This is an example of a piecewise defined function. It means that the function has not a unique formula to represent it, but it depends on "where" you want to compute it.
So, if you choose any input
, you have two alternative:
- If
(i.e., if you've chosen any input that is not 3), the output will be the opposite of the input you've chosen (
) - If
, the ouput will be -1.
So, let's forget about
for a moment. For any input
you choose, the answer is
. The graph of this function is the bisector of the second and fourth quadrant.
Now remember that there is our special case: you have to "carve a hole" in our line, at
, and assing to this point the value -1, instead of what we would expect, i.e. -3.
So, the graph of this function is the line
, except for one point (
), where we reassign the value to be -1.
Answer:
D
Step-by-step explanation:
It is the only one with a pattern. Hope this helps!!
This is probably in the context of a discussion of significant figures and accuracy.
When we record a measurement of 4.15 cm with two significant figures, that means we believe the exact value is in the range from 4.145 cm to 41.155 cm
Similarly 7.34 really means between 7.335 and 7.345 cm.
The minimum area rectangle is

The maximum area rectangle is

Choice A
Answer:
x = 5
Step-by-step explanation:
(7x + 16) = 90 - 39
7x + 16 = 51
7x = 51 - 16 = 35
x = 5
I think the question is
Find the value of c so that (x-5) is a factor of the polynomial

The other factor is going to be some quadratic. We can say a few things about its coefficients but let's start by saying in general it's



Equating respective coefficients,




so we get



Answer: -37
Check:
