If is
x > 2 or x < 7 ⇒ x is any real number
If is
x > 2 and x < 7 ⇒ 2 < x < 7
A set of all numbers that are greater than 2 and less than 7.
Look at the picture.
Order of operations, the order in which to do them
pemdas
parenthasees
exponents
multiplication or division (whichever comes first)
addition or subtraction (whichever comes first)
so
inside parenthaees first
20x/5=4x
now we has
[4x*(-x)]+3
multiply
4x*-x=-4x²
now we has
[-4x²]+3
-4x²+3 is the eavlauted form
Probability of flipping either a head or a tail = 1/2
probability of flipping 6 tails in a row (1/2)*6
<span>probability of flipping at least 1 head = 1 - (1/2)*6 = 63/64 </span>
That is the best graph I can get for the equations .
In Problem 13, we see the graph beginning just after x = -2. There's no dot at x = -2, which means that the domain does not include x = -2. Following the graph to the right, we end up at x = 8 and see that the graph does include a dot at this end point. Thus, the domain includes x = 8. More generally, the domain here is (-2, 8]. Note how this domain describes the input values for which we have a graph. (Very important.)
The smallest y-value shown in the graph is -6. There's no upper limit to y. Thus, the range is [-6, infinity).
Problem 14
Notice that the graph does not touch either the x- or the y-axis, but that there is a graph in both quadrants I and II representing this function. Thus, the domain is (-infinity, 0) ∪ (0, infinity).
There is no graph below the x-axis, and the graph does not touch that axis. Therefore, the range is (0, infinity).
