The dimensions of a playground are represented by a width of 10x+2 feet and a length of 5x -5 feet. Write an expression that represents the area of the playground?
A.50x^2+30x+4
B.50x^2-40x-10
C.50x^2+40x+10

B) 50x^2-40x-10

Step-by-step explanation:

Assuming that the playground is rectangular, A=L•W

A=(5x-5)(10x+2) Use the FOIL method

= 50x^2+10x-50x-10 Combine like terms

= 50x^2-40x-10

B) 50x^2-40x-10

Step-by-step explanation:

Assuming that the playground is rectangular, A=L•W

A=(5x-5)(10x+2) Use the FOIL method

= 50x^2+10x-50x-10 Combine like terms

= 50x^2-40x-10

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.