The the probability of finding a certain card depends on how many cards you have in total.
Step-by-step explanation:
1. (4m² - 1.5m + 2) + (9m - 2m³ + 2m)
= 4m² - 1.5m + 2 + 9m - 2m³ + 2m
= 4m² + (-1.5m + 9m + 2m) + 2 + 2m³
= 4m² + 9.5m + 2 + 2m³
= 2m³ + 4m² + 9.5m + 2
2. (-3y + 2y² - 6) + (3y + 4y² + x)
= -3y + 2y² - 6 + 3y + 4y² + x
= (-3y + 3y) + (2y² + 4y²) - 6 + x
= 0y + 6y² - 6 + x
= 6y² - 6 + x
After solving the linear programming problem, we get the answer as <u>250</u>.
What is linear programming?
When a linear function is <u>exposed to multiple restrictions, </u><u>linear </u><u>programming maximizes or minimizes the function</u>. This method determines the best way to use the resources that are currently available and aids managers in using the process to <u>make </u><u>decisions </u><u>about the most efficient use of scarce resources, such as money, time, materials, and machinery</u>. Linear programming has been useful for guiding quantitative decisions in business planning, industrial engineering, and—to a lesser extent—in the social and physical sciences.
Solution explained:
x=3, y=4 P(3,4) Coordinates of the solution point
x=4, y=3 Q(4,3)
Coordinates of the simultaneous eqs.
x=14/3, y=8/3
Putting the values of x and y in the equation P = 30x + 40y and calculating we get
P(P) = 250, P(Q) = 240, P(R) = 246.67
So, the answer is 250
To learn more about linear programming, use the link given
brainly.com/question/24038519
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Answer:
-4
Step-by-step explanation:
![11v-8=3](https://tex.z-dn.net/?f=11v-8%3D3)
![11v=11](https://tex.z-dn.net/?f=11v%3D11)
![v=1](https://tex.z-dn.net/?f=v%3D1)
Then plug 1 in for v in 4v-8
![4(1)-8](https://tex.z-dn.net/?f=4%281%29-8)
![4-8](https://tex.z-dn.net/?f=4-8)
![-4](https://tex.z-dn.net/?f=-4)