Rewriting input as fractions if necessary:
7/1, 343/1
For the denominators (1, 1) the least common multiple (LCM<span>) is </span>1.
Therefore, the least common denominator (LCD<span>) is </span>1.
<span>Rewriting the original inputs as equivalent fractions with the </span>LCD:
<span>7/1, 343/1</span>
The slope of a line passing through two points is the ratio between the difference of the y coordinates and the difference of the x coordinates. In formulas, you have
If you plug your values, you have
which is undefined.
In fact, since the two points share the same x coordinate, the segment AB is vertical, and the slope is not defined for vertical lines.
C 50 miles is your answer!
35/0.7
=
50 miles
After calculation, the composite function f(g(0)) returns the value 2 as the response.
Given, the values of the functions are:
f(x) = √₋x₊1 and g(x) = ₋x₋3
we need to find f(g(0)) = ?
F of g of x is another name for a composite function. Normal representations include f(g(x)) or (f g)(x), which denote that x = g(x) should be used in place of f(x). While the function g (x) is referred to as an inner function, the function f (x) is referred to as an outer function.
It means that every instance of an x in the function f is replaced with the function g(x).
∵ g(x) = ₋x₋3 so we can substitute this in the following expression:
g(0) = -(0) ₋ 3
g(0) = ₋3
Now in place of g(0) we can write ₋3, hence the changed expression becomes:
f(g(0)) = f(₋3)
= √₋(₋3)₊1
= √4
∴ f(g(0)) = 2
Hence we get the calculated function value as 2.
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1. 150 markup and 300 selling
2. 19.2 markup and 67.2 selling