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Maurinko [17]
3 years ago
15

What is the solution to x + 7 = 23?

Mathematics
1 answer:
Aloiza [94]3 years ago
5 0

Answer:

x=16

Step-by-step explanation:

x+7=23

23-7=x

x=16

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Find the values of m and b that make the following function differentiable.
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f(x)=\begin{cases}x^2&\text{for }x\le2\\mx+b&\text{for }x>2\end{cases}

In order to be differentiable everywhere, f must first be continuous everywhere, which means the limits from either side as x\to2 must be the same and equal to f(2). By definition, f(2)=2^2=4, and

\displaystyle\lim_{x\to2^-}f(x)=\lim_{x\to2}x^2=4

\displaystyle\lim_{x\to2^+}f(x)=\lim_{x\to2}(mx+b)=2m+b

so we need to have 4m+b=4.

For f to be differentiable at x=2, the derivative needs to be continuous at x=2, i.e.

\displaystyle\lim_{x\to2^-}f'(x)=\lim_{x\to2^+}f'(x)

We then need to have

\displaystyle\lim_{x\to2}2x=\lim_{x\to2}m\implies\boxed{m=4}

Then

2m+b=4\implies\boxed{b=-4}

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IceJOKER [234]

Answer:

1000

Step-by-step explanation:

The 8 in the tens place is worth 80

The 8 in the hundredths place is worth 0.08

80 ÷ 0.08 = 1000

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Graph a line that is perpendicular to the given line. Determine the slope of the given line and the one you graphed in simplest
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What is the the given line?

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Answer:

H. 2

Step-by-step explanation:

√(1 − cos² x) / sin x + √(1 − sin² x) / cos x

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