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Yuri [45]
3 years ago
13

X(x+2) + y (x + 2) - 5(x + 2) factor

Mathematics
2 answers:
Tanzania [10]3 years ago
8 0
First of expand the equation

X^2+2x+yx+2y-5x-10

X^2+yx-3x+2y-10

Final answer=

X(x+y-3)+2(y-5)
Andrej [43]3 years ago
7 0

Answer:

x² + xy - 3x + 2y - 10

Step-by-step explanation:

x(x + 2) + y(x + 2) - 5(x + 2)

x² + 2x + y(x + 2) - 5(x + 2)

x² + 2x + xy + 2y - 5(x + 2)

x² + 2x + xy + 2y - 5x - 10

x² - 3x + xy + 2y - 10

x² + xy - 3x + 2y - 10

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In a bowl of marbles, there are 10 red ones, 6 blue ones, and green onesa marble is chosen at random from the bowl, find P(red o
Zolol [24]

Answer:

It is most-likely a red marble

Step-by-step explanation:

I say it is a red marble because as you said, there are 10 red marbles and 6 blue ones and since there are 4 more red marbles, there is a higher perchentage of it being a red marble . (I hope i answered your question)

6 0
3 years ago
Use the Fundamental Theorem of Calculus to find the area of the region between the graph of the function x5 + 8x4 + 2x2 + 5x + 1
belka [17]

Answer:

The area of the region between the graph of the given function and the x-axis = 25,351 units²

Step-by-step explanation:

Given  x⁵ + 8 x⁴ + 2 x² + 5 x + 15

If 'f' is a continuous on [a ,b] then the function

            F(x) = \int\limits^a_b {f(x)} \, dx

By using integration formula

\int{x^n} \, dx = \frac{x^{n+1} }{n+1} +c

Given  x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]

 \int\limits^6_^-6} (x^{5}  + 8 x^{4}  + 2 x^{2}  + 5 x + 15) )dx

<em>On integration , we get</em>

=   (\frac{x^{6} }{6} + \frac{8 x^{5} }{5} + 2 \frac{x^{3} }{3} +\frac{5 x^{2} }{2} + 15 x)^{6} _{-6}

F(x) = \int\limits^a_b {f(x)} \, dx = F(b) -F(a)

= (\frac{6^{6} }{6} + \frac{8 6^{5} }{5} + 2 \frac{6^{3} }{3} +\frac{5 6^{2} }{2} + 15X 6) - ((\frac{(-6)^{6} }{6} + \frac{8 (-6)^{5} }{5} + 2 \frac{(-6)^{3} }{3} +\frac{5 (-6)^{2} }{2} + 15 (-6))

After simplification and cancellation we get

 =  \frac{2 X 8 X (6)^{5} }{5} + \frac{2 X 2 X (6)^3}{3} + 2 X 15 X 6

on calculation , we get

= \frac{124,416}{5} + \frac{864}{3} + 180

On L.C.M  15

= \frac{124,416 X 3 + 864 X 5 + 180 X 15}{15}

= 25 351.2 units²

<u><em>Conclusion</em></u>:-

<em>The area of the region between the graph of the given function and the x-axis = 25,351 units²</em>

6 0
3 years ago
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Elina [12.6K]

Answer: -9 units

Step-by-step explanation:

-9 x 4 = -36

so therefore -36 divided by 4 = -9

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4 years ago
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