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o-na [289]
3 years ago
15

Solve the equation algebraically. x^2-7x-1/7=0

Mathematics
1 answer:
valentina_108 [34]3 years ago
7 0

Answer:

x1=\frac{49+\sqrt{2429}}{14} \\x2=\frac{49-\sqrt{2429}}{14} \\

Step-by-step explanation:

x^2-7x-\frac{1}{7} =0\\7x^2-49x-1=0\\D=b^2-4ac=(-49)^2-4*7*(-1)=2429\\x1=\frac{49+\sqrt{2429} }{14} \\x2=\frac{49-\sqrt{2429} }{14} \\

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Answer:

The total distance covered is 15.6 miles.

Step-by-step explanation:

One day you warm up for 15 minutes at a pace of 0.1 miles per 25 seconds.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. If the relationship between the magnitudes is direct, like in this case, the direct rule of three can be applied as follow:

a ⇒ b

c ⇒ x

Then x=\frac{c*b}{a}

First, the simple rule of three can be applied in the following way: if 1 minute equals 60 seconds, 15 minutes equals how many seconds?

seconds=\frac{15 minutes*60 seconds}{1 minute}

seconds= 900

So now you can apply the following rule of three: if in 25 seconds you travel 0.1 miles, in 900 seconds how many miles do you travel?

distance=\frac{900 seconds*0.1 miles }{25 seconds}

distance= 3.6 miles

If you then ride hard for 12 miles, the total distance traveled will be the sum of both:

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<u><em>The total distance covered is 15.6 miles.</em></u>

6 0
3 years ago
A number a decreased by 7 is 2.
umka21 [38]

Answer:

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Step-by-step explanation:

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Hope this helps!

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3 years ago
Read 2 more answers
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gizmo_the_mogwai [7]
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h(-2) = 0
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