Given function f(x) which is described by "<span>Dawn writes 800 pages in 80 days".
From this function we can notice that Dawn writes 0 pages in 0 days, (i.e. the initial point of the function is point (0, 0).
Recall that the slope, m, of a line passing through points:

and

is given by

Function f(x) passes through points (0, 0) and (80, 800).
Thus the slope of function f(x) is given by

Give function g(x), passing through points (2, -6) and (4, 12), the slope is given by

It can be seen that the slope of f(x) and the slope of g(x) are close.
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Answer: a²+b² = -99/2
Step-by-step explanation:
Since we are given two equations, this equations will be solved simultaneously to get a² and b²
a³ - 3ab² = 47 ... 1
b³ - 3a² b = 52... 2
From 1, a(a² - 3b²) = 47...3
From 2, b(b² - 3a²) = 52... 4
Adding 3 and 4, we have;
a²+b²-3b²-3a² = 99 (note that a and b will no longer be part of the equations as they have been factored out)
a²+b²-(3b²+3a²) = 99
(a²+b²) -3(b²+a²)= 99
Taking the difference we have
- 2(a²+b²) = 99
a²+b² = -99/2
Answer:
Least common multiple (LCM) of 12 and 24 is 24.
Step-by-step explanation:
In order to express 0.45 as a common fraction, all you have to do is first divide 45 to 100. So in order to get the answer to this, you just have to put 45 as the numerator and 100 as the denominator. This will become 45/100. To turn it into its simple form, you have to first ask yourself what is a common divisible number for the two. 5 can be divided by 45 and 100 so 5 can be used. So the final answer, if you make it into simplest form, will be 9/20