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
volume=length x width x height
length=3, width=2, height=5
so you just multiply 3x2x5 to get 30
Answer:
a) (-3, -7)
Step-by-step explanation:
a) (-3, -7)
In mathematics there is a rule of exponents where we can "distribute" the powers/exponents in the numerator and denominator of any expression. Therefore, given an expression as 
, the exponent n can be "distributed" as: 
.
In our case, the power, n=11; a=7 and b=4. Thus, the expression 
, can be written as 
.
Thus, out of the given options, option A is the correct option.
