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A greenhouse that specializes in growing bell peppers is divided into sections. The number of plants in each section depends on the number of sprinklers in that section. In a section with x sprinklers, there are 3x(x+3) Red bell pepper plants and (x+4) Yellow bell pepper plants. Which simplified expression represents the total number of red and yellow pepper plants in a section with x sprinklers ? Write the expression in standard form

Respuesta :

 [tex]3x^2+10x+4[/tex] represents the total number of red and yellow pepper plants in a section with x sprinklers .

Step-by-step explanation:

Here we have , A greenhouse that specializes in growing bell peppers is divided into sections. The number of plants in each section depends on the number of sprinklers in that section. In a section with x sprinklers, there are 3x(x+3) Red bell pepper plants and (x+4) Yellow bell pepper plants. We need to find Which simplified expression represents the total number of red and yellow pepper plants in a section with x sprinklers . Let's find out:

In a section with x sprinklers,

  • there are 3x(x+3) Red bell pepper plants and

Let's Simplify

⇒ [tex]3x(x+3)[/tex]

⇒ [tex]3x^2+9x[/tex]

  • (x+4) Yellow bell pepper plants .

Let's Simplify

⇒ [tex]x+4[/tex]

Total Plants = Red + Yellow

⇒ [tex]3x^2+9x+(x+4)[/tex]

⇒ [tex]3x^2+10x+4[/tex]

Therefore ,  [tex]3x^2+10x+4[/tex] represents the total number of red and yellow pepper plants in a section with x sprinklers .

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