This expression can be factorized using the difference of squares which can be illustrated as follows: A^2 - B^2 = (A+B)(A-B)
In the given example: sqrt(9x^2) = 3x sqrt(4) = 2 and the two squares are separated by a negative sign Therefore, the difference of squares is applicable
Based on this, factoring the given expression would give us: 9x^2 - 4 = (3x+2)(3x-2)
<h3>Hello there i hope you are having good day :) Question : Solve the problem by writing an inequality. = A club decides to sell T-shirts for $12 as a fund-raiser. It costs $20 plus $8 per T-shirt to make the T-shirts. Write and solve an equation to find how many T-shirts the club needs to make and sell in order to profit at least $100. Show your work? = So firstly the each of the shirt cost $12 and the money made for the shirt equals 12$ so the cost per the shirt would be 20 + 8x that lead to needing at least 100$ amount made - cost = profit would equal to 12x - (20-8x) ≥ 100 then you would do 12x-20-8x = 100 then you would also do 4x-20 = 100 then you add 20 and add 20 again that would equal 4x/4x = 120/4 that would finally lead you to the answer that would be x = 30 ---> x ≥ 30</h3><h3>Hopefully this help you.</h3>
