Answer:
$2,820
Step-by-step explanation:
In this question, we need to find how much profit the company made.
First, find how much revenue they made using the expression: 5x² + 2x - 80
Since we know they sold 1,000 videogame systems, plug in 1000 into x.
5(1000)² + 2(1000) - 80
Solve:
5(1000)² + 2(1000) - 80
5000000 + 2000 - 80
Revenue: $5,001,920
Since revenue is not the number for profit, we need to find how much it cost to make the 1000 videogame systems. Use the expression: 5x² – x + 100
Plug in 1000 to x.
Solve:
5(1000)² – 1000 + 100
5000000 – 1000 + 100
Cost to make: $4,999,100
Now, to find the profit, we would subtract the cost to make from the revenue. This is represented with the function: P(x) = R(x) - C(x)
P(x) = Profit
R(x) = Revenue
C(x) = Cost
Solve:
5,001,920 - 4,999,100 = $2,820
This means that the company made $2,820 in profit
Orders: x
Inventory: y
1) First table
x2-x1=6-3→x2-x1=3
y2-y1=1920-1960→y2-y1=-40
x3-x2=9-6→x3-x2=3=x2-x1
y3-y2=1900-1920→y3-y2=-20 different to y2-y1=-40. The table does not represent a linear relationship.
2) Second table
x2-x1=7-5→x2-x1=2
y2-y1=1860-1900→y2-y1=-40
x3-x2=9-7→x3-x2=2=x2-x1
y3-y2=1820-1860→y3-y2=-40=y2-y1
x4-x3=11-9→x4-x3=2=x3-x2
y4-y3=1780-1820→y4-y3=-40=y3-y2
x5-x4=13-11→x5-x4=2=x4-x3
y5-y4=1740-1780→y5-y4=-40=y4-y3
The table represents a linear relationship.
3) Third table
x2-x1=2-1→x2-x1=1
y2-y1=1000-2000→y2-y1=-1000
x3-x2=3-2→x3-x2=1=x2-x1
y3-y2=500-1000→y3-y2=-500 different to y2-y1=-1000. The table does not represent a linear relationship.
4) Fourth table
x2-x1=6-4→x2-x1=2
y2-y1=1640-1840→y2-y1=-200
x3-x2=8-6→x3-x2=2=x2-x1
y3-y2=1360-1640→y3-y2=-280 different to y2-y1=-200. The table does not represent a linear relationship.
Answer: The second <span>table best represents a linear relationship.</span>
The correct answer is C
Explain
The graph is given
F(x) is given -2^x
By putting x= - 3 in the first equation
G(x) = -9
Which is false
by putting x= -3 in the second equation
g(x) is also equal -9
Which is false
Hope this help you :D
I believe your answer is A.
