Simplify your answer

The expression 8x2 − 144x 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represent

Rzqust [24]

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Given expression 8x² − 144x + 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998.

<h3>What is a quadratic equation?</h3>

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given expression is 8x² − 144x + 864

Let y = 8x² − 144x + 864

also, y - 864 = 8x² - 144x

by Extracting common factor 8 on the right side

y - 864 = 8(x² - 18x)

Add (18/2)² on both sides, we get

y - 864 + 8(18/2)² = 8 (x² - 18x + 81²)

y - 864 + 648 = 8 (x² - 8x + 9)

on simplification

y - 216 = 8 (x - 9)²

y = 8(x - 9)² + 216

therefore, y = 8 (x - 9)² + 216

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Learn more about a quadratic equation here:

brainly.com/question/2263981

8 0

2 years ago

What is the relative frequency of adults whose favorite food if pizza?

lubasha [3.4K]

Relative Frequency is how often something happens divided by all outcomes.

24 adults like pizza from a total pf 50 adults.
The frequency of adults who like pizza is 24.
The Relative Frequency of winning is 24/50 = 0.48 = 48%

3 0

4 years ago

The scores on a math test are normally distributed with a mean of 64 and a standard deviation of 8. Tara scored 52 on the test.

Dvinal [7]

A z-score<span> is the number of standard deviations from the mean a data point is.
</span>
Standard deviation explains by how much the members of a group differ from the mean value for the group.
Using the z-score formula:
z = ( x - μ ) ÷ σ
Where;
x = score
μ = Mean
σ = Standard deviation

Z- Score (Tara) = ( 52 - 64 ) ÷ 8
= - 12 ÷ 8
= - 1.5

Z- Score (Jamal) = ( 82 - 64 ) ÷ 8
= 18 ÷ 8
= 2.25

Z- Score (Samuel) = ( 66 - 64 ) ÷ 8
= 2 ÷ 8
= 0.25

6 0

3 years ago

The variance of a stock's returns can be calculated as the:

Tamiku [17]

Answer:

The correct option is b.

Step-by-step explanation:

The formula for standard deviation is

$\sigma^2=\frac{\sum {(x-\overline{x})^2}}{n}$

where, $\overline{x}$ is mean of the data and n is number of observation.

The variance of a stock's returns can be calculated by the above formula.

Variance of stock's returns is the average value of squared deviations from the mean.

Therefore the correct option is b.

4 0

4 years ago

Letters a, b, c, and d are angles measures.

seropon [69]

The answers are:

a = c

c = d

b + d =180 degrees

Here's how:

When a line intersects two parallel lines, then corresponding angles are formed which means the same corners are congruent.

option c = d is considered.

And, because of vertical angles,

a = d is also an answer.

Below is an attached picture of the figure

7 0

3 years ago