The solutions to the given absolute value equation are:
x = −74 and x = 80
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How to solve the given equation for x?</h3>
Here we want to solve the absolute value equation:
(1/7)*|x - 3| - 2 = 9
To solve this, we first need to isolate the absolute value part, so we get:
(1/7)*|x - 3| - 2 = 9
(1/7)*|x - 3| = 9 + 2
(1/7)*|x - 3| = 11
|x - 3| = 11*7
|x - 3| = 77
Now we can decompose the absolute value equation into two simpler ones, which are:
x - 3 = 77
x - 3 = -77
Solving those two equations we get:
x = 77 + 3 = 80
x = -77 + 3 = -74
Thus the solutions are:
x = -74 and x = 80, we conclude that the correct option is the last one.
If you want to learn more about absolute value equations:
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Answer:
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Step-by-step explanation:
She bought 42 more cans of cat food becuase 6 packages with 9 cans is 6 times 9 and that is 54 -42 to equal 12 because 3 times 4 which is how much dog food she buys
1) A. since, if you put the numbers into the equation (one at a time) the equation = 0 each time, which is true.
2) I think I've been taught to complete the square slightly differently
x^2 - 18x - 17 = 0
(x-9)^2 - 81 -17 = 0
(x-9)^2 - 98 = 0
I hope you can get something from that
Cos(x) is infinitely differentiable, can be expanded using Taylor's series.
The series about c can be expressed as
Substituting cos(x), c= π /4,we have
and since
we can simplify the expansion to
Note that the sign pattern is - - + + - - + + - - ..... following the sign pattern of the derivatives of cos(x).
