You're working at a theater where you are evaluating attendance at several events. From the first event
1 answer:
Answer:
The percent decrease is 8 percentage.
Step-by-step explanation:
Given:
Attendance dropped from 250 to 230
To Find:
Percent decrease to the nearest percent.
Solution:
Step 1: Calculate the change (subtract old value from the new value)
The old attendance value = 250
The new attendance value = 230
the change is = 250-230 = 20
Step 2: Divide that change by the old value (you will get a decimal number)
Dividing the change by the old attendance value
=>
=> 0.08
Step 3:Convert that to a percentage (by multiplying by 100 and adding a "%" sign)
=>
=> 8%
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The given function are
r(x) = 2 - x² and w(x) = x - 2
<span>(w*r)(x) can be obtained by multiplying the both function together
</span>
So, <span>(w*r)(x) = w(x) * r(x) = (x-2)*(2-x²)</span>
<span>(w*r)(x) = x (2-x²) - 2(2-x²)</span>
= 2x - x³ - 4 + 2x²
∴ <span>(w*r)(x) = -x³ + 2x² + 2x - 4
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<span>It is a polynomial function with a domain equal to R
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The range of <span>(w*r)(x) can be obtained by graphing the function
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To graph (w*r)(x), we need to make a table between x and (w*r)(x)
See the attached figure which represents the table and the graph of <span>(w*r)(x)
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As shown in the graph the range of <span>(w*r)(x) is (-∞,∞)
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r(x) = 2 - x² and w(x) = x - 2
<span>(w*r)(x) can be obtained by multiplying the both function together
</span>
So, <span>(w*r)(x) = w(x) * r(x) = (x-2)*(2-x²)</span>
<span>(w*r)(x) = x (2-x²) - 2(2-x²)</span>
= 2x - x³ - 4 + 2x²
∴ <span>(w*r)(x) = -x³ + 2x² + 2x - 4
</span>
<span>It is a polynomial function with a domain equal to R
</span>
The range of <span>(w*r)(x) can be obtained by graphing the function
</span>
To graph (w*r)(x), we need to make a table between x and (w*r)(x)
See the attached figure which represents the table and the graph of <span>(w*r)(x)
</span>
As shown in the graph the range of <span>(w*r)(x) is (-∞,∞)
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Answer:
The dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.
Step-by-step explanation:
Given,
A 1 meter steel rod is bent into a rectangle.
That means the perimeter of the rectangle is 1 meter.
So, Perimeter =
Let the width of the rectangle be 'x'.
Now According to question, length exceeds quadruple its width by 5 cm.
Hence framing the above sentence in equation form, we get;
Now we use the formula of perimeter of rectangle,
On substituting the values, we get;
Now, we substitute the value of x to get the value of length;
Thus, Width=9 cm Length=41 cm
Hence the dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.