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2 years ago

7

Factor the polynomial.

1 answer:

mixer [17]2 years ago

6 0

Answer:

Final answer is choice B. $(5x-2y)^2$

Step-by-step explanation:

We need to factor the given expression $25x^2-20xy+4y^2$

$25x^2-20xy+4y^2$

$=25x^2-10xy-10xy+4y^2$

$=5x(5x-2y)-2y(5x-2y)$

$=(5x-2y)(5x-2y)$

$=(5x-2y)^2$

Hence final answer is choice B. $(5x-2y)^2$

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Find the absolute maximum and minimum values of the following function in the closed region bounded by the triangle with vertice

alukav5142 [94]

$f(x,y)=2x^2-8x+y^2-8y+2$

$f_x(x,y)=4x-8=0\implies x=2$

$f_y(x,y)=2y-8=0\implies y=4$

There is one critical point at (2, 4), but this point happens to fall on one of the boundaries of the region. We'll get to that point in a moment.

Along the boundary $x=0$ , we have

$f(0,y)=y^2-8y+2=(y-4)^2-14$

which attains a maximum value of

$f(0,4)=-14$

Along $y=44$ , we have

$f(x,44)=2x^2-8x+1586=2(x-2)^2+1578$

which attains a maximum of

$f(2,44)=1578$

Along $y=2x$ , we have

$f(x,2x)=6x^2-24x+2=6(x-2)^2-22$

which attains a maximum of

$f(2,4)=-22$

So over the given region, the absolute maximum of $f(x,y)$ is 1578 at (2, 44).

8 0

2 years ago

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Sveta_85 [38]

15,840 is the answer for this question.

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3 years ago

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Simplify 3x⁵y³ ÷2y² step by step

seropon [69]

Answer:

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Step-by-step explanation:

3x^5y^3

----------------

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Simplify the y terms

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Step-by-step explanation:

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Step-by-step explanation:

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