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Marina86 [1]
3 years ago
12

Factor x^4 + x y^3 + x^3 + y^3 completely. Show your work.

Mathematics
1 answer:
andrey2020 [161]3 years ago
5 0
\bf x^4+xy^3+x^3+y^3\impliedby \textit{now let's do some grouping}
\\\\\\
(x^4+xy^3)~~+~~(x^3+y^3)\implies x(x^3+y^3)~~+~~(x^3+y^3)
\\\\\\
\stackrel{\stackrel{common}{factor}}{(x^3+y^3)}(x+1)\\\\
-------------------------------\\\\
\textit{now recall that }\qquad \qquad \textit{difference of cubes}
\\ \quad \\
a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad
a^3-b^3 = (a-b)(a^2+ab+b^2)\\\\
-------------------------------\\\\
(x+y)(x^2-xy+y^2)(x+1)
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Explain how to use a graph of the function f(x) to<br> find f(3).
Oksanka [162]

To find the value of f(3) we need to follow the below steps :

Step 1 : First plot the graph of f(x)

Step 2 : We need to find f(3) or the function value at x = 3 therefore, in the graph locate the point (3,0)

Step 3 : Draw a line parallel to Y-axis passing through the point (3,0) .

Step 4 : Now there exists two cases :

If the drawn line do not intersect the graph of f(x), then no value of f(3) exists for the given function of x

If the drawn line intersects the graph, then the intersection point is marked and a line parallel to x - axis is drawn passing through that marked or intersection point. And the line where it intersects the y - axis is our required value of f(3).

If this is wrong than I guess I wasn't smart enough :)

4 0
2 years ago
Resuelve las siguientes ecuaciones: -x^2 - x =0 -X^2 + 12x = 0 3X^2 - 9x = 0 X^2 - 2x - 3 = 0
vaieri [72.5K]

Responder:

<em>a) 1 </em>

<em>b) 12 </em>

<em>c) 3 </em>

<em>d) -1 y 3 </em>

Explicación paso a paso:

Dadas las siguientes ecuaciones;

a) x²-x =0

x² = 0+x

x² = x

x = 1

b) -x²+12x = 0

-x² = -12x

x² = 12x

x = 12

c) 3x² - 9x = 0

Suma 9x a ambos lados

3x²-9x+9x = 0+9x

3x² = 9x

3x = 9

x = 9/3

x = 3

d) x²-2x-3 = 0

x²-3x+x-3 = 0

x(x-3)+1(x-3) = 0

(x+1)(x-3) = 0

x+1 = 0 y x-3 = 0

x = -1 y 3

4 0
2 years ago
Emily spent a total of $38.04 on four CDs in a CD cost the same amount what is a reasonable amount for the cost of each city exp
pashok25 [27]
In order to find the cost of each CD, you would have to divide $38.04 by 4 CDs and you would get $9.51 as the cost of each CD. If you want to check if your answer is correct, you can either add $9.51 four times to get $38.04 or you can multiply $9.51 x 4 and you should get $38.04 remember that multiplication is always a way to check your answer for division problems and division is always a way to check an answer to your multiplicatiom problems. Just search it up for more info. Hope i helped! :)
7 0
3 years ago
Fill in the missing exponent to make the equation true.<br> 59 - 50-53<br> No links .
andrezito [222]

Answer:

the answer is 6.

Step-by-step explanation:

5^{9}/5^{6}=5^{3}

3 0
3 years ago
Please help will vote brainliest
IgorLugansk [536]

Answer:

653.45 cm^2

Step-by-step explanation:

The volume of a cylinder can be found using:

v=pi r^2 h

We know the radius is 4, and the height is 13, so we can substitute them in

v=pi (4^2)(13)

v=pi (16)(13)

v=pi 208

v=653.451272

Rounded to the nearest hundredth

v=653.45

So the volume is 653.45 cm^3

8 0
3 years ago
Read 2 more answers
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