Question

Question #ad6a9

Answer 1

`W(-8)=-27`

Explanation:

`"to evaluate "W(-8)" substitute x = - 8 into "W(x)`

`rArrW(color(red)(-8))=(4xxcolor(red)(-8))+5`

`color(white)(xxxxxxxx)=-32+5=-27`

Answer 2

`-27`

Explanation:

Have a look at https://socratic.org/help/symbols Particularly note the hash at the beginning and end of the entered 'maths bit' This initiates and ends maths formatting. Example: hash 2x xx3 hash gives `2x xx3` Note the gap between x and xx. No gap gives `2xxx3`
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`color(green)(W(color(red)(x))=4color(red)(x)+5`

The W is just a name that that is assigned to the structure of the expression `4("something")+5`

So every time you see W (for this question) you know they are talking about the structure `4("something")+5`

So `color(green)(W(color(red)(-8))=[4xx(color(red)(-8))]+5`

Set `color(green)(y=W(color(red)(-8))`

`color(green)(y=[4xx(color(red)(-8))]+5)`

`y=-32+5=-27`

Answer 3

`-27`

Explanation:

`W(x) = 4x+5`
`when` `x=-8`
`W(x) = 4 . (-8) +5`
`-32+5` `= -27`