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What are the zeros of the function? f(t)=t2−13t 36 Enter your answers in the boxes. And.

Sagot :

theleangreenbean

Answer:

t = 4, 9

Step-by-step explanation:

Hi there!

f(t) = t² - 13t + 36

Let f(t) = 0:

0 = t² - 13t + 36

Factor the equation:

0 = t² - 4t - 9t + 36

0 = t(t - 4) - 9(t - 4)

0 = (t - 9)(t - 4)

The zero-product property states that if the product of two numbers is zero, then one of the numbers is equal to zero. Therefore, either (t - 9) or (t - 4) is equal to zero:

t - 9 = 0

t = 9

t - 4 = 0

t = 4

Therefore, the zeros of the function are 4 and 9.

I hope this helps!

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