Determine the zero(s) of the quadratic function y=−5x2+16x%0D%0A%0D%0A=%0D%0A−%0D%0A5%0D%0A%0D%0A2%0D%0A+%0D%0A16%0D%0A%0D%0A .
To determine the zeros of the quadratic function y = -5x^2 + 16x, we need to find the values of x that make the function equal to zero.
Setting y equal to zero, we have:
0 = -5x^2 + 16x
Now, we can factor out a common factor of x:
0 = x(-5x + 16)
To find the zeros, we set each factor equal to zero:
x = 0
-5x + 16 = 0
Solving the second equation for x:
-5x = -16
Dividing both sides by -5:
x = 16/5
So, the zeros of the quadratic function y = -5x^2 + 16x are x = 0 and x = 16/5.