The greatest common factor (gcf) is 6.
Answer:
x = 10
y = 40
Step-by-step explanation:
60° + (2x + 7y)° = 180° because these two angles are supplementary
So 2x + y would be equal to 60°
60° + (2x + 7y)° = 180° subtract 60 from both sides
2x + 7y = 120 and
2x + y = 60 multiply second equation by -1 and it will be -2x -y = -60 now add it to first equation
2x + 7y -2x - y = 120 - 60 -2x will eliminate 2x
6y = 60 divide both sides by 6
x = 10
if 2x + y = 60 the we need to replace x with the value we found
2×10 + y = 60
y = 40
Answer:under is answer
Step-by-step explanation:
5/8+3/4=11/8 then,-2/3-5/6=-3/2
Yes, this is the right answer
Hence, the functions that produce given sequence are:
f(n) = 2n + 1
f(n) = 2(n − 1) + 3
Further explanation:
We will put n=1,2,3,4,5 to find which functions give the given sequence
<u>f(n) = 2n − 1</u>
Putting values of n

This function doesn't generate the given sequence
<u>f(n) = 2n + 1</u>
Putting values of n

This function generates the given sequence.
<u>f(n) = 2(n − 1) − 3</u>
Putting values of n

This function doesn't generate the given sequence
<u>f(n) = 2(n − 1) + 3</u>
Putting values of n

Hence, the functions that produce given sequence are:
f(n) = 2n + 1
f(n) = 2(n − 1) + 3
Keywords: Functions, Sequence
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