A landscaper is comparing the costs of potted plants from two nurseries. Nursery P charges $15 per plant plus a $50 delivery fee on any order. Nursery Q charges $20 per plant and no delivery fee.

How many plants must the landscaper have delivered for the total cost to be the same at both nurseries?

A. 35

B. 10

C. 5

D. 200

The required number of plants is 10.

Step-by-step explanation:

Nursery P charges $15 per plant plus a $50 delivery fee on any order. Nursery Q charges $20 per plant and no delivery fee.

If x number of plants that must be delivered for the total cost to be the same at both nurseries, then

15x + 50 = 20x

⇒ 5x = 50

⇒ x = 10

Therefore, the required number of plants is 10. (Answer)

answer: our required factorization will be

(3x+4)(x²-5)

step-by-step explanation:

since we have given that

now, we will write it as :

so, we get

5(3x+4)

similarly,

here, we get,

2(3x+4)

together it becomes,

hence, our required factorization will be

(3x+4)(x²-5)