Terrance kicks a soccer ball at his game. Solve the given equation to find the times, t, when the ball is kicked and when it lands back on the ground, in seconds.

-16t^2 + 40t =0

how many seconds is terrance’s ball in the air?
A. 1 second
B. 16 seconds
C. 4 seconds
D. 2.5 seconds

Answer:

2.5 seconds for plato

Step-by-step explanation:

2.5 seconds is Terrance’s ball in the air

We define a quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic is y = [tex]ax^{2} +bx+c[/tex], where a, b, and c are numbers and a cannot be 0.

Example of quadratic equation is y = [tex]x^2 + 3x + 1.[/tex]

Given quadratic equation

[tex]-16t^{2} +40t =0[/tex]

⇒ [tex]16t^{2} -40t=0[/tex]

⇒ [tex]8(2t^{2}-5t)=0[/tex]

⇒ [tex]2t^{2}-5t=0[/tex]

⇒ [tex]t(2t-5)=0[/tex]

⇒ [tex]t_{1} =0[/tex] and [tex]t_{2}=\frac{5}{2} =2.5[/tex]

T = [tex]t_{2}-t_{1} =2.5-0 = 2.5[/tex]

2.5 seconds is Terrance’s ball in the air

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She strolled around the new lake, occasionally gazing back at her footprints in the soggy earth. The chickens in the yard were soggy, too, their feathers parted and showing the yellow skin underneath. Still, they scratched and pecked at the ground and left their own shallow prints in the wet earth.
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​ ​Her gift was a mystery, as neither of her parents could draw. Their talent was to bring their faces together, like lovebirds, and warble Mexican songs, although most of the time they were working. Her father was employed by a dairy and her mother, from windy March to scorching July, worked in the fields—she thinned beets and cotton and was sometimes on a women’s crew that harvested cantaloupes. There were also two seasons when she packed peaches.
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