First, let's see how 23 compares with the squares of the positive whole numbers on the number line.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
The value of 23 is right between the square of 4 and the square of 5. Thus, the value √23 will be between 4 and 5.
Since 23 is much, much closer to the square of 5 than the square of 4, we can assume that the value √23 will be closer to 5 on the number line than 4.
Look at the attached image to see where I plotted the approximate location of √23.
You will realize that this approximation is pretty close since the actual value is roughly 4.80.
Let me know if you need any clarifications, thanks!
Answer:
y = 1/2x+8.5
Step-by-step explanation:
From (-11,3) to (-7,5) you get an average of 4 units to the right and 2 units up, divide that and you get 2 units right and 1 unit up in which the middle is (-9, 4). Add that until you get to (1, 9), go back one unit to get (0, 8.5), the slope is 1/2x because it is going 1 unit up and 2 units right.
Answer:
(3x - 3)(x - 2)
Step-by-step explanation:
3x² - 9x + 6
3x² - 6x - 3x + 6
3x(x - 2) - 3(x - 2)
<em><u>(3x - 3)(x - 2)</u></em>
Answer:
D. $2,511
Step-by-step explanation:
First off, we need to write down the facts we know.
There are about 52.177 weeks in a year
Cesar works 28 hours each week
Cesar makes $23 an hour
There are 12 months in a year
Cesar has $3,360 after his monthly expenses
To figure out how many hours are in a "work year," multiply the number of work hours in a week by the number of weeks in a year. In other words, multiply Cesar's 28 hour work week by about 52.177 weeks. That makes 1,456 hours in his work year. That means he makes $33,492 a year. If you multiply $2,511 by the months in a year (12), you get $30132. Finally, subtract his annual salary by $30132 to get $3,360, which is what was left of Cesar's earnings after paying all of his monthly expenses.
