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 .

Answer 1

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.