1.name a real-world situation where you might expect to transform data. describe the situation and how the data might be transformed.

2.the act of transforming (or manipulating) data is permissible because the same rule is applied to all data in a given set. in other words, you're not just transforming some of your data while leaving other data points alone. the same concept appears in algebra when isolating a variable to solve a given equation. as long as each step applies the same rule to both sides of the equation, it is permissible. even driving safely by car is possible because all drivers agree to drive on the same side of the road. can you think of two other examples where a similar logic might apply?

3.in this lesson you saw that transforming data is a powerful tool for gaining insight into the data. can you think of a situation for which you would not choose to transform the data? describe characteristics of the data set and why a transformation would not be appropriate.

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 ! : )

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

16.80 times .20= 3.36

step-by-step explanation: