3.1: Quadratic Expressions and Area
gure A is a large square. Figure B is a large square with a smaller square removed. Figure Cis
composed of two large squares with one smaller square added.
Stu
Wa
Figure
Figure B
Figure
b. How man
Write an expression to represent the area of each shaded figure when the side length of the large
square is as shown in the first column.
side length of
large square
area of A
area of B
area ofc
2. Write
say
(x + 3)

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

c

step-by-step explanation:

c

step-by-step explanation:

you bought 31 v bucks

step-by-step explanation:

25+6=31