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3 years ago

Find the average rate of change for the given function on the given interval.

Mathematics

2 answers:

adoni [48]3 years ago

7 0

The average rate of change is (f(3)-f(0))/3=(7-0)/3=7/3.

shutvik [7]3 years ago

3 0

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)=2^x-1 \qquad 
\begin{cases}
x_1=0\\
x_2=3
\end{cases}\implies \cfrac{f(3)-f(0)}{3-0}
\\\\\\
\cfrac{[2^3-1]~~-~~[2^0-1]}{3}\implies \cfrac{[8-1]~~-~~[1-1]}{3}
\\\\\\
\cfrac{7-0}{3}\implies \cfrac{7}{3}$

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Maslowich

Work:
x^2 + 4x - 4 = 8
x^2 +4x -12 = 0
(x + 6) (x - 2) = 0
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Answer: first option
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4 years ago

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larisa86 [58]

Answer:

m= 12.52

Step-by-step explanation:

27.92-15.40=12.52

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2 years ago

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Is it a tangent? Yes or no and why??<br><br> Help ASAP

bogdanovich [222]

Answer:

yes because radius makes 90 degree with it. using Pythagoras theorem, it is seen that 5^2 = 3^2 + 4^2

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3 years ago

Please help i will mark brainliest

Evgen [1.6K]

Answer:

2. $\left[\begin{array}{ccc}1&4\\0&3\\\end{array}\right]$

3. $\left[\begin{array}{ccc}-3&21&60\\-15&9&-45\\\end{array}\right]$

4. $\left[\begin{array}{ccc}6&-14\\-2&-6\\\end{array}\right]$

Step-by-step explanation:

2. This matrix is easy, as it just requires addition.

$\left[\begin{array}{ccc}1&4\\0&3\\\end{array}\right]$ + $\left[\begin{array}{ccc}0&0\\0&0\\\end{array}\right]$ = $\left[\begin{array}{ccc}1&4\\0&3\\\end{array}\right]$

3. This matrix requires for the matrices to be multiplied first, then added.

$\left[\begin{array}{ccc}9&-15&18\\-27&15&-9\\\end{array}\right]$ + $\left[\begin{array}{ccc}-12&36&42 \\12& -6 & -36 \\\end{array}\right]$ = $\left[\begin{array}{ccc}-3&21&60\\-15&9&-45\\\end{array}\right]$

4. Here we can add the last 2 matrices to find x.

$\left[\begin{array}{ccc}2&-8\\-4&2\\\end{array}\right]$ + $\left[\begin{array}{ccc}4&-6\\2&-8 \\\end{array}\right]$ = $\left[\begin{array}{ccc}6&-14\\-2&-6\\\end{array}\right]$

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3 years ago

What is the constant difference of the above sequence 6;10;14

ludmilkaskok [199]

Answer: 4

Step-by-step explanation: 10-6=4

14-10=4

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3 years ago