Question

A greenhouse that specializes in growing carnations is divided into sections. The number of plants in each section depends on the number of sprinklers in that section.
There are y(5y − 4) red carnation plants and (9 + y)2 white carnation plants in a section with y sprinklers.

Which simplified expression represents the total number of red and white carnation plants in a section with y sprinklers?

Answer 1

The solution would be like this for this specific problem:

y(5y − 4) + (9 + y)²

Simplify the expression:

(5y² − 4y) + (81 + 18y + y²) 

Combine the like terms:

6y² + 14y + 81

The simplified expression that represents the total number of red and white carnation plants in a section with y sprinklers is 6y² + 14y + 81. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

Answer 2

Answer:

The required equation is  $T=6y^2+14y+81$

Step-by-step explanation:

Given : A greenhouse that specializes in growing carnations is divided into sections. The number of plants in each section depends on the number of sprinklers in that section.

Red carnation plants = $y(5y-4)$

White carnation plants = $(9+y)^2$

with y sprinklers.

To find : Which simplified expression represents the total number of red and white carnation plants in a section with y sprinklers?

Solution :

Total number = Red carnation + White carnation plants

$T=y(5y-4)+(9+y)^2$

Now, we solve the equation

$T=5y^2-4y+9^2+y^2+2\cdot 9\cdot y$

$T=5y^2-4y+81+y^2+18y$

$T=6y^2+14y+81$

Therefore, The required equation is  $T=6y^2+14y+81$