What is 6.43 * 10^5 written in standard form

6.43 * 10^5 can be written in standard form as 643,000.

Complete the sentence to explain how to estimate the value of 2 + √45.

The value of √45 is between the consecutive integers ___ and ___. This means that the value of 2 + √45 must be between the consecutive integers ___ and ___.

The value of √45 is between the consecutive integers 6 and 7. This means that the value of 2 + √45 must be between the consecutive integers 8 and 9.

An equation is shown.

8x-4=10x+4
What is the value of x?

To find the value of x in the equation 8x - 4 = 10x + 4, we need to isolate x on one side of the equation.

First, let's subtract 8x from both sides:
-4 = 2x + 4

Next, let's subtract 4 from both sides:
-8 = 2x

Finally, divide both sides by 2:
-4 = x

Therefore, x = -4.

A set of points representing a relationship is shown.

{(0,8),(1,5),(1,6),(3,2),(4,8)}
Complete the sentence to explain whether the set of points represents a function.
The set of points ___ represent a function because ____.

The set of points does not represent a function because 1 has two different outputs, specifically (1, 5) and (1, 6). In a function, each input can only have one unique output.

In 2010, the population of Jacksonville, Florida, was about 8.23 * 10^5. In 2020, the population was about 9.26 * 10^5.

Which expression represents the amount the population increased from 2010 to 2020

To find the amount the population increased from 2010 to 2020, we need to find the difference between the population in 2020 and the population in 2010.

Let's call the population in 2010 P1 and the population in 2020 P2.

P1 = 8.23 * 10^5

P2 = 9.26 * 10^5

The expression that represents the amount the population increased from 2010 to 2020 can be written as:

P2 - P1 = (9.26 * 10^5) - (8.23 * 10^5)

Which expression is equivalent to 3w(w + 2)?