Suppose that 16 inches of wire cost 64 cents at the same rate how much in cents will 44 inches of wire cost?

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(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

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ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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domain 20(x−3)(x+4)(x−3)²(x−5)

Solution

x<3 or 3<x<5 or x>5

Interval Notation

(−∞ , 3)∪(3, 5)∪(5, ∞ )

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Domain definition

The domain of a function is the set of input or argument values for which the function is real and defined

Find undefined (singularity) points: x=3, x=5

The function domain

x<3 or 3<x<5 or x>5

Solve instead

range 20(x−3)(x+4)(x−3)²(x−5)

inverse 20(x−3)(x+4)(x−3)²(x−5)

intercepts 20(x−3)(x+4)(x−3)²(x−5)

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

Suppose that 16 inches of wire cost 64 cents at the same rate how much in cents will 44 inches of wire cost?

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Suppose that 16 inches of wire cost 64 cents at the same rate how much in cents will 44 inches of wire cost?

Solution

Solution steps

Solve instead

Number Line

Graph