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Harlamova29_29 [7]
3 years ago
12

Margo can purchase tile at a store for $0.59 per tile and rent a tile saw for $28. At another store she can borrow the tile saw

for free if she buys tiles there for $1.29 per tile. How many tiles must she buy for the cost to be the same at both stores?
Mathematics
1 answer:
Doss [256]3 years ago
7 0

Answer:

60

Step-by-step explanation:

I dont know how to explain

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What are the roots of the function f(x) = (log(3x ) − 2 log(3)) · (x 2 − 1) with x ∈ R?
slavikrds [6]

\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}

Given:

▪ \sf{f(x) = ( log(3x)  - 2log(3))( {x}^{2}  - 1) } \ \sf{x \in R}

Solve:

\longrightarrow \sf{f(x) = (log(3x) - 2log(3))( {x}^{2}  - 1) = 0}

\small\longrightarrow \sf{ log(3x)  - 2 log(3)  = 0 \:  \: or \:  {x}^{2}  - 1 = 0 }

\small\longrightarrow \sf{ log(3x)  - 2 log(3)  = 0}

\small\longrightarrow \sf{ log(3x)  - 2 log(3)  = 0}

\small\longrightarrow \sf{ log(3x)  -   log( {3}^{2} )  = 0}

\small\longrightarrow \sf{log_{10}( \dfrac{3x}{9} )  = 0}

\small\sf{ \Longrightarrow \dfrac{3x}{9}  =  {10}^{0} }

\small\longrightarrow \sf{ \dfrac{x}{3}  = 1}

\small \sf{x= \underline{3}}

Next \downarrow

\small\longrightarrow \sf{{x}^{2}  - 1 = 0}

\small\longrightarrow \sf{   {x}^{2}  = 1}

\small\longrightarrow \sf{x =  \pm \sqrt{1} }

\small\sf{x= (\underline{1},-1)}

\small\longrightarrow \sf{ log(3x)  = log(3( - 1)) \cancel{ \in}R}

\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}

\small\bm{The \: \: roots \: \:  of \: \:  f(x) \: are \: 1 \: and \: 3.}

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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