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MissTica
4 years ago
7

Find the x-values for which f(x) = g(x) if you know that f(x) = x2 and g(x) = 9.

Mathematics
1 answer:
Juli2301 [7.4K]4 years ago
5 0

Answer:

For the values of x  = 3 and x = -3 the given functions f(x) = g(x)

Step-by-step explanation:

Here, the given functions are

f(x)  = x^{2} \\g(x) = 9

Now, given f(x)  = g(x)

⇒ x^{2}   = 9

or, x = \sqrt{9}   \implies x  = 3, -3

Hence, for the values of x  = 3 and x = -3 the given functions f(x) = g(x)

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The length and width of a rectangle are ( 2x -5) and ( 3 x +4) What is the Perimeter?
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Answer:

\fbox{ \sf{Perimeter \: of \: a \: rectangle = 10x - 2}}

Step-by-step explanation:

\star{ \sf{ \:  \: Length \: of \: a \: rectangle ( l )  = (2x - 5) }}

\star{ \sf{ \: Width \: of \:  a \: rectangle ( w ) = (3x + 4)}}

\star{ \sf{ \:  \: Perimeter \: of \: a \: rectangle =  ?}}

\boxed{ \bold{  \sf{Perimeter \: of \: a \: rectangle = 2(l + w)}}}

\hookrightarrow{ \sf{Perimeter \: of \: a \: rectangle = 2(2x - 5 + 3x + 4)}}

\text{Step \: 1 : \: Collect \: like \: term}

\text{Like \: terms \: are \: those \: which \: have \: the \: same \: base}

\hookrightarrow{ \sf{2(2x  + 3x - 5 + 4)}}

\hookrightarrow{ \sf{2(5x - 5 + 4)}}

\text{Step \: 2  \: :  \: Subtract \: 4 \: from \: 5}

\text{Remember !\:  : the \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer}

\hookrightarrow{ \sf{2(5x - 1)}}

\text{Step \: 3 \:  :  \: Distribute \: 2 \: through \: the \: parentheses}

\hookrightarrow{ \sf{2 \times 5x - 2 \times 1}}

\hookrightarrow{ \sf{10x - 2}}

\sf{∴ \: The \: perimeter \: of \: a \: rectangle = 10x - 2}

\text{Hope \: I \: helped !}

\text{Best \: regards ! }

~\text{TheAnimeGirl}

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Step-by-step explanation:


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