Answer:
A rational expression that has the nonpermissible values 
and 
is 
.
Step-by-step explanation:
A rational expression has a nonpermissible value when for a given value of 
, the denominator is equal to zero. In addition, we assume that both numerator and denominator are represented by polynomials, such that:
(1)
Then, the factorized form of 
must be:
(2)
If we know that 
, then the rational expression is:
(3)
A rational expression that has the nonpermissible values and is .
9514 1404 393
Answer:
3
Step-by-step explanation:
Vertical angles share a vertex point, and have opposite rays for sides. In short, they are across the point of intersection from each other. Vertical angles do not have a common side (they are <em>not</em> adjacent).
The first part of the problem is to identify angle NCA. That is shown in red in the attachment. The vertical angle is across the point of intersection. It is angle 3.
Graph and equation both shows the proportional comparison between two quantities
for example, equation y = 4x, this means, the value of 'y' will always be 4 times the value of 'x'
More complex equation such as y = 3x + 5, means that the value of 'y' equals to 5 more triples of value of 'x'
Another example is the conversion graph attached below, it shows the relationship between kilometers and miles. For example, we want to find out how many miles are in 10 kilometers, we would draw a line from the point that shows 10 km towards the graph, then across from the graph to miles, and we'd get a reading of 12 miles.
f(x) = -720h + 10080
10080 is the total amount of water in the pool, 720 is the amount of water you lose each hour.
"h" is the number of hours the pool has been draining, and since you know the pool has been draining for 12 hours, you can plug in 12 for "h".
f(x) = -720h + 10080
f(x) = -720(12) + 10080
f(x) = -8640 + 10080
f(x) = 1440
After 12 hours of draining, 1440 is the amount of water left in the pool. (I don't know the units [ex: gallons, etc.])
