Uppgift 9 (C-nivå). Du ska bygga en rektangulär hage av ett staket till dina två hästar. Staketets längd är 120 meter. Längden av hagens ena sida är x. Teckna hagens area A som en funktion av x.

3.2.1 \( \quad 3(y+2)-x(y+2) \) 3.2.2 \( \quad 4 x^{3}-4 x \) Find the value of p if \( (x-4) \) is a factor of \( x^{2}-p x+20 \) Simplify: \( \frac{x^{2}+x y-2 y^{2}}{x^{2}-y^{2}} \)

A \( 6600 / 500 \mathrm{~V} \) single-phase transformer supplies 200 A to a load operating at a power factor of 0,8 lagging. The transformer's details are as follows: Primary resistance \( =3 \Omega \) Secondary resistance \( =0,01 \Omega \) Primary leakage reactance \( =7 \Omega \) Secondary leakage reactance \( =0,4 \Omega \) Calculate: 3.1 The equivalent impedance referred to the primary.

\( a)||<5>\sqrt {9<6

A scientist claims that \( 7 \% \) of viruses are airborne. If the scientist is accurate, what is the probability that the proportion of airborne viruses in a sample of 679 viruses would be greater than \( 8 \% \) ? Round your answer four decimal places.

Solve the following system of equations. \[ \begin{array}{r}x-y+z=-8 \\ 5 x+2 y-z=4 \\ -2 x+5 y-z=42\end{array} \] Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. There is one solution. The solution is ( (Type integers or simplified fractions.) B. There are infinitely many solutions. The solution set is \( \{(x, y, z) \mid-2 x+5 y-z=42\} \). The solution set is \( \varnothing \).