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What real value of t produces the smallest value of the quadratic t^2 -9t - 36?

QuestionsBug Jun 27, 2020

Guest · Answer 1 · 2020-06-27T12:50:26

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what is that^ does it mean equal is the queston t=2-9t -36

Guest Jun 27, 2020

+118677

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This is a good question. the hat ^ is a common symbol so it is really good that you asked for its meaning.

The hat ^ means 'to the power of'.

so

t^2 means \(t^2 \)

7^2 means \(7^2 = 7*7 = 49\)

Melody Jun 27, 2020

Melody · Answer 2 · 2020-06-27T12:57:03

What real value of t produces the smallest value of the quadratic t^2 -9t - 36?

Let y=t^2 -9t - 36

This is a concave up parabola. The smallest value of y is the vertex.

Do you know how to find the axis of symmetry

it is just x or in this case t= -b/2a (from the quadratic formula)

The smallest value of y will be ON the axis of symmetry.