Question

A greenhouse that specializes in growing geraniums is divided into sections. The number of geranium pots in each section depends on the number of sprinklers in that section.

There are x(7x − 2) pots of red geraniums and (x + 3)2 pots of pink geraniums in a section with x sprinklers.

Which simplified expression represents the total number of red and pink geranium pots in a section with x sprinklers? (5 points)

a
8x2 + 4x + 9

b
8x2 + 6x + 9

c
8x2 + 6x + 7

d
8x4 + 4x2 + 9

Answer 1

A greenhouse that specializes in growing geraniums is divided into sections. The number of geranium pots in each section depends on the number of sprinklers in that section.

There are x(7x − 2) pots of red geraniums and (x + 3)^2 pots of pink geraniums in a section with x sprinklers.

Which simplified expression represents the total number of red and pink geranium pots in a section with x sprinklers? (5 points)

a

8x^2 + 4x + 9

b

8x^2 + 6x + 9

c

8x^2 + 6x + 7

d

8x^4 + 4x^2 + 9

Is that what you mean, Jalenschaefer12? The way you had it made it confusing. If you want to do an exponent just do the carat sign (^), then a number, for example 4^22.

Answer 2

a) 8x^2 + 4x + 9

Explanation:

To find the total number of red and pink geranium pots, we need to add the two expressions given for the number of pots for red and pink respectively.

x (7x - 2) + (x + 3)^2

Expanding x (7x - 2) gives (7x^2 - 2x)

Expanding (x + 3)^2 gives (x^2 + 6x + 9)

Adding the like terms in these two expanded expressions:

(7x^2 - 2x) + (x^2 + 6x + 9)

= 7x^2 + x^2 + 6x - 2x +9

8x^2 + 4x + 9