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3 years ago

Find the value of the polynomial 3xy+7x2−3x2y+3y2x−2x2−2xy+4x2y−2y2x, when x=1 and y=−2

1 answer:

maks197457 [2]3 years ago

7 0

solving the polynomial $3xy+7x^2-3x^2y+3y^2x-2x^2-2xy+4x^2y-2y^2x\,\,when\,\,x=1\,\,and\,\,y=-2$ we get the value -16

Step-by-step explanation:

We need to find the value of polynomial $3xy+7x^2-3x^2y+3y^2x-2x^2-2xy+4x^2y-2y^2x\,\,when\,\,x=1\,\,and\,\,y=-2$

Putting value of x as 1 and y=-2 and finding the value of polynomial.

$3xy+7x^2-3x^2y+3y^2x-2x^2-2xy+4x^2y-2y^2x\\=3(1)(-2)+7(1)^2(-2)-3(1)^2(-2)+3(-2)^2(1)-2(1)^2-2(1)(-2)+4(1)^2(-2)-2(-2)^2(1)\\=3(-2)+7(-2)-3(-2)+3(4)-2+4-8-2(4)\\=-6-14+6+12-2+4-8-8\\=-16$

So, solving the polynomial $3xy+7x^2-3x^2y+3y^2x-2x^2-2xy+4x^2y-2y^2x\,\,when\,\,x=1\,\,and\,\,y=-2$ we get the value -16

Keywords: Solving polynomials

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Answer:

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$N_{c} = 2 \times T_{c}$

Step-by-step explanation:

Alejandro has read 28 pages so far and he can read 1 page per minute.

Again, Carly has read 12 pages so far and he can read 2 pages per minute.

If the variable N represents the number of pages read by the readers and T in minutes represents the time spent by the reader to read this number of pages, then

For Alejandro: $N_{a} = 1 \times T_{a} = T_{a}$ ......... (1)

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So, the equations (1) and (2) gives the number of pages that Alejandro and Carly read. (Answer)

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3 years ago

What is the value of x in the equation 2<br> (4x+)-(3x+2)- 8(9-x) = x

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Answer:

open the bracket

(4X+)-3X-2-72+X=X

4X+(-3X)-74+X=X

X-74+X=X

2X-74=X

then collect the term

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divide by negative every side then you get

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2 years ago

Eugene wants to buy jeans at a store that is offering a $10 discount on every item. The tag on the jeans is marked 50% off. The

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A. $14.99 .. do $49.98/2 = $24.99 and then subtract $10.
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3 years ago

For what value of k does the equation 6(x + 1) + 2 = 3(k5x + 1) + 3 have no solution?

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Answer:

k = (6/15)

Step-by-step explanation:

The equation is:

6*(x + 1) + 2 = 3*(k*5*x + 1) + 3

To have no solutions, we need to have something like:

x + 7 = x + 4

where we can remove x in both sides and end with

7 = 4

So this equation is false, meaning that there is no value of x such that this equation is true, then the equation has no solutions.

First, let's try to simplify our equation:

6*(x + 1) + 2 = 3*(k*5*x + 1) + 3

6*x + 6 + 2 = 3*k*5*x + 3*1 + 3

6*x + 8 = 15*k*x + 6

if 15*k = 6, then the system clerly has no solution.

then:

k = 6/15

then we get:

6*x + 8 = (6/15)*15*x + 6

6*x + 8 = 6*x + 6

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The system has no solutions.

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2 years ago

Sugar was traditionally produced and sold as sugarloaves, which are cones of sugar wrapped in paper. Find the total surface area

Zolol [24]

Answer:

A = 326,73 cm²

Step-by-step explanation:

The area of a circular cone is area of the base (A₁ ) plus area lateral ( area of a circular sector of radius the slant height )

Then we proceed to calculate the area of the base A₁

diameter of circular base is 8 cm then the radius is 4 cm and the area is:

A₁ = π*r² = 3,14* (4)²

A₁ = 3,1416*16 = 50,2656 cm²

Now Lateral area of the cone (A₂) is equal to the area of a circular sector with radius the slant height. We will calculate it, taken into account that this circular sector is part of a circle of radius the slant height.

Between the area of circular sector with radius the slant height and the area of the circle with the same radius there is a linear relation. That is we can calculate area of a circular sector by rule of three as follows:

The length of the circular sector is the length of the circle of the base of the cone, that is:

L = 2*π*(4)

L = 2*3,1416*4

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Then we have a circular sector of length 25,1328 cm

The area of the circle of radius 22 cm is:

A(c) = π*(22)² ⇒ A(c) = 1520,5344 cm²

And the length of this circle is:

L(c) = 2*π*(22) ⇒ 138,2304 cm

Then we apply a rule of three

For a length of 138,2304 cm ⇒⇒⇒ (area) 1520,5344 cm²

Then for a length of 25,1328 cm ⇒⇒⇒(area) A₂ (??)

Therefore:

A₂ = (25,1328)*1520,5344)/ 138,2304

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Then total area of the cone is:

A = A₁ + A₂

A = 50,2656 +276,4608

A = 326,7264 cm²

Round answer A = 326,73 cm²

8 0

3 years ago

Read 2 more answers