Answer:
Objective Function: P = 2x + 3y + z
Subject to Constraints:
3x + 2y ≤ 5
2x + y – z ≤ 13
z ≤ 4
x,y,z≥0
Step-by-step explanation:
Given that a company budgeted 5 1/4 hours to complete a project, determine how much time they spent on research if they spent 1/3 of the total budget.
First, convert the budget from hours into minutes.
5 1/4 hours = 315 minutes
1 hour = 60 min
1/4 hour = 15 min
60 x 5 = 300
300 + 15 = 315
Then, divide the minutes by 3 or multiply it by 1/3.
315 / 3 = 105
315 x 1/3 = 105
Lastly convert to a mixed number.
1 3/4 hour
Thus, the company plans to spend 1 3/4 hours or 1 hour and 45 minutes on research.
From the above function, it is clear that the value of f is never 0. Hence the statement that is true is (Option E), See explanation of same below.
<h3>What is the explanation for the above function?</h3>
Note that the function is related to Euler's number which is depicted as:
e ≈ 2.7182. The function is given as:
f(x) = 100 * ![e^{-x}](https://tex.z-dn.net/?f=e%5E%7B-x%7D)
Assuming x = -2, we'd have:
100 * 2.7182![^{-2}](https://tex.z-dn.net/?f=%5E%7B-2%7D)
= 271.82![^{-2}](https://tex.z-dn.net/?f=%5E%7B-2%7D)
= 0.00001353354
Hence, even when x tends < 0 the function f(x) thus, is never 0. See the attached graph for confirmation.
Learn more about functions at:
brainly.com/question/25638609
#SPJ1
Answer:
= -21 - 15g
Step-by-step explanation:
Given that:
= -3(7+5g)
By simplifying
As "-" sign will invert the inner signs:
= -21 - 15g
I hope it will help you!!
Answer:
bozo
Step-by-step explanation: