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3 years ago

Find the formula for g(x) if it is known that (x-3)=2x-6

Mathematics

1 answer:

nadya68 [22]3 years ago

3 0

Answer: g(x) = 2*x

Step-by-step explanation:

We want to find the formula of g(x) if we know that g(x - 3) = 2*x - 6

Well, the first step is to find the expression (x - 3) = y in the g(x - 3)

Then:

g(x - 3) = 2*x - 6 = 2*x - 2*3

Now we can just take the common factor 2, and write this as:

2*x -2*3 = 2*(x - 3) = 2*y

then:

g( x - 3) = g(y) = 2*y

if we just replace x by y, we get:

g(x) = 2*x

This is the formula of g(x)

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Answer:

Step-by-step explanation:

-5 y^ - I5 y=0

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3 years ago

A. Find the complement of the angle shown

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<span>A. Find the complement of the angle shown

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Draw a Venn diagram to help answer the following survey:

MrRissso [65]

Answer:

a)8

b)7

c)26

d)60

Step-by-step explanation:

The Venn Diagram is attached

For number of people who saw a single movie only

See the number associated with the movie name excluding all intersection parts

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3 years ago

Factor completely: 4a^2+b^2−c^2+4ab

Lapatulllka [165]

Answer:

$4a^{2} + b^{2} - c^{2} + 4ab$ $= (2a + b -c) (2a + b+c)$

Step-by-step explanation:

Here, the given expression is $4a^{2} + b^{2} - c^{2} + 4ab$

or, the given expression can be written as

$(4a^{2} + b^{2} + 4ab ) - c^{2}$

Now, by ALGEBRAIC IDENTITY: $(x+y)^{2} = x^{2} + y^{2} + 2xy$

So, similarly here, $(2a +b){2} = 4a^{2} + b^{2} + 4ab$

Hence, on simplification, the expression

$(4a^{2} + b^{2} + 4ab ) - c^{2} = (2a + b)^{2} - c^{2}$

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So, similarly $(2a + b)^{2} - c^{2}$ $= (2a + b -c) (2a + b+c)$

Hence, the given expression is factorized as:

$4a^{2} + b^{2} - c^{2} + 4ab$ $= (2a + b -c) (2a + b+c)$

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Zielflug [23.3K]

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