Answer:
Step-by-step explanation:
We can rewrite the equation as
Notice that we have 
in both the numerator and the denominator, so it looks like we can divide it out. However, what if is 
? Then we would have 
, which is undefined. So although it looks like the numerator and denominator can be simplified, the resulting function we would get from simplification would not have the same behavior as this one (since such a function would be defined for 
, but this one is not).
A point of discontinuity refers to a particular point which is included in the simplified function, but which is not included in the original one. In this case, the point which is not included in the unsimplified function is at . In the simplified version of the function, if we plug in , we get
So the point is our only point of discontinuity.
It's also important to distinguish between specific points of discontinuity and vertical asymptotes. This function also has a vertical asymptote at 
(since it causes the denominator to be 0), but the difference in behavior is that in the case of the asymptote, only the denominator becomes 0 for a specific value of 
Answer: <em>10 + 9 </em>
Step-by-step explanation:
<em>1. Distribute: 3(6+3) - (8-x) = 18 + 9 - (8)</em>
<em>2. Eliminate redundant parentheses: 18 + 9 - (8) = 18 + 9 - 1 ⋅ 8</em>
<em>3. Multiply the numbers: 18 + 9 - 1 ⋅ 8 = 18 + 9 - 8 </em>
4. Combine like terms: 18 + 9 - 8 = 10 + 9
<em>⋅</em>
<em />
Number one is A (2.) Bill should ask Sam to pay $407.97 as interest for the cash advance (3)<span>a) 213.85 sorry I don't know number four =(</span>
Answer:
Brooke
Step-by-step explanation:
We can solve this by figuring out how far each person runs a second
Stephanie runs 12 feet a second so nothing needs to be done here
Liz runs 306 feet in 38 seconds. To solve for the distance ran in 1 second we can divide (306/38)= around 8 feet
Will runes 1 mile in 491 seconds. A quick search will tell use that 1 mile is equal to 5280 feet and 5280/491 = 10.75
Brooke runs 851 feet in 1 minute or 60 seconds. 851/60 =14.18
Brooke obviously runs the furthest in one second and therefore she's the fastest runner
<span>So we have a cube with sides numbered form 1 to six and we want to know what is the experimental probability of rolling either a 3 or a 6. So the probability of rolling any number from 1 to six is 1/6 because a cube can fall only on one side. But we need either 3 or a 6 so the probability of the cube falling on a side we want is double of 1/6 and that is 2/6=1/3.</span>
