Indicate which property is illustrated in Step 5. Step 1
Step 2
Step 3
Step 4.
Step 5
Step 6
7x + 3 + 4x + 8 = (7x + 3) + (4x + 8)
= 7x + (3+4x) + 8
= 7x + (4x + 3) + 8
= (7x + 4x) + (3 + 8)
= (7 + 4)X + (3 + 8)
= 11x + 11
A.
commutative
B.
arithmetic fact
C.
distributive
D.
associative

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}

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step-by-step explanation:

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step-by-step explanation:

c(x)= 6x + 3

step-by-step explanation: