Let x = software program
Let y = video game
x < 200 ; y < 300
x + y < 425
50x ; 35y
x = 200 ; y = 225
50(200) + 35(225) = 10,000 + 7,875 = 17,875
x = 125 ; y = 300
50(125) + 35(300) = 6,250 + 10,500 = 16,750
x = 175 ; y = 250
50(175) + 35(250) = 8,750 + 8,750 = 17,500
It is more profitable to maximize production of software program when working within the limits provided.
Given function:
The minimum value of the function can be found by setting the first derivative of the function to zero.
Solving for x:
Substituting the value of x into the original function:
Hence, the minimum value in the given range is (-1, -0.368)
Answer:
Brian's average speed: 14.73 mile/hour
The traveled distance by skiing he estimated: 11.0475 miles.
As the information provided in table, the time he spent for skiing is 0.75
=> The distance Brian traveled by skiing: 14.73 x 0.75 = 11.0475 (miles)
=> Brian's product is correct.
=> Rounding to the nearest whole number => 11.0475 = 11 (miles)
Rounding the Brian's average speed to the nearest whole number:
=> 14.73 = 15 mile/hour
Round the activity time to the nearest whole number:
=> T = 3 + 1.45 + 1.2 + 0.75 = 6.4 = 6 (hour)
Hope this helps!
:)
Simplify the following:5 i/(3 i + 2)^2
(3 i + 2)^2 = 4 + 6 i + 6 i - 9 = -5 + 12 i:(5 i)/12 i - 5
Multiply numerator and denominator of (5 i)/(12 i - 5) by 5 + 12 i:(5 i (12 i + 5))/((12 i - 5) (12 i + 5))
(12 i - 5) (12 i + 5) = -5×5 - 5×12 i + 12 i×5 + 12 i×12 i = -25 - 60 i + 60 i - 144 = -169:(5 i (12 i + 5))/-169
i (12 i + 5) = -12 + 5 i:(5 5 i - 12)/(-169)
Multiply numerator and denominator of (5 (5 i - 12))/(-169) by -1:Answer: (-5 (5 i - 12))/169
Answer:
x=1.75 hour
Step-by-step explanation:
200km=2.5
140km=x
2.5 * 140=200x
350=200x
x=350/200
x=1.75
the time it will take is x=1.75 hour
