Evaluate.

$\frac{4}{5x{y}^{3}}+\frac{2x}{15{y}^{2}}$

$\frac{4}{5x{y}^{3}}+\frac{2x}{15{y}^{2}}$

Lillie Pittman
2022-07-31
Answered

Evaluate.

$\frac{4}{5x{y}^{3}}+\frac{2x}{15{y}^{2}}$

$\frac{4}{5x{y}^{3}}+\frac{2x}{15{y}^{2}}$

You can still ask an expert for help

Osvaldo Crosby

Answered 2022-08-01
Author has **12** answers

$(4)/(5x{y}^{3})+(2x)/(15{y}^{2})$

$(2x)/(15{y}^{2})\ast (xy)/(xy)+(4)/(5x{y}^{3})\ast (3)/(3)$

$(2{x}^{2}y)/(15x{y}^{3})+(12)/(15x{y}^{3})$

$(2{x}^{2}y+12)/(15x{y}^{3})$

$(2({x}^{2}y)+2(6))/(15x{y}^{3})$

ANSWER: $(2({x}^{2}y+6))/(15x{y}^{3})$

$(2x)/(15{y}^{2})\ast (xy)/(xy)+(4)/(5x{y}^{3})\ast (3)/(3)$

$(2{x}^{2}y)/(15x{y}^{3})+(12)/(15x{y}^{3})$

$(2{x}^{2}y+12)/(15x{y}^{3})$

$(2({x}^{2}y)+2(6))/(15x{y}^{3})$

ANSWER: $(2({x}^{2}y+6))/(15x{y}^{3})$

Carpanedam7

Answered 2022-08-02
Author has **3** answers

$LCD:15x{y}^{3}$

asked 2022-03-24

Let $P\left(z\right)=a{z}^{2}+bz+c$ , where a,b,c are complex numbers.

1) If P(z) is real for all real z then show that a,b,c are real numbers.

2) In addition to (1) above, assume that P(z) is not real whenever z is not real. Show that$a=0$ .

1) If P(z) is real for all real z then show that a,b,c are real numbers.

2) In addition to (1) above, assume that P(z) is not real whenever z is not real. Show that

asked 2021-12-04

Use the discriminant, $b2-4ac$ , to determine the number of solutions of the following quadratic equation. Then solve the quadratic equation using the quadratic formula.

$-6{x}^{2}-5=2$

Select the number and type of solutions. Then, enter the solutions.

a) Two different real solutions

b) One Repeated real solution

c) Two Non-Real solutions.

Select the number and type of solutions. Then, enter the solutions.

a) Two different real solutions

b) One Repeated real solution

c) Two Non-Real solutions.

asked 2022-07-10

Let

${\mathrm{\Delta}}_{n-1}:=\{x\in {R}^{n}:{x}_{1}+{x}_{2}+....{x}_{n}=1,{x}_{1},{x}_{2},....{x}_{n}\ge 0\}$

and

$a\in {R}^{n}$

Let

$z:={P}_{{\mathrm{\Delta}}_{n-1}}(a)$

be the projection of point a onto ${\mathrm{\Delta}}_{n-1}$. Show that $z$ satisfies the system of inequalities

$z-y=a-\mu \mathbf{\text{e}},z\ge 0,y\ge 0,{z}^{T}y=0$

where $\mathbf{\text{e}}$ is the vector of all ones. $y,z\in {R}^{n},\mu \in R$. One can use obtuse angle condition of the projection theorem over the convex set along with Farkas Lemma.

I don't know how to approach this problem.

${\mathrm{\Delta}}_{n-1}:=\{x\in {R}^{n}:{x}_{1}+{x}_{2}+....{x}_{n}=1,{x}_{1},{x}_{2},....{x}_{n}\ge 0\}$

and

$a\in {R}^{n}$

Let

$z:={P}_{{\mathrm{\Delta}}_{n-1}}(a)$

be the projection of point a onto ${\mathrm{\Delta}}_{n-1}$. Show that $z$ satisfies the system of inequalities

$z-y=a-\mu \mathbf{\text{e}},z\ge 0,y\ge 0,{z}^{T}y=0$

where $\mathbf{\text{e}}$ is the vector of all ones. $y,z\in {R}^{n},\mu \in R$. One can use obtuse angle condition of the projection theorem over the convex set along with Farkas Lemma.

I don't know how to approach this problem.

asked 2020-12-02

Solve the equations and inequalities.

asked 2022-03-23

Solve using the quadratic formula

$2{x}^{2}-x=9$

asked 2022-01-21

Given the function $f\left(x\right)=630{\left(.64\right)}^{x},$ determine if this function models exponential growth or decay and identify the growth or decay rate.

asked 2022-04-21

If $x}_{1$ and $x}_{2$ are the solutions of the equation ${x}^{2}+px-\frac{a}{{p}^{2}}=0,\text{}a=\frac{1}{\sqrt{2}}+2$ and $p\in R-\left\{0\right\}$

Then prove that${x}_{1}^{4}+{x}_{2}^{4}\ge 2$

Then prove that