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2 years ago

5

What is the factored form of this expression? 2x^3+5x^2+6x+15

1 answer:

Licemer1 [7]2 years ago

6 0

Answer: (2x+5)(x^2+3)

Step-by-step explanation:

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Mark's brother is five years or than mark. thier ages combinded adds up to 23. How old is mark

drek231 [11]

Answer:

18

Step-by-step explanation:

Mark is 18 years old.

6 0

2 years ago

Read 2 more answers

A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u

Kryger [21]

Given: $f(x) = \frac{1}{x-2}$

$g(x) = \frac{2x+1}{x}$

A.)Consider

$f(g(x))= f(\frac{2x+1}{x} )$

$f(\frac{2x+1}{x} )=\frac{1}{(\frac{2x+1}{x})-2}$

$f(\frac{2x+1}{x} )=\frac{1}{\frac{2x+1-2x}{x}}$

$f(\frac{2x+1}{x} )=\frac{x}{1}$

$f(\frac{2x+1}{x} )=1$

Also,

$g(f(x))= g(\frac{1}{x-2} )$

$g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{x }{1}$

$g(\frac{1}{x-2} )= x$

Since, $f(g(x))=g(f(x))=x$

Therefore, both functions are inverses of each other.

B.

For the Composition function $f(g(x)) = f(\frac{2x+1}{x} )=x$

Since, the function $f(g(x))$ is not defined for $x=0$ .

Therefore, the domain is $(-\infty,0)\cup(0,\infty)$

For the Composition function $g(f(x)) =g(\frac{1}{x-2} )=x$

Since, the function $g(f(x))$ is not defined for $x=2$ .

Therefore, the domain is $(-\infty,2)\cup(2,\infty)$

8 0

3 years ago

Latoya has b decks of cards . Each deck has 52 cards in it , what is the expression for the total numbers of cards latoya has

Lerok [7]

Answer:

52b

Step-by-step explanation:

She has 52 cards per deck, and b decks.

This means she has 52b cards.

How this works:

For 1 deck, she has 52 cards, or 52×1 cards.

For 2 decks, she has 104 cards, or 52×1 cards.

For 5 decks, she has 260 cards, or 52×5 cards.

For 10 decks, she has 520 cards, or 52×10 cards.

Therefore, for b decks, she has 52×b, or 52b cards.

**This content involves writing algebraic expressions, which you may wish to revise. I'm always happy to help!

6 0

3 years ago

Sally needs to have some drywall and insulation work done in her house. She has received a quote from a professional drywall con

Leno4ka [110]

It said the correct answer was the contractor

5 0

3 years ago

Read 2 more answers

Simplify 3^2 x 3^4 x 3^6 A3^10 B3^12 C3^48 D3^0

kvasek [131]

Answer:

$\boxed{\sf\: B)\:3^{12}}$

Step-by-step explanation:

$\sf 3^2\times \:3^4\times \:3^6$

<u>Apply exponent rule:</u>

$\hookrightarrow \boxed{\sf a^b\times \:a^c=a^{b+c}}$

$\sf 3^2\times \:3^4\times \:3^6$

$\sf 3^{2+4+6}$

Add the numbers:

$\sf 2+4+6=12$

$\sf \:3^{12}$

________________________________

7 0

2 years ago