5 - 8y + 2y = 5
9.5 - 6y = 5
-6y = -4.5
y = -4.5/-6
y = 0.75
2(0.75) + 2x = 5
1.5 + 2x = 5
2x = 5 - 1.5
2x = 3.5
x = 3.5/2
x = 1.75
Cost of a drink = $1.75
Cost of a candy bars = $0.75
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