3 years ago

Choose the correct simplification of the expression (6x2y)2(y2)3.

Mathematics

2 answers:

Hunter-Best [27]3 years ago

6 0

Answer:

the answer is c

Step-by-step explanation:

AnnZ [28]3 years ago

3 0

Answer:

the correct answer is C)

Step-by-step explanation:

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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

3 years ago

one half multiplyed by 4 pluse one quarter times 4 pluse three quarters times 4 pluse three 8s times. 3 pluse 5 8s times 3

elena-14-01-66 [18.8K]

.5 times four is 3 plus one quarter is 2.33 times 4 is 9.32 plus 75 is 10.07plus 24 is 24.07 then 32 and answer is 56.07

4 0

3 years ago

Which is the best definition of a square? A. a 4-sided polygon with all sides equal B. a parallelogram with all sides equal and

Veronika [31]

I would say B) A parallelogram with all sides equal and all angles equal. Parallelograms aren't all squares. They can be rectangles and rhombuses. I would say B. They all have the same lengths on all sides. They all have the same angles as well. Take a look at the pictures below. They are all parallelograms. All sides are the same, and all angles are the same.