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Digiron [165]
3 years ago
8

Create an original rational function that has at least one asymptote (vertical, horizontal, and/or slant) and possibly a removab

le discontinuity. List these features of your function: asymptote(s) (vertical, horizontal, slant), removable discontinuity(ies), x-intercept(s), y-intercept, and end behavior.
Mathematics
1 answer:
Phoenix [80]3 years ago
3 0
<span>Since f has a vertical is at x = 2, then the denominator of the rational function contains the term (x - 2). Function f has the form. f(x) = g(x) / (x - 2) g(x) which is in the numerator must be of the same degree as the denominator since f has a horizontal asymptote. Also g(x) must contain the term (x + 5) since f has a zero at x = - 5. Hence f(x) = 3 (x + 5) / (x - 2)</span>
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Step-by-step explanation:

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Percent word problems Problem Luke and Matthew ran a lemonade stand on Saturday. They agreed that Matthew would get 60\%60%60, p
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Answer:

15 dollars.

Step-by-step explanation:

That would be 60% of 25

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= 15 dollars.

4 0
3 years ago
The point (p,q) is on the graph of values from a ratio table. What is another point on the graph?
Anestetic [448]

In the previous activities, we constructed a number of tables.  Once we knew the first numbers in the table, we were often able to predict what the next numbers would be.  Whenever we can predict numbers in one row of a table by multiplying numbers in another row of a table by a given number, we call the relationship between the numbers a ratio.  There are ratios in which both items have the same units (they are often called proper ratios).  For example, when we compared the diameter of a circle to its circumference, both measured in centimeters, we were using a same-units ratio.  Miles per gallon is a good example of a different-units ratio.  If we did not specifically state that we were comparing miles to gallons, there would be no way to know what was being compared!

When both quantities in a ratio have the same units, it is not necessary to state the unit.  For instance, let's compare the quantity of chocolate chips used when Mary and Quinn bake cookies.  If Mary used 6 ounces and Quinn used 9 ounces, the ratio of Mary's usage to Quinn's would be 2 to 3 (note that the order of the numbers must correspond to the verbal order of the items they represent).  How do we get this?       One way would be to build a table where the second row was always one and a half times as much as the first row.  This is the method we used in the first two lessons.  Another way is to express the items being compared as a fraction complete with units:

<span>6 ounces
9 ounces</span>Notice that both numerator and denominator have the same units and thus we can "cancel out" the units.  Notice also that both numerator and denominator have values that are divisible by three.  When expressing ratios, we generally treat them like fractions and "reduce" or simplify them to the smallest numbers possible (fraction and colon forms use two numbers, as a 3:1 ratio, whereas the decimal fraction form uses a single number—for example, 3.0—that is implicitly compared to the whole number 1).<span>
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8 0
3 years ago
Read 2 more answers
8. The travel members are voting for the American city they will visit next semester: New York (N), San Francisco (S), or Chicag
fiasKO [112]

9514 1404 393

Answer:

  • plurality: San Francisco
  • plurality with elimination: New York

Step-by-step explanation:

Using the plurality method, the city with the most first-place votes wins the selection. Here, that is San Francisco, with 16 votes. Behind that is New York with 14 first-place votes.

If elimination is used, the selection with the fewest first-place votes (Chicago) is eliminated from the table, and all rows below are shifted up. Now, the first place row has 16 votes for San Francisco and 18 votes for New York.

San Francisco wins the plurality election.

New York wins the plurality-with-elimination election.

5 0
2 years ago
Read 2 more answers
Christopher drove 360 miles this week. last week he drove 480 mile. what is the percent decrease in the number of miles christop
Harlamova29_29 [7]
Last week, Christopher drove 480 miles
This week, Christopher drove 360 miles

The difference in miles this week compared to last week = 480 - 360 = 120 miles.

The percentage of decrease in miles compared to last week's  = (Difference in miles ÷ Total miles last week) multiplied by 100 = (120 ÷ 480) x 100 = 0.25 x 100 = 25%
8 0
3 years ago
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