Determine the zero(s) of the quadratic function y=−5x2+16x
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(1 point)
Responses
(0,0) (3.2,0)
(0,0) (3.2,0)
(0,5) (0,16)
(0,5) (0,16)
(-3.2,0)
(-3.2,0)
There are no zeros.
To find the zero(s) of the quadratic function y = -5x^2 + 16x, we need to solve the equation -5x^2 + 16x = 0.
Factoring out x, we get x(-5x + 16) = 0.
Setting each factor equal to zero, we have two solutions:
x = 0 and -5x + 16 = 0.
Solving -5x + 16 = 0 for x, we get -5x = -16, which simplifies to x = 16/5 or 3.2.
Therefore, the zeros of the quadratic function are x = 0 and x = 3.2.
The correct answer is:
(0,0) (3.2,0)