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Whitepunk [10]
3 years ago
6

I need answer for this quick please

Mathematics
1 answer:
Anna007 [38]3 years ago
5 0

Answer:

- 6

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ - 1, 4 ] , then

f(b) = f(4) = 4³ - 6(4)² - 4 = 64 - 96 - 4 = - 36

f(a) = f(- 1) = (- 1)³ - 6(- 1)² - (- 1) = - 1 - 6 + 1 = - 6 , then

average rate of change = \frac{-36-(-6)}{4-(-1)} = \frac{-36+6}{4+1} = \frac{-30}{5} = - 6

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Answer:

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Step-by-step explanation:

When we are given two points passing through a line, we can find the equation of the line by using two - point form.

Two - point form:    $ \frac{\textbf{y - y}_\textbf{1}}{\textbf{y}_{\textbf{2}} \textbf{-} \textbf{y}_{\textbf{1}}} = \frac{{\textbf{x - x}_\textbf{1}}}{\textbf{x}_{\textbf{2}} \textbf{-} \textbf{x}_{\textbf{1}}    }$

where $ (x_1, y_1) \hspace{3mm} \& \hspace{3mm} (x_2, y_2) $ are the points passing through the line.

Here, let us take two points (can be any two):

$(x _1, y_1) = (1, 5) $ and

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Therefore, we have:

$ \frac{y - 5}{9 - 5} = \frac{x - 1}{5 - 1} $

$ \iff \frac{y - 5}{4} = \frac{x - 1}{4} $

$ \iff y - 5 = x - 1 $

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$ \implies y = \textbf{x + 4} $ which is the required answer.

4 0
3 years ago
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Step-by-step explanation:

5 0
3 years ago
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defon

Answer:

2√30

Step-by-step explanation:

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3 years ago
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ddd [48]

Answer:

Hello,

Step-by-step explanation:

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3 0
2 years ago
Read 2 more answers
PLEASE HELP 20 POINTS<br><br> What is the equation of this line?
mixas84 [53]

Answer: A) y=-1/2x+1

Step-by-step explanation:

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