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3 years ago

Choose the correct simplification of the expression (2x2y6z5)(5x4y5z3).

Mathematics

1 answer:

erastovalidia [21]3 years ago

8 0

Answer:

The correct option is 4.

Step-by-step explanation:

The given expression is

$(2x^2y^6z^5)(5x^4y^5z^3)$

Simplify the given expression.

$(2x^2y^6z^5)\times (5x^4y^5z^3)$

$(2\times 5)(x^2x^4)(y^6y^5)(z^5z^3)$

$10x^{2+4}y^{6+5}z^{5+3}$ $[\because x^mx^n=x^{m+n}]$

$10x^6y^{11}z^8$

Therefore correct option is 4.

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Which of the following expressions are factors of p(x)=60x4+24x3−45x2−18x?

Whitepunk [10]

The factors are 3x, 4x^2-3 and 5x+2

So, Option B, C and F are correct.

Step-by-step explanation:

We need to find factors of the expression $p(x)=60x^4+24x^3-45x^2-18x$

Solving the expression: $p(x)=60x^4+24x^3-45x^2-18x$

Taking 3x common:

$p(x)=3x(20x^3+8x^2-15x-6)$

Now, factor by grouping, the terms inside the bracket.

$p(x)=3x((20x^3+8x^2)+(-15x-6))$

$p(x)=3x(4x^2(5x+2)-3(5x+2))$

$p(x)=3x(4x^2-3)(5x+2)$

So, the factors are 3x, 4x^2-3 and 5x+2

So, Option B, C and F are correct.

Keywords: Finding Factors

Learn more about finding factors at:

#learnwithBrainly

5 0

3 years ago

Question 5 of 20

Dmitry_Shevchenko [17]

I’m going to say B I could be wrong

3 0

3 years ago

Consider f and c below. f(x, y) = (3 + 4xy2)i + 4x2yj, c is the arc of the hyperbola y = 1/x from (1, 1) to 3, 1 3 (a) find a fu

irga5000 [103]

We want to find a scalar function $f(x,y)$ such that $\nabla f(x,y)=\mathbf f(x,y)=\dfrac{\partial f}{\partial x}\,\mathbf i+\dfrac{\partial f}{\partial y}\,\mathbf j$ .
So we need to have
$\dfrac{\partial f}{\partial x}=3+4xy^2$
Integrating both sides with respect to $x$ gives
$f(x,y)=3x+2x^2y^2+g(y)$
Differentiating with respect to $y$ gives
$\dfrac{\partial f}{\partial y}=4x^2y+\dfrac{\mathrm dg}{\mathrm dy}=4x^2y$ $\implies\dfrac{\mathrm dg}{\mathrm dy}=0$ $\implies g(y)=C$
So we find that
$f(x,y)=3x+2x^2y^2+C$
By the fundamental theorem of calculus, we then know the line integral depends only on the values of $f(x,y)$ at the endpoints of the path. Therefore

$\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f\left(3,\frac13\right)-f(1,1)=11-5=6$

4 0

3 years ago

clara played a video game before she left the house to go on a walk. She started with 0 points, lost 6 points 3 times, won 4 poi

Kaylis [27]

Let p = points. 0 -6(3) + 4 - 2 = p. Simplify multiplication to get -18 + 4 - 2. -18 + 4 = -14 - 2 = -16.

4 0

3 years ago

Read 2 more answers

18s^2+2g-12+15g-9s^2

algol13

Answer:

9s^2 + 17g - 12

Explanation:

(basically combine like terms)

the s^2 are like terms, so that would get you 18s^2 - 9s^2 = 9s^2

then the g’s are like terms,
15g + 2g = 17g

then the -12 is all on its own

if you put it all together:

9s^2 + 17g - 12

4 0

3 years ago