<table class="table table-bordered table-striped" style="background-color: white;"> <thead class="thead-dark"> <tr> <th>Mathematical Area</th> <th>Formula</th> <th>Description</th> <th>Example</th> </tr> </thead> <tbody> <tr> <td>Calculus</td> <td>\( \int_a^b f(x) \, dx \)</td> <td>Definite integral</td> <td>\( \int_0^1 x^2 \, dx = \frac{1}{3} \)</td> </tr> <tr> <td>Linear Algebra</td> <td>\( A \mathbf{x} = \mathbf{b} \)</td> <td>Matrix equation</td> <td>\( \begin{bmatrix} 2 & -1 \\ 3 & 4 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 1 \\ 7 \end{bmatrix} \)</td> </tr> <tr> <td>Statistics</td> <td>\( \bar{x} = \frac{1}{n} \sum_{i=1}^n x_i \)</td> <td>Mean (average)</td> <td>\( \bar{x} = \frac{1}{5} \sum_{i=1}^5 x_i \)</td> </tr> <tr> <td>Geometry</td> <td>\( A = \pi r^2 \)</td> <td>Area of a circle</td> <td>\( A = \pi \cdot 5^2 = 25\pi \)</td> </tr> </tbody> </table> <b> <p>Lineare Funktionen - 7. Klasse</p></b> <p> a) Bestimmen Sie die Steigung (Anstieg) der linearen Funktion f(x) = §§V0(1,8,1)§§x + §§V2(1,6,1)§§ </p> a) Solve \( ( §§V0(3,15,1)§§ x §§V0(5,15,1)§§)^2 \) <p> §§V0(3,15,1)§§ \( (§§V0(5,15,1)§§)^2 \) §§N1§§ ima neke jabuke i neke kruške. Ukupno ima §§V0(30,50,0.1)§§ voćki. Broj jabuka je za §§V1(1,20,1)§§ manji od broja krušaka. Koliko jabuka i krušaka ima? </p> b) Solve \( (§§V1(1,10,1)§§ \cdot §§V1(2,20,1)§§)^2 \) : \[ ((§§V1(1,10,1)§§ \cdot §§V1(2,20,1)§§)^2) \] c) Solve \( §§V2(1,10,1)§§ + §§V2(5,15,1)§§ \cdot §§V2(2,8,1)§§ \) : \[ (§§V2(1,10,1)§§ + §§V2(5,15,1)§§ \cdot §§V2(2,8,1)§§) \] d) Solve \( (§§V3(3,10,1)§§ \cdot §§V3(2,6,1)§§)^2 \) : \[ ((§§V3(3,10,1)§§ \cdot §§V3(2,6,1)§§)^2) \] e) Solve \( §§V4(1,10,1)§§ + §§V4(2,10,1)§§ \cdot §§V4(3,8,1)§§ \) : \[ (§§V4(1,10,1)§§ + §§V4(2,10,1)§§ \cdot §§V4(3,8,1)§§) \] f) Solve \( §§V5(1,10,1)§§ \cdot §§V5(2,10,1)§§ - §§V5(2,8,1)§§ \) : \[ (§§V5(1,10,1)§§ \cdot §§V5(2,10,1)§§ - §§V5(2,8,1)§§) \] g) Solve \( (§§V6(1,10,1)§§ \cdot §§V6(3,9,1)§§)^2 \) : \[ ((§§V6(1,10,1)§§ \cdot §§V6(3,9,1)§§)^2) \] h) Solve \( §§V7(2,20,1)§§ + §§V7(3,15,1)§§ \cdot §§V7(2,8,1)§§ \) : \[ (§§V7(2,20,1)§§ + §§V7(3,15,1)§§ \cdot §§V7(2,8,1)§§) \] i) Solve \( (§§V8(2,10,1)§§ \cdot §§V8(1,5,1)§§)^2 \) : \[ ((§§V8(2,10,1)§§ \cdot §§V8(1,5,1)§§)^2) \] j) Solve \( §§V9(1,10,1)§§ + §§V9(5,15,1)§§ - §§V9(2,8,1)§§ \) : \[ (§§V9(1,10,1)§§ + §§V9(5,15,1)§§ - §§V9(2,8,1)§§) \]