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1 year ago

Determine whether the following has one solution, no solution, or many solutions.3(3 - x) + 5x = 2(x + 2)

Mathematics

1 answer:

Vilka [71]1 year ago

5 0

Given the equation :

$3(3-x)+5x=2(x+2)$

Solve for x:

$\begin{gathered} 3\cdot3-3x+5x=2x+2\cdot2 \\ 9+2x=2x+4 \\ 9-4=2x-2x \\ 5=0 \end{gathered}$

The last result means that the given equation has no solution

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If y=(x^2-4)^5(3x+4)^4

alexira [117]

Answer:

$y'=2(3x+4)^3(x^2-4)^4(21x^2+20x-24)$

Step-by-step explanation:

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

$y'=[\frac{d}{dx}(x^2-4)^5](3x+4)^4+(x^2-4)^5[\frac{d}{dx}(3x+4)^4]$

$y'=10x(x^2-4)^4(3x+4)^4+(x^2-4)^5(12(3x+4)^3)$

$y'=10x(x^2-4)^4(3x+4)^4+12(x^2-4)^5(3x+4)^3$

$y'=2(3x+4)^3(x^2-4)^4(21x^2+20x-24)$

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2 years ago

Which of the following ordered pairs represents the solution to the system given below?

pentagon [3]

(3,-1) just fill it in and the only one that makes sense is the first one

4 0

3 years ago

Let f(x)=x+3 and g(x)=1/x. The graph of (f*g)(x) is shown below.

Vlad [161]

For this case we have the following functions:
$f (x) = x + 3

g (x) = 1 / x$ When composing the functions we have:
$(fog) (x) = f (g (x))
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Substituting values we have:
$(fog) (x) = ((1 / x) +3)
$
Rewriting:
$(fog) (x) = 1 / x + 3
$
The function has a horizontal asymptote at y = 3.
Therefore, the range of the function is all reals minus y = 3.
Answer:
option 3

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