Question

ДАЮ 40 БАЛЛОВ , АЛГЕБРА

Answer 1

$f(x)=x^2+3x-1\; \; ,\\\\l_1:\; y=7x\; \; \to \; \; k_1=7\; \; ,\; \; \;\; l_1\parallel l_2\; \; \to \; \; k_1=k_2\\\\f'(x)=2x+3\; \; ,\; \; k_2=f'(x_0)=2x_0+3=7\; \; \to\; \; x_0=2\\\\f(x_0)=f(2)=2^2+3\cdot 2-1=4+6-1=9\\\\y=f(x_0)+f'(x_0)(x-x_0)\\\\l_2:\; \; y=9+7(x-2)\; \; \; \Rightarrow \qquad \boxed {\; y=7x-5\; }$