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svet-max [94.6K]
3 years ago
6

How do i solve functions?

Mathematics
1 answer:
Maksim231197 [3]3 years ago
6 0
Most quadratic functions(which is what you have there, to a degree of 2) are solved using factoring and the zero product law. If you can not factor then you have to use the quadratic formula or graph it. However this one can be factored.
It's pretty simple to just factor it by inspection but I use the chart method, if you know decomposition that works as well.
Factoring gives us,
(2x + 1)(x - 3) = 0
Then you set each factor to 0 and solve for x,
2x + 1 = 0
2x =  - 1
x =  \frac{ - 1}{2}
And the second one,
x - 3 = 0
x = 3
The solutions to this equation are
x = -1/2, 3
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D)(x+10)^2+(y+4)^2=5^2=25

Explanation

Step 1

We know that the general equation for a circle is

\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\  \end{gathered}

where

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then, all we need to do is replace

Let

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replace the values

\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ (x-(-10))^2+(y-(-4))^2=5^2 \\ (x+10)^2+(y+4)^2=5^2=25 \end{gathered}

therefore, the answer is

D)(x+10)^2+(y+4)^2=5^2=25

I hope this helps you

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