What value of x makes this equation true? 2/3x - 5 = 1/6x + 3

Mathematics

1 answer:

Pepsi [2]3 years ago

4 0

Answer:

x=16

Step-by-step explanation:

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Which equation matches the graph? PLEASE HELP MEEEE

Rama09 [41]

Answer: Y = 3x - 2

Work: Okay, let's take this step by step. Since the Y - Intercept is -2, put a dot on -2 on the (Y) Line. It also just so happens that the line goes through -2. Now with 3x. 3x is the same thing as 3x / 1. Since three is on the top, you go up three from -2, and then move over one spot because of the 1 (If it was a negative one, you go the opposite direction) Alright, now you see that the line also passes through that point as well, so it has to be y = 3x -2

I hope this helps, and Happy Holidays! :)

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3 years ago

A and b are positive integers and a-b=2. Evaluate the following: 9^1/2b/3^a

OlgaM077 [116]

Answer:

$\frac{1}{ 9 }$

Step-by-step explanation:

$\huge \frac{ {9}^{ \frac{1}{2}b } }{ {3}^{a} } \\ \\ = \huge \frac{ {( {3}^{2} )}^{ \frac{1}{2}b } }{ {3}^{a} } \\ \\ = \huge \frac{ { {3}}^{2 \times \frac{1}{2}b } }{ {3}^{a} } \\ \\ \huge = \frac{ {3}^{b} }{ {3}^{a} } \\ \\ \huge = \frac{1}{ {3}^{a - b} } \\ \\ \huge= \frac{1}{ {3}^{2} } \\ ( \because \: a - b = 2)\\ \\ \huge = \frac{1}{ 9 }$