On the field trip, abbey, bethany, christine, and darcy bought a total of 4 hot dogs and 3 sodas, which cost the girls $17.00. edward bought 2 hot dogs and 1 soda from the same lunch stand and it cost him $7.80 before tax. how much would one hotdog and one soda cost before tax?

6.30$

Step-by-step explanation:

If you add 7.80$ and 7.80$ that come to 4 hot dogs,

The rest of the money is how much one soda cost ( 2.40$ ),

Dividing that 7.80$ by 2, To only have one hot dog, would put you at

3.90$ fro one hot dog, then all you have to do is add them together, to get the total of 6.30

 7.80   |     17.00      |    7.80/2  |    2.40

+ 7.80  |    - 15.60     |    3.90     |  + 3.90

15.60   |   2.40          |                |   6.30

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: y > - 1/6x + 1

step-by-step explanation:

dashed line - meaning this < or > also not equal

solid line - meaning this < or > also equal

your answer is c because y > means up & it's shaded up, but y < means down

hope this ! : )