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kakasveta [241]
3 years ago
10

What are the vertical asymptotes of the function f(x) = 4x+8/x^2+3x-4

Mathematics
2 answers:
FinnZ [79.3K]3 years ago
8 0

Answer:

vertical asymptote at x=-4, 1

Step-by-step explanation:

f(x) =\frac{4x+8}{x^2+3x-4}

To find vertical asymptote we set the denominator =0 and solve for x

x^2+3x-4=0

Product is -4 and sum is +3

WE find out two factors whose sum is +3 and product is -4

4 \ times \ (-1)=-4

4-1= 3

x^2+3x-4=0

(x+4)(x-1)=0

Set each factor =0 and solve for x

x+4=0, x=-4

x-1=0, x=1

vertical asymptote at x=-4, 1

Gemiola [76]3 years ago
6 0
Vertical asymptotes occur  when the denominator = 0.

f(x) = 4x + 8 / (x + 4)(x - 1)

when x = -4 and x = 1 the denominator = 0

so the required asymptotes are x = -4 and x = 1
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a rectangle is made by joining two squares adjacent to each other as shown below. if one squared has an area of 144 squared cent
liberstina [14]

Answer:

Hello! After reading your question I have deduced that the correct answer is 288² cm.

Step-by-step explanation:

The way I came to this conclusion was as follows:

Firstly:

If said rectangle is two squares put side by side (adjacent), then a valid assumption is that both squares are the same size.

This is because all four sides of a square have to be equal.

Thus if the two squares are joined together on one side, then all the other sides of both the squares will be the same length.

Thus both of the squares are going to be the same size, so they will have the same area.

Secondly:

If the area of one square is 144² cm then the area of the other square should also be 144² cm.

Thus if you combine the areas of both the squares, that make up the rectangle, you are left with the area of the rectangle being 288² cm.

I hope this helped!

3 0
2 years ago
Complete the pattern 9.5 950 95,000
Sati [7]
<span>9,500,000 is the next number in the pattern. Each time you multiply the number on the left by 100 to get the number on the right.</span>
4 0
3 years ago
Kevin had six nickels and 4 dimes in his pocket. If he took out one coin and then a second coin without replacing the first coin
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Alright so A is 6/10 * 5/9 = 1/3
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4 0
3 years ago
A family has a combined monthly income of $2580. Their food budget is $310/month. What percentage of their monthly income is bud
stellarik [79]

So you have 318/2580 (since the top is the amount of money they use for food and the bottom is the total). You will want to divide it into 2 so 318/2 and 2580/2. Then you will get 159/1290. The divide 159/1290 with 3. So you will get 52/430. It may seem that you will need to divide 430 with 52 now. Once you get that, you will get the decimal 0.123255814. (I used a calculator). Then Move the decimal twice to the right to make that whole percentage. You will get 12 as you whole number (Ignoring the fact you have 3255814 as your remaining.). So the answer for that is….

12%!!

6 0
3 years ago
Joan works on commission for a furniture store. She gets a base pay of $80 a day plus 4 percent of the value of any merchandise
Murljashka [212]

Answer:

Total amount earned = $84

Step-by-step explanation:

The correct expression is

Total amount earned = 80 + 4% of (t - 400)

= 80 + 0.04(t - 400)

where,

t = her sales total in dollars

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Total amount earned = 80 + 0.04(t - 400)

= 80 + 0.04(500 - 400)

= 80 + 0.04(100)

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= 84

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3 0
3 years ago
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