The cost C(in dollars) of producing x widgets is represented by c=4.5x squared. how many widgets are produced if the cost is $544.50.
I'm sorry, but "squareds" is not a proper mathematical term. "Squared" refers to raising a number to the power of two (multiplying it by itself), resulting in a new number that is the original number "squared." For example, 3 squared is 9 (3 x 3 = 9). Similarly, x squared would represent x multiplied by itself, or x^2.
The cost C(in dollars) of producing x widgets is represented by c=4.5x squared. To find the number of widgets produced when the cost is $544.50, we can solve the equation 4.5x^2 = 544.50.
x^2 = 121
x = 11
Therefore, 11 widgets are produced if the cost is $544.50.
what does ^ mean?
i think it means squareds
thx
You're welcome! If you have any other questions, feel free to ask.
To find the number of widgets produced when the cost is $544.50, you need to solve the equation c = 4.5x^2, where c represents the cost and x represents the number of widgets.
Given that the cost is $544.50, you can substitute this value into the equation:
544.50 = 4.5x^2
To isolate x^2, divide both sides of the equation by 4.5:
544.50 / 4.5 = x^2
The left side simplifies to:
120.67 = x^2
Next, take the square root of both sides to solve for x:
√120.67 = √x^2
Since the square root of a number can be positive or negative, you will have two solutions:
x = ± √120.67
Calculating the square root of 120.67 yields approximately:
x ≈ ±10.98
Since the number of widgets cannot be negative (as it represents a physical quantity), the approximate solution is:
x ≈ 10.98
Therefore, when the cost is $544.50, approximately 10.98 widgets are produced.