The number of days, d, it takes for a construction crew to repave a certain road varies inversely as the number of workers, w, that work on the project.

So my equation is d = k/w

If w = 16, how do I find d?

d = k/16

Also, why is Y = 2x^2 + 3√x not a quadratic equation? It's highest power of x is 2.

Thank you.

Yes.

And it's because square root of X can be a negative number which would make it an imaginary number.

Z, thanks, however, in my first question, how do I find d in that equation?

Y = 2x^2 + 3?x is NOT a function, since a quadratic must have the form

y = ax^2 + bx + c
that is, the exponents of the x term can only be 2 or 1
the term ?x is x^(1/2)

Furthermore, the graph of a quadratic function is a parabola, the graph of Y = 2x^2 + 3?x
looks like this, not a parabola

http://www.wolframalpha.com/input/?i=plot+Y+%3D+2x%5E2+%2B+3%E2%88%9Ax

as to your first question, you need extra information to find k, and after that you can find d

Is the number of worker the only variables they give you?

To find the value of d when w = 16 in the given equation d = k/w, you need to substitute the value of w into the equation and solve for d.

Given that w = 16, substitute it into the equation:
d = k/16

To solve for d, you need to know the value of the constant k. If the value of k is provided, you can substitute it into the equation to find the value of d. However, if k is not given, you cannot determine the value of d without additional information.

Regarding the second question, the equation Y = 2x^2 + 3√x is not a quadratic equation despite having a term with x^2.

A quadratic equation is characterized by having the highest power of the variable as 2, and it typically includes only terms involving x^2, x, and constant terms.

In the given equation Y = 2x^2 + 3√x, the term 3√x involves a square root. This makes the equation a square root equation, not a quadratic equation. The presence of the square root term changes the nature of the equation and different methods are used to solve it compared to quadratic equations.

So, in summary, the equation Y = 2x^2 + 3√x is not considered a quadratic equation because it includes a term involving the square root of x.