Which single transformation or sequence of transformations would take triangle ABC to the image A'B'C'? Check all that apply. (A) Dilation by a scale factor of 12, rotation of 180° about the origin, and a translation up 1.

(B) Reflection across y-axis, translation up 2 units, dilation by a scale factor of 12, and a translation down 5 units.

(C) Dilation by a scale factor of 2, reflection across the y-axis, and a translation down 4 units.

(D) Dilation by a scale factor of 12, reflection across the y-axis, and a translation down 4 units.

(E) Dilation by a scale factor of 2, translation down 4 units, and reflection across the y-axis.

(F) Translation down 6 units, reflection across y-axis, dilation by a scale factor of 12, and a translation down 1 unit.

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}

step-by-step explanation:

is their an equation anywhere i can take a   look at it and see if i am right.

a.for lorena 14 hours makes $126   for 16 hours she makes 144

for julie 6 hours makes $72 for 21 hours its $252

b. julie makes more money than lorena julie makes $12 an hour and lorena makes $9  

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