Answer:
Part A:
The vertex : x = - b / 2 a = - 28 : ( - 2 ) = 14
y = f ( 14 ) = - 14² + 28 · 14 - 192 = 196 + 392 - 192 = 4
The vertex is ( 14, 4 ). It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.
Part B :
We will solve the quadratic equation:
x 1/2 = ( - 28 +/- sqrt ( 784 - 768 ) ) / ( - 2 )
x 1 = 12, x 2 = 16.
It means that if the shop must sell more than 12 and less then 16 sodas if they want to make a profit ( 13, 14, or 15 ). If they sell 12, or 16 they will brake even.
I think
Answer: (d). Area = 6.8 × 10^3 m^2 (to 2 significant figure)
Step-by-step explanation:
The area to find rectangular is:
Area = length × breadth
Area = 32.30 × 210
Area = 6783 m^2
Area = 6.8 × 10^3 m^2 (to 2 significant figure)
Answer:
3.33333333 . . .
Step-by-step explanation:
Answer:
Step-by-step explanation:
D
Answer: The answer is 2275 and 0.
Step-by-step explanation: Given that the Capulet and Montague families love to write. Last year, each Capulet wrote 44 essays, each Montague wrote 66 essays and both families wrote 100100 essays in total. This year, each Capulet wrote 88 essays, each Montague wrote 1212 essays, and both families wrote 200200 essays in total. We are to find the number of Capulets members and Montagues members.
Let there are 'x' members in Capulet family and 'y' members in the Montague family. Then, we have

Multiplying first equation by 2 and then subtracting from the second equation, we have

So,

Thus, there are 2275 Capulets and 0 Montagues.