Answer:
The answer is below
Step-by-step explanation:
Plotting the following constraints using the online geogebra graphing tool:
x + 3y ≤ 9 (1)
5x + 2y ≤ 20 (2)
x≥1 and y≥2 (3)
From the graph plot, the solution to the constraint is A(1, 2), B(1, 2.67) and C(3, 2).
We need to minimize the objective function C = 5x + 3y. Therefore:
At point A(1, 2): C = 5(1) + 3(2) = 11
At point B(1, 2.67): C = 5(1) + 3(2.67) = 13
At point C(3, 2): C = 5(3) + 3(2) = 21
Therefore the minimum value of the objective function C = 5x + 3y is at point A(1, 2) which gives a minimum value of 11.
The scientist that made a more concentrated salt solution is scientist A.
<h3>How to compute the value?</h3>
Since Scientist A dissolved 1.0 kilogram of salt in 3.0 liters of water. The concentration will be:
= 1/3 = 0.33
Scientist B dissolved 2.0 pounds of salt into 7.0 pints of water. The concentration will be:
= 2/7
= 0.285
Therefore, the scientist that made a more concentrated salt solution is scientist A.
Learn more about scientist on:
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Answer:(x-1)(x+8)
Step-by-step explanation: You need to set it up as (x+y)(x+z) format. To get that you need to flip the zeroes making them the opposite. So the answer in this case would be (x-1)(x+8).
Answer:
part a= -1
part b= -4
Step-by-step explanation:
f(x) is y. plug in -4 for y and check x
Answer:
3.5
Step-by-step explanation:
you will go like sum of frequency multiplied by score divided by sum of frequency