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s2008m [1.1K]
3 years ago
11

If g(×)=sin(6x)+3 determine g(15°)

Mathematics
1 answer:
kramer3 years ago
3 0

Answer:

g=4/15 or 0.2667

Step-by-step explanation:

g(x)=sin(6x)+3

g(15)=sin(6times 15)+3

15g=sin(90)+3

15g=1+3=4

g=4/15 or 0.2667

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Find the complete factorization of the expression. 12xy + 28xz A) 4yz(10x) B) 4yz(3x + 7x) C) 4x(3y + 7z) D) 4(3xy + 7yz)
VashaNatasha [74]

Answer:

<em>The correct option is:  C)  4x(3y + 7z)</em>

Step-by-step explanation:

Given expression is:   12xy+28xz

First we need to find the GCF(Greatest common factor) of 12xy and 28xz and then we will factor out that GCF.

12xy \Rightarrow 2\times 2\times 3\times x\times y\\ \\ 28xz\Rightarrow 2\times 2\times 7\times x\times z

We can see that the common factors are:  2,2, x

So, the GCF will be:  2\times 2\times x= 4x

Now factoring out 4x from the given expression, we will get.....

12xy+28xz\\ \\ = 4x(\frac{12xy}{4x}+ \frac{28xz}{4x}) \\ \\ =4x(3y+7z)

So, the complete factorization will be:  4x(3y+7z)

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