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

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have