The set of rental car rates making it more economical for Jamal than employing taxi services is outlined as A = {x | 0 ≤ x < 26} [where x represents dollars]. The step-by-step breakdown is as follows: Let the rental cost be $x per day. With Jamal's trip extending over 4 days, factoring in $24 for gas, and estimating taxi costs at around $128, an inequality emerges: 128 > 24 + 4x. Thus simplifying leads to 4x < 104 and consequently x < 26.
The inquiry requests that I calculate and formulate the parametric representation for the specified surface and the plane that includes the vector i - j and j - k, originating from the origin. Based on my development of this, the equation for the surface in parametric form can be expressed as S:(U,V,-U-V). I hope this information is useful.
The value of x is 12. This can be found using the Pythagorean theorem with c equal to 13 and b equal to 5, where a equals x.