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fomenos
4 years ago
10

VA stands for vertical asymptote and HA stands for horizontal asymptote. I have no clue what that means and I don't know what a

hole is either

Mathematics
1 answer:
Yanka [14]4 years ago
5 0
A VA is a vertical line that an equation will approach but never touch. 

To solve for a VA take the denominator and set it equal to zero because a number divided by zero is undefined. (You can check this on a calculator by taking 2/0, you will get error)

For this equation set x+4=0, solve for x, you will get x=-4 as your VA

A HA is similar since it is a horizontal line that an equation approaches but never touches.

To solve for an HA I learned a rule called the BB rule or B00bie Butt rule. I know it is silly but it is easy to remember. Here are three examples:
(1) 2x^2/x^2
(2) 2x/x^2
(3)2x^2/x
To solve you look at the degree of the equation.
(1) This has the same degree on top and bottom (x^2) so you take the leading coefficient (2/1). HA=2
(2) This has a higher degree on the denominator (butt) so it is a big honking zero. HA=0
(3) This has a larger degree on top (b00bie) so it has no asymptote. Again it's silly but I think if the "b00bies" are too big they are gonna fall over and isn't going to work. HA=DNE

For yours you have the degree x/x which are the same so the leading coefficiant (numbers in front of variable) equals 1. HA=1

Holes are points on the equation that are undefined. Yours doesn't have one but on a problem like:
[(x+3)(x-3)]/(x-3) you can cross out the (x-3) on top and bottom which makes a hole. What ever you take out, solve for x when equal to 0:
x-3=0
x=3
Hole at x=3

I know it is wordy but I hope this helps!
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6 0
3 years ago
What is the intersection of y=7 and y=1\2x+6
kotegsom [21]
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and y=1/2x+6, is in y=mx+b form where m=slope and b=yintercept so

to find the intersection, yo just find when both sentances are correct so

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8 0
3 years ago
The state of New Jersey makes approximately $1.55 billion annually from tolls of the $1.55 billion about 3/4 comes from tolls on
Rama09 [41]

Percent of turn pike is 75% and percent of parkway is 25%.

<u>Solution:</u>

Given, The state of New Jersey makes approximately $1.55 billion annually from tolls of the $1.55 billion

About \frac{3}{4} comes from tolls on the turnpike

Remaining \frac{1}{4} comes from tolls on the parkway  

<em><u>To find the percent of the total revenue from turnpike:</u></em>

\begin{array}{l}{\text { Percent of turnpike }=\frac{\text { amount from parkway }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{3}{4} \text { of total revenue }}{\text { tot al revenue }} \times 100} \\\\ {=\frac{\frac{3}{4} \times \text { total revenue }}{\text { total revenue }} \times 100} \\\\ {=\frac{3}{4} \times 100=3 \times 25=75 \%}\end{array}

<em><u>To find the percent of the total revenue from parkway:</u></em>

\begin{array}{l}{\text { Percent of parkway }=\frac{\text { amount from parkway }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{1}{4} \text { of total revenue }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{1}{4} \times \text { total revenue}}{\text { total revenue }} \times 100} \\\\ {=\frac{1}{4} \times 100=25 \%}\end{array}

<em><u>Summarizing the results:</u></em>

Percent of turn pike is 75%

Percent of parkway is 25%

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What type of symmetry does a regular pentagon have
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Just a regular pentagon has 5 sides. and also has 5 lines of symmetry.

So if a shape has 7 sides it will have 7 lines of symmetry.

Its always going to be the same number.

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