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Leokris [45]
3 years ago
13

Find the average rate of change of f(x) = -x² + 5x+2 from x=3 to x=6.

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0

9514 1404 393

Answer:

  -4

Step-by-step explanation:

The points at the ends of the interval are ...

  (3, f(3)) = (3, 8)

  (6, f(6)) = (6, -4)

The slope is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -8)/(6 -3) = -12/3 = -4

The average rate of change is -4.

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HELPPPP what do I do exactly ?
MAXImum [283]

Answer:


Step-by-step explanation:

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Continue making a table of values to plot.  The first row has x=0, y=0; this reflects that the sqrt of 0 is 0.

Fill the first (x-) column with perfect squares and the second (y-) column with the square roots of these perfect squares:

x   y

0   0

1    1

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and so on.

Now plot the following on the graph:  (1,1), (4,2), (9,3), ....  

Starting at (0,0) and moving to the right (indicating increases in x), plot these  points.  (You'll soon run out of room.)  Draw a smooth curve from (0,0) to connect these points.  The result is a graph of the square root function.

The domain of this function is "the set of all real numbers ≥0" and the range is the same:  "the set of all real numbers ≥0"

4 0
3 years ago
Read 2 more answers
Rewrite, using the distributive<br> property.<br> 5(2x – 3y) = [?]* - [ ]y
olchik [2.2K]

Answer:

10x-15y

Step-by-step explanation:

So, when they say use the distrubutive property, they basically mean turning this:

a(b+c)

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ab+ac

So in this case, it would be:

5(2x-3y)

And we will turn it into:

10x-15y

ANother way to think about it is we are multiplying 2x by 5, and -3y by 5. So:

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=

10x

And

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Then we can combine these two:

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Hope this helps!

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3 years ago
Q # 11 please help to resolve
Fofino [41]
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The probability that Kyle will choose an odd number is 5/10 = 1/2
Multiply the two probabilities to get the probability of them choosing odd numbers.
   1/2 * 1/2 = 1/4
3 0
3 years ago
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Answer:

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