Write the expression for when you translate the graph of y = |3x|− 5 one unit to the right.

Mathematics

1 answer:

DedPeter [7]3 years ago

5 0

Answer:

$y=|3x-3|-5$

Step-by-step explanation:

Notice that we are requested to perform a horizontal shift of on unit to the right. Recall that a horizontal shift of one unit to the right involves the operation of subtracting from the variable "x" one unit.

Therefore, this implies the following mathematical transformation to the variable "x":

$y=|3(x-1)|-5\\y=|3x-3|-5$

where we simply completed distributive property to get rid of the parenthesis inside the absolute value.

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Determine the numerical value of the following expression without the use of a calculator:

pashok25 [27]

The numerical value if the expression is 0

The expression to be solved is

$log ( log ( 3 )- log ( 2 ) - (\frac{\sqrt{3}-2sin ( \frac{pi}{3} ) }{pi^{3} +1 } +1)) - log ( 2 ) log ( 3) } + ( -1 )^{100}$

<h3>How to solve the given expression</h3>

sin ( pi/3 ) = $\frac{\sqrt{3} }{2}$

2sin ( pi/3 ) = 2 * $\frac{\sqrt{3} }{2}$ = $\sqrt{3}$

$log ( log ( 3 )(log ( 2 ) (\frac{\sqrt{3}-2sin ( \frac{pi}{3} ) }{pi^{3} +1 } +1)) - log ( 2 ) log ( 3) } + ( -1 )^{100})\\log ( log ( 3 ) log ( 2 ) (\frac{\sqrt{3}- \sqrt{3} }{pi^{3} +1 } +1)) - log ( 2 ) log ( 3) } + ( -1 )^{100})\\log ( log ( 3 ) log ( 2 ) (\frac{0 }{pi^{3} +1 } +1)) - log ( 2 ) log ( 3) } + ( -1 )^{100})$

$log ( log ( 3 ) log ( 2 ) (0 +1 ) - log ( 2 ) log ( 3) } + ( -1 )^{100})\\log ( log ( 3 ) log ( 2 ) - log ( 2 ) log ( 3) + ( -1 )^{100})\\log (0 + ( -1 )^{100})$