Final answer:
The zeros of the function shown in the graph are approximately -3.59 and 3.59.
Step-by-step explanation:
The zeros of a function are the values of the independent variable that make the function equal to zero. To find the zeros of a quadratic function, we set the function equal to zero and solve for the variable. In this case, the equation is a quadratic equation of the form at² + bt + c = 0. The constants are a = 4.90, b = 14.3, and c = -20.0.
Using the quadratic formula, we have:
x = (-b ± √(b² - 4ac)) / 2a
Plugging in the values, we get:
x = (-14.3 ± √(14.3² - 4(4.90)(-20.0))) / 2(4.90)
Simplifying the equation and solving for x, we get two solutions:
x ≈ -3.59 and x ≈ 3.59
Therefore, the zeros of the function shown in the graph are approximately -3.59 and 3.59.
Learn more about Finding Zeros of Quadratic Functions