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The answer is your mama

Step-by-step explanation:

sometimes i just have to Select the correct answer.

Read this excerpt from Behind the Scenes, the autobiography of African American writer Elizabeth Keckley. Keckley was once a slave in the South and later worked as a dressmaker at the White House. Which sentence best summarizes the excerpt?

I went to work in earnest to purchase my freedom, but the years passed, and I was still a slave. Mr. Garland's family claimed so much of my attention—in fact, I supported them—that I was not able to accumulate anything. In the meantime, Mr. Garland died, and Mr. Burwell, a Mississippi planter, came to St. Louis to settle up the estate. He was a kind-hearted man, and said I should be free, and would afford me every facility to raise the necessary amount to pay the price of my liberty. Several schemes were urged upon me by my friends. At last I formed a resolution to go to New York, state my case, and appeal to the benevolence of the people. The plan seemed feasible, and I made preparations to carry it out. When I was almost ready to turn my face northward, Mrs. Garland told me that she would require the names of six gentlemen who would vouch for my return, and become responsible for the amount at which I was valued. I had many friends in St. Louis, and as I believed that they had confidence in me, I felt that I could readily obtain the names desired. I started out, stated my case, and obtained five signatures to the paper, and my heart throbbed with pleasure, for I did not believe that the sixth would refuse me.

Step-by-step explanation:

ngl

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}