Hold on ill have it all figured out
<em>Answer:</em>
<em><u>93</u></em><em> Is the square root </em>
<h3>
Answer: (x-2)(x+2)(x+3)(x+3)</h3>
This is the same as (x-2)(x+2)(x+3)^2. The order of the factors doesn't matter.
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Explanation:
x^2-4 factors to (x-2)(x+2) after using the difference of squares rule
x^2+6x+9 factors to (x+3)(x+3) after using the perfect square trinomial factoring rule
So overall, the original expression factors to (x-2)(x+2)(x+3)(x+3)
We can condense this into (x-2)(x+2)(x+3)^2 since (x+3)(x+3) is the same as (x+3)^2
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Side notes:
- Difference of squares rule is a^2 - b^2 = (a-b)(a+b)
- The perfect square trinomial factoring rule is a^2+2ab+b^2 = (a+b)^2
3 pairs cost $165
165/3 = 55
1 pair cost $55
Eleven pairs would cost 11(55) = $605
Assuming that no overtime was factored into his wages, Alex would have gotten a gross pay of $359.60. This was done by multiplying $7.86 x 45.75 hours.
Assuming that overtime was factored into his wages, Alex would have gotten a gross pay of $382.19. This was done by figuring out how much "time and a half" is for over time. "time" = 7.86; "and a half"= 7.86/2= 3.93
Time AND a half would equal 7.86 + 3.93= 11.79.
So, Alex would get an additional $11.79 for the hours OVER 40 hours which was 5 hours and 75 minutes..
11.79 x 5.75 = 67.79
Total hours for a 40 hour work week for Alex with 7.86 would equal a gross pay of 314.40. Plus 67.79. = 382.19