Mario has a 500 page novel which he is required to read over summer break for his upcoming language arts class if Mario read 24
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By solving given equations, the value of c is 30.
Given two equations
x + 2y = 10 and
3x + 6y = c
These lines represents the same line for some constant c.
Value of c:
x + 2y = 10-------------(1)
3x + 6y = c-------------(2)
Dividing equation (2) by 3
After solving the above equation, we get
x + 2y = c/3-----------(3)
Remember that a line is written as ax + by = c, in our case, both lines have a =1 and b = 2. Therefore, in orther that the two lines are equal, we need that, 10 = c/3
c = 10 × 3 = 30
c = 30
Therefore,
The value of c is 30.
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Let be a sequence that converges to
. This means for any
, there is some
such that
for all
. From this inequality we see that
, so it follows that
.
On the other hand, let be a sequence that converges to 0. This means
for all large enough
, and we get the simpler inequality for free,
, so it follows that
.