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charle [14.2K]
4 years ago
12

Write

ula1" title=" \frac{x(x+1)^2(x-5)}{x(x+2)(x-5)^3} " alt=" \frac{x(x+1)^2(x-5)}{x(x+2)(x-5)^3} " align="absmiddle" class="latex-formula"> in simplest forms. Show your work.
Mathematics
1 answer:
Marizza181 [45]4 years ago
5 0

\bf \cfrac{x(x+1)^2(x-5)}{x(x+2)(x-5)^3}\implies \cfrac{(x+1)^2}{(x+2)(x-5)^2}


all we can really cancel is one of the (x-5) and the "x", is all.

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100 yards minus 41 3/4 which is 58 1/4 divided by 2 which is 29 1/2
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4 years ago
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The population of mexico has been increasing at an annual rate of 1.7%. If the population of mexico was 104900000 in the year 20
kenny6666 [7]

Answer: 137,375,958

Step-by-step explanation:

Exponential growth equation:

y=A(1+r)^x , where A = initial population , x= time , r =rate of growth.

As per given: r = 1.7% = 0.017

Population of Mexico in 2003 : A= 104900000

In 2019 , x = 2019-2003 = 16

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3 0
3 years ago
The number of blueberries in a blueberry muffin baked by EarthHarvest Bakeries can range from 20 to 40 blueberries. (a) Use the
taurus [48]

Answer:

a) Standard deviation: 3 bluberries

b) We assume, to apply this rule, that the distribution of blueberries per muffin has a bell-curve distribution, approximately normal.

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We know that the number of blueberries in a blueberry muffin baked by EarthHarvest Bakeries can range from 20 to 40 blueberries.

a) If we use the Empirical Rule 68-95-99.7, specifically the last term, we have that:

- 99.7% of the data will fall between 3 standard deviations from the mean.

Then, if we consider the range of 20 to 40 containing 99.7%, we can calculate the standard deviation as:

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8 0
3 years ago
A survey asked two age groups which summer sport they most preferred. The results are shown in the table below.
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Answer:

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Relative frequency is basically how many times this happened

4 0
3 years ago
Square ABCD is located on a coordinate plane. The coordinates for three of the vertices are listed below. ~A(2,7) ~C(8,1) ~D(2,1
Vladimir79 [104]

Answer:

B' (16, 14)

Step-by-step explanation:

<em>Whenever we have a dilation with a scale factor b, we get the new point as:</em>

<em>Let original point be (x,y), then the dilation would make it (bx, by).</em>

<em />

There is a diagonal that goes through AC and another through BD. The midpoint of both the diagonal is same. Midpoint formula is:

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

<u>Midpoint of AC:</u>

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\=(\frac{2+8}{2},\frac{7+1}{2})\\=(5,4)

Now let vertex B have coordinates (x,y). <u>Midpoint of BD:</u>

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\=(\frac{x+2}{2},\frac{y+1}{2})

<em>Equate this to the midpoint of AC:</em>

<em>(x+2)/2=5</em>

<em>x+2 = 10</em>

<em>x = 8</em>

<em />

<em>and</em>

(y+1)/2=4

y+1=8

y = 7

Thus, B(8,7)

<em>recalling dilation of scale factor 2 rule we said at the beginning, B' would be twice of each coordinate. Hence B' = (16,14)</em>

7 0
3 years ago
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