Answer:
your mom. ...............
Answer:
x + y + z = 180 (this is the first equation)
w + z = 180 (this is the second equation)
Now, rewrite the second equation as z = 180 - w and substitute that for z in the first equation:
x + y + (180 - w) = 180
x + y - w = 0
x + y = w
Step-by-step explanation:
The Profit = Revenue - CostP ( x ) = ( 40 x - 0.5 x² ) - ( 5 x + 15 ) = = 40 x - 0.5 x² - 5 x - 15 = - 0.5 x² + 35 x - 15The maximum profit is when: P`( x ) = 0P ` ( x ) = ( - 0.5 x² + 35 x - 15 ) ` = - x + 35- x + 35 = 0x = 35 ( the number of units )P max = - 0.5 · 35² + 35 · 35 - 15 = - 612.5 + 1225 - 15 = 597.5Answer: The maximum profit is 597.5 and the number of units is 35.
Answer:
b. -(x - 7)(x + 10)
Step-by-step explanation:
-x² - 3x + 70
-(x - 7)(x + 10)
Speed = 93km /h and 72km/h
Answer: The taxi went a distance of 554.7km
Step-by-step explanation:
Speed = Distance / Time
Distance covered in the first trip = Speed x Time
Time = 1 hour 54 min =1+0.9 hours =1.9hours
=93km / h x 1.9 hours =176.7km
Distance covered in the second trip = Speed x Time
Time = 5 hours 15min = 5+0.25hours =5.25hours
=72km / h x 5.25hours =378 km
Total distance =176.7km+378 km
=554.7km