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Olenka [21]
3 years ago
10

Use the pattern for (a+b)^5 to write the fourth term of (w-4z)^5

Mathematics
1 answer:
Alex Ar [27]3 years ago
8 0
The fourth term of (a+b)^5 is 10a^2b^3.

For a=w, b=-4z, this is
.. 10*(w)^2*(-4z)^3
.. = -640w^2*z^3
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The graph of an absolute value function contains the points (–3, 5), (0, 2) and (3, 5). Which could be the function represented
Alex73 [517]

The absolute value functions that contains the points are:

  • f(x) = |x| + 2
  • f(x) = |-x| + 2

<h3>Which could be the function represented by this graph?</h3>

Here we have the points (-3, 5), (0, 2), and (3, 5). We want to see which ones of the given functions have that points.

To check that, we need to evaluate the functions in the first value of each point and see if the outcome is the second value of the correspondent point.

For example, for the first equation:

  • f(-3) = |-3| + 2 = 5   so it has the point (-3, 5)
  • f(0) = |0| + 2 = 2  so it has the point (0, 2)
  • f(3) = |3| + 2 = 5  so it has the point (3, 5).

The other option that also contains these 3 points is:

f(x) = |-x| + 2

  • f(-3) = |3| + 2 = 5  so it has the point (-3, 5)
  • f(0) = |-0| + 2 = 2  so it has the point (0, 2)
  • f(3) =  |-3| + 2 = 5  so it has the point (3, 5).

And all the other options can be trivially discarded (by evaluating them).

So the two correct options are:

  • f(x) = |x| + 2
  • f(x) = |-x| + 2

If you want to learn more about absolute value functions:

brainly.com/question/3381225

#SPJ1

4 0
2 years ago
Solve.<br><br> −4/3x+1/6&lt;7/9
Korvikt [17]
Let's solve your inequality step-by-step.<span><span><span><span><span>−4</span>3</span>x</span>+<span>16</span></span><<span>7<span>9

</span></span></span>Step 1: Subtract 1/6 from both sides.<span><span><span><span><span><span>−4</span>3</span>x</span>+<span>16</span></span>−<span>16</span></span><<span><span>79</span>−<span>16</span></span></span><span><span><span><span>−4</span>3</span>x</span><<span><span>1118
</span>
</span></span>Step 2: Multiply both sides by 3/(-4).<span><span><span>(<span>3<span>−4</span></span>)</span>*<span>(<span><span><span>−4</span>3</span>x</span>)</span></span><<span><span>(<span>3<span>−4</span></span>)</span>*<span>(<span>1118</span>)</span></span></span><span>x><span><span>−11</span><span>24

</span></span></span>Answer:<span>x><span><span><span>−11</span>24</span>
</span></span>
4 0
3 years ago
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Help?- Plot and connect the points A (-4, 4), B (-1, 1), C (-6, 1), and find the length of BC.
horsena [70]
the answer could be D 5 units
because the distance between B and C is 5 by looking at the x-axis
5 0
3 years ago
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Hello I need help on this math question​
Thepotemich [5.8K]
I think it is either a b or c
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3 years ago
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What is the correct definition of the third quartile of a data set?
algol [13]
We know that 

The third quartile (also called the upper quartile) has 75 percent of the data below it and the top 25 percent of the data above it. <span>The third quartile is the same as the </span>median<span> of the part of the data which is greater than the median. 
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therefore

the answer is the option
<span>C.) The third quartile is the median of the upper half of data in the data set.</span>
4 0
3 years ago
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