2 years ago

Question 4 of 10

Mathematics

2 answers:

lyudmila [28]2 years ago

8 0

Answer: The answer is 0.58.

why? because its the only number there and you are not multiplying it with another number. nor adding.

Step-by-step explanation: Took on AP3X

TiliK225 [7]2 years ago

6 0

Answer:

A- 0.68

Step-by-step explanation:

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F(t)=t^2+19t+60<br> What are the zeros of the function and what is the vertex of the parabola?

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Step-by-step explanation:

Given

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$t^2+19t+60=0\\\\\Rightarrow t=\dfrac{-19\pm\sqrt{19^2-4\times 1\times 60}}{2\times 1}\\\\\Rightarrow t=\dfrac{-19\pm \sqrt{121}}{2}\\\\\Rightarrow t=\dfrac{-19\pm 11}{2}\\\\\Rightarrow t=-4,-15$

Using completing the square method

$y=t^2+2\times \dfrac{19}{2}t+\dfrac{19^2}{2^2}-\dfrac{19^2}{2^2}+60\\\\y=\left(t+\dfrac{19}{2}\right)^2+60-\dfrac{361}{4}\\\\y=\left(t+\dfrac{19}{2}\right)^2-\dfrac{121}{4}\\\\y+\dfrac{121}{4}=\left(t+\dfrac{19}{2}\right)^2\\\\\left(y-(-\dfrac{121}{4}\right)=\left(t-(-\dfrac{19}{2})\right)^2\\\\\text{The vertex is }\left(-\dfrac{19}{2},-\dfrac{121}{4}\right)$

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