Answer:
x ≈ {0.653059729092, 3.75570086464}
Step-by-step explanation:
A graphing calculator can tell you the roots of ...
f(x) = ln(x) -1/(x -3)
are near 0.653 and 3.756. These values are sufficiently close that Newton's method iteration can find solutions to full calculator precision in a few iterations.
In the attachment, we use g(x) as the iteration function. Since its value is shown even as its argument is being typed, we can start typing with the graphical solution value, then simply copy the digits of the iterated value as they appear. After about 6 or 8 input digits, the output stops changing, so that is our solution.
Rounded to 6 decimal places, the solutions are {0.653060, 3.755701}.
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A similar method can be used on a calculator such as the TI-84. One function can be defined a.s f(x) is above. Another can be defined as g(x) is in the attachment, by making use of the calculator's derivative function. After the first g(0.653) value is found, for example, remaining iterations can be g(Ans) until the result stops changing,
6 x 532 in expanded form is 6 x 500 + 30 + 2
-3z - (-z - 2)
In order to find the expression equivalent to our given expression, we have to simplify our given expression :)
-3z + z + 2
**Remember : the "z" and "2" become a positive because a negative times a negative is always a positive!**
Now, add like terms.
(-3z + z) + 2
Simplify.
-2z + 2
Look at our given answer choices.
Our answer is c. -2z + 2
~Hope I helped!~
P(not pink) = 8/13
There are 8 marbles that are not pink out of a total of 13 marbles.
There are at least a few ways to express it, one of them being:
<u>p' = p + 0.075p</u>
p' is for population in the upcoming year.
0.075 is as much as 7.5%, so we just add current population and the value of expected increase.