For a party at lamarge inn, the hostess created a single welcome display with 20 flowers, along with a 10-flower centerpiece on each table. this can be represented by the equation y = 10x + 20

Slope:  Number of flowers per centerpiece.

Output: Number of flowers

Input: Number of centerpieces

Y-Intercept: Number of flowers in welcome display

Step-by-step explanation:

Slope: Slope is the rise over run, which means that it is going to be a number. This is usually attached to your x value. So your slope will be 10/1, or your number of flowers per centerpiece.

Output: This is going to be your y value, or what everything else equals. This will be your number of flowers overall, in each centerpiece plus the welcome display.

Input: This will be the number that you put into the equation to get your answer, or total number of flowers. Your input will be your number of centerpieces.

Y-Intercept: This is your last value added onto the end, or your 20. This is the number of flowers in the welcome display.

Slope:  Number of flowers per centerpiece.

Output: Number of flowers

Input: Number of centerpieces

Y-Intercept: Number of flowers in welcome display

Step-by-step explanation:

Edge 2021

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}

answer:     true

step-by-step explanation: