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SCORPION-xisa [38]
3 years ago
6

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.
Thank you in advance :)
Mathematics
1 answer:
harkovskaia [24]3 years ago
8 0
Since f has a vertical 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)
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A bond quoted at 93 (1/8) is equal to ___ per 1,000.00 of the face amount.
Ksju [112]
The number a bond is the percentage of the value of the bond that the bond is worth. Because the bond is quoted at 93, the bond is worth $930 per $1,000.
5 0
3 years ago
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Lisa Purchased almonds for $3.50 per pound. She spent a total of $24.50. how many pounds of almond did she purchase?
Margaret [11]

Answer:

7 pounds of almond

Step-by-step explanation:

It is $3.50 per pound.

If she spent a total of $24.50, just divide 24.50 by 3.50

\frac{24.50}{3.50} = 7

We can verify this by multiplying 3.50 by 7 which gives us 24.50

5 0
2 years ago
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What's the formula to find this?
Komok [63]
25 cubic centimeters....
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7 0
3 years ago
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A point p in the first quadrant lies on the parabola y=x^2. Express the coordinates of p as a function of the angle of inclinati
max2010maxim [7]

Answer:

  • The coordinates of the point p are:       (x,xtan\alpha )

                   

           

Explanation:

1. Name the angle of inclination of the line joining p to the origin α.

2. Find the relation between the coordinates of the point (x,y)

When you draw a line from the origin to the parabola, the intersection point, p(x,y) will have coordinates (x,y).

As per the definition of the tangent trigonometric ratio you have:

  • tan\alpha =\frac{y}{x}

From which you can clear y:

  • y=xtan\alpha =>(x,y)=(x,xtan\alpha )

Which is the expression of the coordinates of p as a function of the angle of inclination of the line joining p to the origin.

8 0
3 years ago
The table gives estimates of the world population, in millions, from 1750 to 2000. year population year population 1750 790 1900
Tems11 [23]
The poopulation exponential model is given by

P(t)=P_0e^{kt}

Where, P(t) is the population after year t; Po is the initial population, t is the number of years from the starting year; k is the groth constant.

Given that the population in 1750 is 790 and the population in 1800 is 970, we obtain the population exponential equation as follows:

970=790e^{50k} \\  \\ \Rightarrow e^{50k}=1.228 \\  \\ \Rightarrow 50k=\ln{1.228}=0.2053 \\  \\ \Rightarrow k=0.0041

Thus, the exponential equation using the 1750 and the 1800 population values is P(t)=790e^{0.0041t}

The population of 1900 using the 1750 and the 1800 population values is given by

P(t)=790e^{0.041\times150} \\  \\ =790e^{0.6158}=790(1.8511) \\  \\ =1,462

The population of 1950 using the 1750 and the 1800 population values is given by

P(t)=790e^{0.041\times200} \\  \\ =790e^{0.821}=790(2.2729) \\  \\ =1,796

From the table, it can be seen that the actual figure is greater than the exponential model values.
7 0
3 years ago
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