Please help with these three questions

Step-by-step explanation:

44). Given function is,

      f(x) = 7x² - 3x - 1

      x intercept means value x at f(x) = 0.

      Therefore, for f(x) = 0

       7x² - 3x - 1 = 0

       By quadratic formula,

       x =

          =

          =

       Therefore, x - intercepts are x = ≈ -0.22, 0.65

45). f(x) = x² + 4x + 7

      For x intercepts, f(x) = 0

      x² + 4x + 7 = 0

      By quadratic formula,

      x =

         =

         = (-2 ± i)

      Since, x intercepts are imaginary, there are no x-intercepts.

46). Given formula for the projectile is,

      s = 96t - 16t²

      For s = 96 ft

      96 = 96t - 16t²

      6 = 6t - t²

      0 = -t² + 6t - 6

      t² - 6t + 6 = 0

      By quadratic formula,

      t =

      t =    

      t =

      t = (3 ± √3) ≈ 1.27 seconds, 4.73 seconds

answer: slight chance that it will happen

step-by-step explanation: