If sx equals 7 and tx equals 4x^2 + 3, what expression is equivalent to tsx?

To find an expression equivalent to tsx, we will break down the terms step by step using the given values for sx and tx.

We know:

  • sx = 7
  • tx = 4x2 + 3

We want to calculate tsx. We can express this as:

tsx = t(sx) = t * sx

Substituting the value of sx we have:

tsx = t(7)

Now, to find t, we can use the expression for tx. Rearranging gives:

t = (tx – 3) / 4x2

Next, we substitute t back into our tsx equation. Thus, we can rewrite tsx as:

tsx = ((tx – 3) / 4x2) * sx

Since we know sx = 7, we get:

tsx = ((4x2 + 3 – 3) / 4x2) * 7

Which simplifies to:

tsx = (4x2 / 4x2) * 7

Finally, simplifying further:

tsx = 7

So the expression equivalent to tsx is simply 7.

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