Answer:
c
Step-by-step explanation:
The variable y in the second equation has a coefficient of 2 so it will be easy to divide the entire equation by 2.
F ( x ) = - ( x -20 ) ( x - 100 ) =
= - ( x² - 100 x - 20 x + 2000 )=
- x² + 120 x - 2000
The greatest profit is when ; f´( x ) = 0
f ´ ( x ) = - 2 x + 120 = 0
2 x = 120, x = 60
60 purchase orders will generate the greatest profit.
The cost of one drink is $2.50 and cost of one popcorn is $3.75
<u><em>Explanation</em></u>
Suppose, the cost of one drink is 
dollar and cost of one popcorn is 
dollar.
Given that, total cost for 2 drinks and 2 popcorns is $12.50 and total cost for 6 drinks and 5 popcorns is $33.75
So, the system of equations will be......
Multiplying equation (1) by -3 , we will get.....
Now, adding equation (2) and equation (3) , we will get ............
Plugging this 
into equation (1) ......
So, the cost of one drink is $2.50 and cost of one popcorn is $3.75
Answer:
√2(√3 - 1)/4
Step-by-step explanation:
To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).
Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,
Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°
Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.
Substituting these values into the above equation, we have
Cos75° = Cos(45° + 30°)
= Cos45°Cos30° - Sin45°Sin30°
= √2/2 × √3/2 - √2/2 × 1/2
= √6/4 -√2/4
= √2(√3 - 1)/4
Answer:
(3,-7) I think.
Step-by-step explanation:
