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3 years ago

Write the equation of a line with the slope of -3 and through the point (2,-2).

Mathematics

1 answer:

GarryVolchara [31]3 years ago

8 0

Answer:

y +2 = -3(x -2)

Step-by-step explanation:

The point-slope form of the equation of a line is useful for this:

y -k = m(x -h) . . . for a line of slope m through point (h, k)

y +2 = -3(x -2) . . . . fill in the given values. Note that -(-2) = +2

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What is the best approximation for the input value when f(x)=g(x)?

Lostsunrise [7]

Answer:

$x=0$ and $x=1$ .

Step-by-step explanation:

If we have to different functions like the ones attached, one is a parabolic function and the other is a radical function. To know where $f(x)=g(x)$ , we just have to equalize them and find the solution for that equation:

$x^{2}=\sqrt{x} \\(x^{2} )^{2}=(\sqrt{x} )^{2}\\x^{4}=x\\x^{4}-x=0\\x(x^{3}-1)=0\\$

So, applying the zero product property, we have:

$x=0\\x^{3}-1=0\\x^{3}=1\\x=\sqrt[3]{1}=1$

Therefore, these two solutions mean that there are two points where both functions are equal, that is, when $x=0$ and $x=1$ .

So, the input values are $x=0$ and $x=1$ .

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lina2011 [118]

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