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Vanyuwa [196]
3 years ago
14

Jake's time for the 100 meter race was 11.46. Dan's time was faster. Which could be Dan's time?

Mathematics
1 answer:
MrRissso [65]3 years ago
3 0
Anything smaller than 11.46. Decimal and whole number wise.

This is because it says Dan’s time was faster, meaning he took less time then Jake, thus making it so the time has to be smaller than 11.46.

Hope this helps!
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What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0
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Answer:

x=\frac{-7-\sqrt{5}}{2} or x=\frac{-7+ \sqrt{5}}{2}

Step-by-step explanation:

The given equation is

(2x+3)^2+8(2x+3)+11=0

Let us treat this as a quadratic equation in (2x+3).

where a=1,b=8,c=11

The solution is given by the quadratic formula;

(2x+3)=\frac{-b\pm \sqrt{b^2-4ac} }{2a}

We substitute these values into the formula to obtain;

(2x+3)=\frac{-8\pm \sqrt{8^2-4(1)(11)} }{2(1)}

(2x+3)=\frac{-8\pm \sqrt{64-44} }{2}

(2x+3)=\frac{-8\pm \sqrt{20} }{2}

(2x+3)=\frac{-8\pm2\sqrt{5} }{2}

(2x+3)=-4\pm \sqrt{5}

(2x+3)=-4-\sqrt{5} or (2x+3)=-4+ \sqrt{5}

2x=-3-4-\sqrt{5} or 2x=-3-4+ \sqrt{5}

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x=\frac{-7-\sqrt{5}}{2} or x=\frac{-7+ \sqrt{5}}{2}

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