6x + 9 = 75 jdjdkdjdjdndndnddjdk
2 answers:
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<h2>Steps:</h2>
So for this, since C(x) is the cost, and we are given the cost of $9050, we will plug 9050 into C(x) and solve for x:
So for this, I will be completing the square. Firstly, subtract 74 on both sides of the equation:
Next, we want to make the right side of the equation a perfect square. To find the constant of this soon-to-be perfect square, you need to divide the x coefficient by 2, square the quotient, then add the result on both sides of the equation. In this case:
-14 ÷ 2 = -7, (-7)² = 49
Next, factor the left side:
Next, square root both sides:
Next, add 7 to both sides:
Next, solve the left side twice. Once with the plus symbol, once with the minus symbol:
Since we cannot have negative units in this context, <u>at the cost of $9050 you can manufacture 102 units.</u>