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Olegator [25]
3 years ago
10

I don’t know the answer

Mathematics
1 answer:
mash [69]3 years ago
7 0

Answer:

  • 7h hgf eejj b c c the b vddfhhgff

Step-by-step explanation:

jjj

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Find the values of m and b that make the following function differentiable.
dimaraw [331]
Now, bearing in mind that, for a graph, to be "differentiable", means a "smooth transition", not an abrupt edge or a "cusp", the first subfunction of the piece-wise is just a quadratic, the second subfunction is a linear, well, so the linear needs to hit the quadratic "smoothly", not make an abrupt edge, for that, the linear must continue the quadratic from 2 onwards, since 2 is the range edge.

now, what is the piece-wise when x = 2? well, f(2) = x² or (2)² or 4

that means, the linear needs to hit it at that point, to make it so, let's make it the slope of the linear, the same as the quadratic's.

what's the quadratic's slope? well, simple enough

\bf \left. \cfrac{dy}{dx}=2x \right|_{x=2}\implies 4\impliedby \textit{this means }
\begin{array}{llll}
mx+b\\
\uparrow \\
4
\end{array}

so we have y = 4x + b

now, recall, for the quadratic, when x =2, y = 4, so for the linear, when x = 2, y = 4 as well, this means

\bf 4 = 4(2) + b\implies 4=8+b\implies 4-8=b\implies \boxed{-4=b}
\\\\\\
mx+b\implies 4x-4\\\\
-------------------------------\\\\
f(x)=
\begin{cases}
x^2&x\le 2\\
4x-4&x\ \textgreater \ 2
\end{cases}

check the picture below.

4 0
3 years ago
LOOK AT THE PICTURE or click on the file
Vika [28.1K]

Answer and Step-by-step explanation:

The answer is H.

f(x) = \frac{1}{3} (4)^x

When 4 is brought to the power of a number it gets multiplied to the numerator of 1/3. When inputting those numbers for x in this function, the result is what is shown on the table, meaning the function is correct.

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

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Answer:

Do you have the math exercices? I am sorry but I can just help in the subjects concerning math. It is been some time since I studied biology and other high-school subjects.

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3 years ago
Distributive property
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So what is the question?

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3 years ago
A disc has a diameter of 21 cm while a mini disc has a diameter of 14cm. Write the ratio of the mini disc diameter to the disc d
Serjik [45]

Answer:

mini disc diameter:disc diameter

14cm:21cm = 7:10.5 = 3.5:5.25 = 1:1.5

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