Option c:
Step-by-step explanation:
The expression is
Applying the exponent rule, we have,
Multiplying the denominator,
Rewriting this expression,
Cancelling the common terms, we have,
Thus, the expression equivalent to is
Find the length of the base of a triangle when one side is 2cm shorter than the base and the other side is 3cm longer than the b
1 answer:
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Answer:
so the axis of symmetry is x=4
I think there is a mistake in the question. If f(x) = (3 / 2)^x
, then
x f(x)
0 1
40 11057332.32
If the scale is 10 units to one inch, then you will need a paper size of 1105733.232 inches!
As a reference, a graph is included in attachments.
To get a linear function 2 points are needed. Assuming the equation g(x) = m*x and taking the points of the aforementioned table, we can compute the slope as
m = (f(x2) - f(x1))/(x2 - x1)
m = (11057332.32 - 1)/(40 - 0)
m = 276434.283
Function g(x) = 276434.283*x pass at points (0, 1) and (40, 11057332.32). h(x) = 276434.283*x + 2 fulfill the requirement that h(x) is greater than f(x), for all x such that 0 ≤ x ≤ 40, but f(41) > h(41), because at the next point, the exponential function will growths faster than linear function (see figure).
