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2 years ago

Simplify the expression to a polynomial in standard form: (-3x-5)(-x^2+x-5)

Mathematics

2 answers:

s2008m [1.1K]2 years ago

8 0

Answer:

$( - 3x - 5)( - {x}^{2} + x - 5) \\ 3 {x}^{3} - 3 {x}^{2} + 15x + 5 {x}^{2} - 5x + 25 \\ 3 {x}^{3} + 2 {x}^{2} + 10x + 25 \\$

I hope I helped you^_^

WINSTONCH [101]2 years ago

5 0

Answer:

should be the answer

Step-by-step explanation:

5x^2-10

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3 years ago

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What is the solution to the inequality a - 1 > 11

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3 years ago

Suppose X, Y, and Z are random variables with the joint density function f(x, y, z) = Ce−(0.5x + 0.2y + 0.1z) if x ≥ 0, y ≥ 0, z

kompoz [17]

$f_{X,Y,Z}(x,y,z)=\begin{cases}Ce^{-(0.5x+0.2y+0.1z)}&\text{for }x\ge0,y\ge0,z\ge0\\0&\text{otherwise}\end{cases}$

is a proper joint density function if, over its support, $f$ is non-negative and the integral of $f$ is 1. The first condition is easily met as long as $C\ge0$ . To meet the second condition, we require

$\displaystyle\int_0^\infty\int_0^\infty\int_0^\infty f_{X,Y,Z}(x,y,z)\,\mathrm dx\,\mathrm dy\,\mathrm dz=100C=1\implies \boxed{C=0.01}$

b. Find the marginal joint density of $X$ and $Y$ by integrating the joint density with respect to $z$ :

$f_{X,Y}(x,y)=\displaystyle\int_0^\infty f_{X,Y,Z}(x,y,z)\,\mathrm dz=0.01e^{-(0.5x+0.2y)}\int_0^\infty e^{-0.1z}\,\mathrm dz$

$\implies f_{X,Y}(x,y)=\begin{cases}0.1e^{-(0.5x+0.2y)}&\text{for }x\ge0,y\ge0\\0&\text{otherwise}\end{cases}$

Then

$\displaystyle P(X\le1.375,Y\le1.5)=\int_0^{1.5}\int_0^{1.375}f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy$

$\approx\boxed{0.12886}$

c. This probability can be found by simply integrating the joint density:

$\displaystyle P(X\le1.375,Y\le1.5,Z\le1)=\int_0^1\int_0^{1.5}\int_0^{1.375}f_{X,Y,Z}(x,y,z)\,\mathrm dx\,\mathrm dy\,\mathrm dz$

$\approx\boxed{0.012262}$

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3 years ago

A bag of marbles can be divided evenly among 2, 3 or 4 friends.

aivan3 [116]

Answer:

a)12 b)12 c)36

Step-by-step explanation:

a)find the least common multiple. the number of marbles is that number * n (where n is an integer)

b) the least common multiple. it is 4*3=...

c)12*3 =?

then just divide by 2,3,4 to get the answer

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3 years ago

Solve the equation by factoring X^2+3x+2=0.

vredina [299]

Answer:

(x+2)(x+1)=0

so x = -2,-1

Step-by-step explanation:

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3 years ago