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2 years ago

2/3x - 1/9x + 5 = 20 what is x ?

Mathematics

2 answers:

Gre4nikov [31]2 years ago

6 0

Answer:

x=27

Step-by-step explanation:

solve for x by simplifying both sides of the equation then isolating the variable

Triss [41]2 years ago

6 0

Answer:

x=27

Step-by-step explanation:

2/3x-1/9x+5=20 (Simplify)

5/9x+5=20 (Subtract 5 from both sides)

5/9x=15 (Multiply 9 from both sides to get 5x by itself)

5x=135 (Divide by 5 from both sides to get x by itself)

x=27

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If the function f(x) has a domain of (g,h) and a range of (j,k), then what is the domain and range of g(x) = m(f(x)] + p?

sertanlavr [38]

Answer:

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Step-by-step explanation:

From Mathematics we remember that the domain of a functions corresponds to the set of values of the independent variable ( $x$ in this case) so that images exist and the range of a function is the set of images.

In this case, we know the domain and range of $f(x)$ and we must find the domain and range of $g(x)$ .

Domain

The domain of $g(x)$ is the domain of $f(x)$ . That is, $Dom\{g(x)\} = Dom\{f(x)\} = (g, h)$ .

Range

We have to define the bounds of the range of $g(x)$ , given that range $f(x)$ is modified by streching and horizontal translation operations:

Lower bound ( $f(x) = j$ )

$g(x) = m\cdot j +p$

Upper bound ( $f(x) = k$ )

$g(x) = m\cdot k +p$

In consequence, the range of $g(x)$ is $Ran \{g(x)\} = (m\cdot j+p,m\cdot k +p)$

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Step-by-step explanation:

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Step-by-step explanation:

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