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Find all values of t such that 8t^2 \le 3-10t

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 Oct 26, 2014

Best Answer 

 #5
avatar+118724 
+5

Find all values of t such that 8t^2 \le 3-10t

 

$$\\8t^2+10t-3\le0\\\\
graph\;\;y=8t^2+10t-3\\\\
$and see where $y\le0$$

 

I am going to use a graphing program but you can use the quadratic formula to find the roots and then it is a concave up parabola. (because the number in fron ot x^2 is positive)

Here is the graph

https://www.desmos.com/calculator/hm59laowni

From the graph it can be seen that the answer is   [-1.5,0.25]

 Oct 27, 2014
 #1
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Interesting, I also need help with these four questions counting this one. Below this one, and the two above.

 Oct 26, 2014
 #2
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Cphil;, please help me on this one too and the one above.

 Oct 26, 2014
 #3
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And the one two above this one.

 Oct 26, 2014
 #4
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Please somebody help me on this.

 Oct 26, 2014
 #5
avatar+118724 
+5
Best Answer

Find all values of t such that 8t^2 \le 3-10t

 

$$\\8t^2+10t-3\le0\\\\
graph\;\;y=8t^2+10t-3\\\\
$and see where $y\le0$$

 

I am going to use a graphing program but you can use the quadratic formula to find the roots and then it is a concave up parabola. (because the number in fron ot x^2 is positive)

Here is the graph

https://www.desmos.com/calculator/hm59laowni

From the graph it can be seen that the answer is   [-1.5,0.25]

Melody Oct 27, 2014

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