Answer:
The upper limit for the height of the prism is 
Step-by-step explanation:
Let
x------> represent the height of the prism
It is known that
the area of the base of the prism must not exceed


thus
-------> inequality A
------> equation B
-----> equation C
Insert equation B into equation C

------> equation D
Substituting equations B and D into inequality A
-------> using a graphing tool to solve the inequality
The resultant solution for x lies in the interval---------->![[0,12]](https://tex.z-dn.net/?f=%5B0%2C12%5D)
consult the attached figure
but bear in mind that
The width of the base must be
meters shorter than the height of the prism
thus
the solution for x is confined to the interval ------> ![(9,12]](https://tex.z-dn.net/?f=%289%2C12%5D)
The maximum height of the prism equals 
The equation that demonstrates a proportional relationship, maintaining a constant of proportionality equal to 14, is: Here, and are proportional with a constant of proportionality of 14.
Response:
la respuesta está abajo
Explicación paso a paso:
Debemos encontrar la ecuación para poder graficar.
De acuerdo a la afirmación, la ecuación sería:
E = v * t - Ei
Siendo Ei (20) la elevación inicial, t el tiempo transcurrido y la velocidad de 4, realizamos la sustitución y obtenemos:
E = 4 * t - 20
A continuación, debemos calcular los valores correspondientes:
E (0) = 4 * 0 - 20 = -20
E (1) = 4 * 1 - 20 = -16
E (2) = 4 * 2 - 20 = -12
E (3) = 4 * 3 - 20 = -8
E (4) = 4 * 4 - 20 = -4
E (5) = 4 * 5 - 20 = 0
Si graficamos, tendríamos la imagen anexa:
220: goodnight, mark me brainliest Explanation: Let M symbolize the count of people who drank milk, while T denotes those who consumed tea. Let x indicate the number who had both milk and tea. Consequently, the count of individuals who drank only milk is represented by n(M ∩ T') = 620 - x, and those who drank only tea is n(M' ∩ T) = 350 - x. Since 800 individuals took part, we have: 620 - x + (350 - x) + x + 50 = 800, simplifying to 1020 - x = 800. Therefore, x = 220. Thus, 220 individuals consumed both beverages.