<span>−2/3(12c−9)+14c
= -8c + 6 + 14c
= 6c + 6</span>
Answer:
Yes it is a function because all the x values are different. If there were two or more of the same number in the x list it would not be a function. And it doesn't matter for the y list if two or more of the numbers are the same.
Answer:
Option A
Step-by-step explanation:
The domain of a function is the set of all numbers that has an image in the co domain. It means that those elements are mapped to other elements and give output values.
From the figure we see that all the elements in are marked to other elements in . So, the domain would be:
Hence, Option A.
5 containers
1 pie = 4 cups
8/4= 2 pies per container
10/2= 5
Answer:
A + B + C = π ...... (1)
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L.H.S.
= ( cos A + cos B ) + cos C
= { 2 · cos[ ( A+B) / 2 ] · cos [ ( A-B) / 2 ] } + cos C
= { 2 · cos [ (π/2) - (C/2) ] · cos [ (A-B) / 2 ] } + cos C
= { 2 · sin( C/2 ) · cos [ (A-B) / 2 ] } + { 1 - 2 · sin² ( C/2 ) }
= 1 + 2 sin ( C/2 )· { cos [ (A -B) / 2 ] - sin ( C/2 ) }
= 1 + 2 sin ( C/2 )· { cos [ (A-B) / 2 ] - sin [ (π/2) - ( (A+B)/2 ) ] }
= 1 + 2 sin ( C/2 )· { cos [ (A-B) / 2 ] - cos [ (A+B)/ 2 ] }
= 1 + 2 sin ( C/2 )· 2 sin ( A/2 )· sin( B/2 ) ... ... ... (2)
= 1 + 4 sin(A/2) sin(B/2) sin(C/2)
= R.H.S. ............................. Q.E.D.
...........................................................................................................
In step (2), we used the Factorization formula
cos x - cos y = 2 sin [ (x+y)/2 ] · sin [ (y-x)/2 ]
Step-by-step explanation: