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Sedbober [7]
3 years ago
7

Find Vertical Asymptote(s) for y= (4x^2 +1) / (x^2 -1)

Mathematics
1 answer:
Novay_Z [31]3 years ago
6 0

Answer:

Vertical asymptotes are at x=-1\ and\ x=1.

Step-by-step explanation:

The rational function is given as:

y=\frac{4x^2+1}{x^2-1}

Vertical asymptotes are those values of x for which the function is undefined or the graph moves towards infinity.

For a rational function, the vertical asymptotes can be determined by equating the denominator equal to zero and finding the values of x.

Here, the denominator is x^2-1

Setting the denominator equal to zero, we get

x^2-1=0\\x^2=1\\x=\pm \sqrt{1}\\ x= -1\ and\ x = 1

Therefore, the vertical asymptotes occur at x=-1\ and\ x=1.

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A house on the market was valued at $263,000. After several years, the value increased by 19% By how much did the house's vaule
VARVARA [1.3K]

The house's value increased by $49,970. The current value of the house is $312,970.

Step-by-step explanation:

Step 1:

The house was valued at $263,000 and this value increased by 19%. So we need to calculate how much 19% of $263,000 is.

To do so we convert the 19% into a fraction by dividing it by 100 and multiplying it with the house's value.

19% of $263,000 = \frac{19}{100} (263,000) = 0.19(263,000)=49,970.

So the value of the house increased by $49,970 in several years.

Step 2:

To calculate the current value, we add the increased value to the original value.

The current value = the past value + The increased value,

The current value =263,000 + 49,970 = 312,970.

So the current value of the house is $312,970.

3 0
4 years ago
Find the measure of angles T and V.
koban [17]

W is 90

Full equation

90+ 2x +3x =180

5x = 180-90

5x = 90

X= 90/5

X= 18

T = 3 (18)

T= 54

V=2(18)

=36

7 0
3 years ago
Select the correct answer.<br> if f(x) = x^1/2– x and g(x) = 2x^3 –x^1/2-x <br> find f(x) – g(x).
Igoryamba

f(x) - g(x) =  -2x^{3}+2x^{1/2}

<u>Step-by-step explanation</u>:

<u>Given</u> :

  • f(x) = x^{1/2} -x
  • g(x) = 2x^{3} -x^{1/2} -x

f(x) - g(x) = (x^{1/2} -x) - ( 2x^{3} -x^{1/2} -x)

⇒ (x^{1/2} -x-2x^{3}+x^{1/2} +x)

⇒ -2x^{3}+2x^{1/2}

f(x) - g(x) =  -2x^{3}+2x^{1/2}

6 0
3 years ago
What is 5.6 as a fraction or mixed number in simplest form
kherson [118]
It would have to be 5 60/100

(5 wholes and sixty out of a hundred)
4 0
4 years ago
Read 2 more answers
Mary bought K stamps for 3 dollars. How much does one stamp cost?
Bas_tet [7]

Answer: 3/K

Step-by-step explanation:

From the question, we are informed that Mary bought K stamps for 3 dollars and we are told to find the cost of one stamp.

Number of stamps bought = K

Cost of K stamps bought = 3 dollars

Cost of ones stamp = Cost of stamps bought ÷ Number of stamps bought

= 3/K

Therefore, the cost of one stamp is 3/K

7 0
4 years ago
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