Answer:
12.083 units
Step-by-step explanation:
Here we are given with two coordinates and asked to determine the distance between them.
Here we are going to use the distance formula, which is given as under
Where
Replacing these values in the distance formula
Hence the distance is 12.083 units
Suppose p={0,1,2,3,4,5,6,7,8,9}and V={1,3,5,7,9,11,13,15,17,19} what is PnV?
vekshin1
Answer:
Step-by-step explanation:
means what do both lists have in common.
There is a 1,3,5,7, and 9 in both sets.
This implies .
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
Answer:
B. A shirt costs $15, and a pair of shoes costs $20.
Step-by-step explanation:
Let s = price of 1 shirt.
Let p = price of 1 pair of shoes.
Adam:
5s + 4p = 155
Friend:
3s + 2p = 85
We have a system of simultaneous equations.
5s + 4p = 155
3s + 2p = 85
Rewrite the first equation. Multiply both sides of the second equation by -2 and write below it. Add the equations.
5s + 4p = 155
(+) -6s - 4p = -170
--------------------------
-s = -15
s = 15
A shirt costs $15.
Now we replace s with 15 in the first original equation and solve for p.
5s + 4p = 155
5(15) + 4p = 155
75 + 4p = 155
4p = 80
p = 20
A pair of shoes costs $20.
