Notice that x+4 is one of the denominators, and that x(x+4) is the LCD.
x
Thus, mult. ------- by x(x+4), obtaining x^2.
x+4
Next, mult. [ 1/x + 1/(x+4) by x(x+4), obtaining x+4 + x = 2x+4 or 2(x+4)
x^2
Then the simplified fraction becomes ----------
2(x+4)

Generally Brainly allows you to post only 1 or 2 questions at a time. I will do #15 as a courtesy to you, but want you to try #16 yourself (or to post it separately).

-4, 2, 8, 14, ... is an arithm. seq. Every new term is equal to the previous term, plus 6: -4+6 = 2; 2+6=8, and so on. Thus: first term is a = -4; common difference is d = 6

a(50) = a(1) + (50-1)(6), or a(50) = -4 + (49)(6) = 290 (answer)

6 0

3 years ago

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.

Burka [1]

Area of Rectangle = length times width
lets say length = 2x-4
width = x+5

Note: you can switch these around, width could be 2x-4 and length could be x+5, it doesnt matter.

With that being said:
length * width = area
(2x-4)(x+5)=area
FOIL (First Outer Inner Last)
$2x^{2}+10x-4x-20=area$
Simplify:
$x^{2}+6x-20=area$

3 0

3 years ago