The equation of a curve is given by y = px2 +qx+r. The line y = x+1 is a tangent to the curve. (i) Showthat(q−1)2 =4p(r−1).
(ii) Given further that the curve has a minimum point at
3 1
− 2 , − 4 , show that
q = 3p and 4r = 9p − 1. Hence, find the values of p, q and r.

Problem situation: caren is making rice and beans. she can spend no more than $10 on ingredients. she buys one bag of rice for $4.99. beans cost $0.74 per pound. how many pounds of beans, x, can she buy? inequality that represents this situation: 10≥4.99+0.74x drag each number to show if it is a solution to both the inequality and the problem situation, to the inequality only, or if it is not a solution.

|p| > 3 {-3, 3} {p|-3 < p < 3} {p|p < -3 or p > 3}

Write a problem to fit this equation 2k + 5 =29