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Digiron [165]
3 years ago
10

Is the given number a solution of the equation? Which value of c is a solution to the equation c = 2c – 4?

Mathematics
1 answer:
serg [7]3 years ago
5 0
C - 2c = 2c - 2c - 4
c - 2c = -4
-c = -4
c = 4
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Find the slope and y-intercept for the table.<br><br><br><br> slope: <br><br> y-intercept:
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Step-by-step explanation:

3 0
2 years ago
The 12th term of a sequence is 41 and the 15th term is 140. What is the nth term?
OLga [1]
An= mth term.
an=a₁+(n-1)*d

a₁₂=41
a₁₅=140

a₁₂=41
41=a₁+(12-1)*d
41=a₁+11d 
a₁+11d=41    (1)

a₁₅=140
140=a₁+(15-1)*d
140=a₁+14d 
a₁+14d=140    (2)

With the equiations (1) and (2)  build a system of equations
a₁+11d=41
a₁+14d=140

we solve it.
-(a₁+11d=41)
  a₁+14d=140
--------------------
       3d=99  ⇒d=99/3=33

a₁+11d=41
a₁+(11*33)=41
a₁+363=41
a₁=41-363=-322

an=a₁+(n-1)*d
an=-322+(n-1)*33
an=-322+33n-33
an=-355+33n

an=-355+33n

To check:
a₁₂=-355+33*12=-355+396=41
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