To get the other factor of the expression x² - 10x + 24, we can use long or synthetic division. We are given that the other factor is x - 6, so we can use that as our divisor. Our setup should look something like this:
x² - 10x + 24 ÷ x - 6
Here is the work using polynomial long division:
<u> x -4 </u>
x - 6 | x² - 10x + 24
<u> </u><span><u>x² - 6x</u>
</span> 0 - 4x + 24
<span><u>-4x - 24</u>
</span> 0
We can see that our quotient is x - 4, which would be the other factor of x - 6 to get x² - 10x + 24. The answer to your query is x - 4. Hope this helps and have a phenomenal day!
1 hour = 60 minutes
Tuesday: 60 divided by 4 = 15. Karen did it 3/4 of a hour so we multiply 15 by 4 which is 45. 45 equals 45 minutes. On Tuesday, Karen finished her chores in 45 minutes
Wednesday: first we divide 60 by 12 which is 5. 5 would equal 5 minutes. now we multiply 5 by 5 which is 25. Karen finished her chores in 25 minutes.
Answer: Karen finished her chores 20 minutes faster on Wednesday than Tuesday.
Hope this helps!
Length - l
Width - w
Given,
Perimeter = 60
2(l +w) = 60
l + w = 30
l = 30 - w
Given,
l = 3w
30 - w = 3w
4w = 30
--- w = 7.5
--- l = 3w = 3 * 7.5 = 29.5
Hence, the length of the rectangle is 29.5 and the width is 7.5
87.5% of 104
87.5% x 104 = 91 homes handed out candy
