Please help to solve the problems and please provide the explanation too! Thank you

9. Which of the following intersects the line y = x? a) y= *-1 b) -x+ y= 1 c)y= -x2 + 10x - 30 d) y =- x2+1 e) NOTA 10. The force needed to extend a spring by some distance is proportional to that distance. If a force of 10 joules is needed to extend a spring by 2 m, then how much force (in joules) is needed to extend the spring by 3 m? a) 5 b ) 2 c) 10 d) 15 e) NOTA 11. Which of the following lines is perpendicular to the line 3y - 3 = 5(x + 10)? a)y= -2x+ 100 b) 3y - 5 = 5(x - 10) c) y = 5x d)y = -Ex - 10 e) NOTA 12. How many real roots does the function y = In(x9) - - have? a) 0 b) 1 c ) 2 d) 3 e) NOTA 13. Find the sum of the values of k for which the following system of equations has no solutions: kx + 2y - z = 1 x + 3y +kz = 5 -2x - y + 5z=0 a) -19 b) -11 c) 0 d) 3 e) NOTA 14. The graph of f(x) = x4 - 6x3 + 20x - 4 is shifted 2 units to the right to make the graph of g(x). What is the sum of the roots of g(x)? a) 6 b) 8 c) 12 d) 14 e) NOTA 15. Given the polynomial P(x) = (1 + x + x2) 100 = ao + aix + azx2 + ... + azoox200, compute the value of ao + a2 + a4 + ... + azoo. a) 1 b) 3100-1 C) 3100 3100+1 2 2 e) NOTA