Question:

Consider the following sequence of steps to solve the equation: -15 + 4x + 4x2 = 0

Step 1 ⇒ 4x2 + 4x - 15 = 0
Step 2 ⇒ 4x2 - 6x + 10x - 15 = 0
Step 3 ⇒ 2x(2x - 3) + 5(2x - 3) = 0
Step 4 ⇒ (2x + 5)(2x - 3) = 0
Step 5 ⇒ x = -3/2 or x = 5/2

A. Explain why Step 1 is valid using properties of the real number system.
Show possible intermediate steps to support your explanation.

A. Explain why Step 4 is valid.

The jurassic zoo charges $14 for each adult admission and $5 for each child. the total bill for 77 people from a school trip was $565. how many adults and how many children went to the zoo? i

Solve the equation using the given values: x= -2.5; y= -7.51. 2xy + 2x²

1. why is a frequency distribution useful? it allows researchers to see the "shape" of the data. it tells researchers how often the mean occurs in a set of data. it can visually identify the mean. it ignores outliers. 2. the is defined by its mean and standard deviation alone. normal distribution frequency distribution median distribution marginal distribution 3. approximately % of the data in a given sample falls within three standard deviations of the mean if it is normally distributed. 95 68 34 99 4. a data set is said to be if the mean of the data is greater than the median of the data. normally distributed frequency distributed right-skewed left-skewed