simplify 1/x-10 / 9x/x2-9x-10

The vertical asymptotes x = - 2, 2 and Horizontal asymptotes y = 3

Option A is the correct answer.

Function are mathematical statement which links an independent variable to dependent variable.

It always comes with a defined domain and range.

The equation mentioned is incorrect in the question w.r.t. to the solutions mentioned, The right equation is

[tex]\rm f(x) = \dfrac{3 x^2}{x^{2}-4}[/tex]

This function can also be written as

[tex]\rm f(x) = \dfrac{3 x^2}{x^{2}-2^2}\\\\\rm f(x) = \dfrac{3 x^2}{(x+2)(x-2)}[/tex]

Vertical asymptotes are defined when the denominator of a rational function tends to zero.

To find the equation/s let the denominator equal zero.

Denominator tends to zero for x = -2 and x = +2

Horizontal Asymptote is when the function f(x) is tending to zero.

for x = +∞ and x = - ∞

Let the rational function [tex]f(x)= \dfrac{mx^a}{nx^b}[/tex]  where  and a and b are degree of numerator and denominator.

If a < b , then the y axis y = 0 is a horizontal asymptote.

If b = a then horizontal asymptote is the line y = p/q

Here the value is b = 2 and a = 2

Since b = a the horizontal asymptote is the line

y = m/n  where m = 3 and n = 1

Therefore y = 3

So , vertical asymptotes x = - 2, 2

Horizontal asymptotes y = 3

Option A is the correct answer.

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Answer:

A

Step-by-step explanation:

just took the test

Answer:

19

Step-by-step explanation:

Answer:

20.375

Step-by-step explanation:

To calculate the mean, in this situation, you first add up the game scores and divide it by the amount of games.

So, first we add 24+17+28+19+23+20+13+19 = 163

Because there are 8 games, we do 163 / 8 = 20.375

or 20.4 to 1dp

Hope this helped! If anything requires clarification, don't hesitate to ask me. I can assure you this is the right answer.

- profparis

answer send in this photo there is answer any doubt you can ask again

Answer:

either x = 1.75 or x = 700 , question wasn't clear

Step-by-step explanation:

Because you put the x in front of 20 , you might be meaning x/20 (second answer listed)? Or, you put the variable on the wrong side of 20. (first answer listed)

If you meant to type 20x

35 = 20x

÷20   ÷20     *

1.75 = x

*divide both sides by 20 to isolate x

x = 1.75

(x = [tex]\frac{35}{20}[/tex])

--------------------------------------------------------------------------

If you meant to type x/20

35 = [tex]\frac{x}{20}[/tex]

·20   ·20       *

700 = x

*multiply both sides by 20 to isolate x

700 = x

By using trigonometric relations, we will see that the angle of elevation must be 55°.

We can see this as a right triangle, where one cathetus measures 1250ft (altitude) and the other cathetus measures 875ft.

The angle of elevation is the angle such that the adjacent cathetus is the one measuring 875ft.

Then we can use the relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

tan(a) = 1250ft/875ft

To find the angle of elevation, we can use the inverse tangent function:

a = Atan(1250ft/875ft) = 55°

The angle of elevation must be 55 degrees.

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Answer:

One of the problems humans have made is a large amount of pollution.

And so some of the ways we can fix this is;

1- Using electric cars.

2- Using reusable packaging.

3- For the final one you could use stuff that easily and quickly to break down naturally materials.

Step-by-step explanation:

Answer:

y = 7x + 6

Step-by-step explanation:

The general equation for a line in slope-intercept form is:

y = mx + b

In this form, "m" is the slope and "b" is the y-intercept. Remember, the y-intercept is the y-value when x = 0. As such, the point (0,6) gives you the y-intercept.

You have been given the slope (7) and the y-intercept (6). Therefore, you can just substitute these values in for their variables to determine the equation of the line.

slope = m = 7

y-intercept = b = 6

y = mx + b

y = 7x + 6

Answer: Y = 6  1/2

Step-by-step explanation: Let's begin,

step 1) Isolate the variable by dividing each side by factors that don't contain the variable.

Then, Exact Form:

y = 13/2

Decimal Form:

y = 6.5

Mixed Number Form:

y = 6  1/2

Answer:

-6,-4

Step-by-step explanation:

if you have to evaluate its 4

and there is 2 solutions

Using proportions, it is found that both spaces have the same brightness, as both have 3 candles per m².

The correct question is as given below:-

Nayeli lights a 4 square meter space with 12 candles. Citlali lights a 10 square meter space with 30 of the same type of candles. Whose space is lit brighter? Choose 1 answer: help me im graded at this

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

For Nayeli and Citlali, the rate of candles per m² is given by:

N = 12/4 = 3 candles per m².

C = 30/10 = 3 candles per m².

Hence both spaces have the same brightness, as both have 3 candles per m².

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Answer:

4

Step-by-step explanation:

1 g = 1,000 mg

1,000/250 = 4

Answer:

9/21

= 1/7

Step-by-step explanation:

ratio means the comparison of two things

Answer:

C. 4, -2 1/2

Step-by-step explanation:

(x,y)

its kinda easy

Answer: C

Step-by-step explanation:

The probability of drawing an ace will be 8 / 16575.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability will be calculated as follows:-

P = [tex]\dfrac{4}{52}\times \dfrac{4}{51}\times\dfrac{4}{50}[/tex]

P = [tex]\dfrac{8 }{ 16575}[/tex]

Therefore the probability of drawing an ace will be 8 / 16575.

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The value of the sum, difference and composite function a[b(x)] are 19x - 8, -5x + 28 and 84x - 136 respectively

Given the following functions a(x) = 7x + 10 and b(x) = 12x - 18

Take the sum

(a+b)(x) = a(x) + b(x)

(a+b)(x) = 7x + 10 + 12x - 18

(a+b)(x) = 19x- 8

Take the difference

(a-b)(x) = a(x) - b(x)

(a-b)(x) = 7x + 10 - 12x + 18

(a-b)(x) = -5x + 28

For the composite function a[b(x)].

a(12x- 18) = 7(12x-18) - 10

a[b(x)] = 84x - 126 - 10

a[b(x)] = 84x - 136

Hence the value of the sum, difference and composite function a[b(x)] are 19x - 8, -5x + 28 and 84x - 136 respectively

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The measures of central tendency for this data set are as follows:

In Mathematics, there are three (3) main measures of central tendency and these include the following:

For the mean, we have:

Mathematically, the mean for this data set would be calculated by using this formula:

Mean = [F(x)]/n

For the total number of data, we have:

F(x) = 0 + 1 + 1 + 1 + 2 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7

F(x) = 71

Substituting the parameters into the formula, we have:

Mean = [F(x)]/n

Mean = 71/20

Mean = 3.55.

For the median, we have:

First of all, we would order the data from lowest to highest and then determine the median as follows:

Data = {0, 1, 1, 1, 2, 2, 3, 3, 3,} 3, 4, {4, 4, 5, 5, 5, 6, 6, 6, 7}

Median = {3 + 4}/2

Median = 7/2

Median = 3.5.

A mode refers to the most frequently occurring number in a data set. Thus, the mode for this data set is equal to 3.

In conclusion, a box plot of the measures of central tendency for this data set is shown in the image attached below.

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Answer:

5%

Step-by-step explanation:

The first 20 single digit first numbers are 2,3,5 and 7. Thus they are four.

So next we calculate the percentage:

⇒ 4  ×  100% = 1  × 100%  =  5%

   20                20

Answer:

Step-by-step explanation:

Note

I think the question means "What do you multiply -26 by to get - 468

call the number that you need x

x * -26 = - 468                        Divide both sides by - 26

-26x/-26 = - 468/ - 26           There are 2 minus signs on the right. They cancel.

x = 18

Conclusion

When you multiply 18 * -26 the answer is --468

Answer: 18

The probability that a student has a dog given that they do not have a cat is 1/14.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

In a class of 28 students, 21 have a cat and 9 have a dog.

There are 7 students who have a cat and a dog.

The probability that a student has a dog given that they do not have a cat

= 2/ 28

= 1/14

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Explanation:

[tex]\bf point \ slope \ form: y-y_{1}=m\left(x-x_{1}\right)[/tex]

Find the slope:      given points: (-4, 3), (-3, -1)

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Insert values

[tex]\rightarrow \sf slope: \ \dfrac{-1-3}{-3-(-4)} =-4[/tex]

Equation in point slope form:

[tex]\sf\rightarrow y - 3 = -4(x - (-4))[/tex]

[tex]\sf\rightarrow y - 3 =-4(x + 4)[/tex]

Additional, in slope intercept form:

[tex]\sf\rightarrow y = mx + b \quad where \ 'm \ is \ slope' \ and \ 'b \ is \ y-intercept'[/tex]

[tex]\sf\rightarrow y = -4 x - 16 +3[/tex]

[tex]\sf\rightarrow y = -4x -13[/tex]

Answer: 24 ft

Step-by-step explanation:

By the Pythagorean theorem,

[tex]7^{2}+x^{2}=25^{2} \\ \\ 49+x^{2}=625 \\ \\ x^{2}=576 \\ \\ x=\boxed{24 \text{ ft}}[/tex]

The area of the decagon is 1573.39 square meters

The given parameters are:

The area of a decagon is calculated using:

[tex]A = \frac 52s^2\sqrt{5 + 2\sqrt 5[/tex]

Substitute 14.3 for s

[tex]A = \frac 52 * 14.3^2\sqrt{5 + 2\sqrt 5[/tex]

Evaluate the exponent

[tex]A = \frac 52 * 204.49\sqrt{5 + 2\sqrt 5[/tex]

Evaluate the product and the roots

A = 1573.39

Hence, the area of the decagon is 1573.39 square meters

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The expression is

See

Its distributive property which states that

Option A

Answer:

3/4 cups

Step-by-step explanation:

3 1/2 divided by 2

Answer:

The experimental probability is 4%

Step-by-step explanation:

Step-by-step explanation:

3x + y = 8.4

2x + 2y = 10.08

x + y = 5.04

y = 5.04 - x

we use this then in the first equation

3x + 5.04 - x = 8.4

2x = 3.36

x = 3.36/2 = $1.68

y = 5.04 - x = 5.04 - 1.68 = $3.36

blueberries cost $3.36 per pound.

A function on a graph to figure it out you can do the line test where you draw a line through the graph and if the line touches two points its not a function. With this in mind bottom right is for sure one and the top left looks like one but i cant really tell...

Step-by-step explanation:

see the attachment..........

Answer:

A=144cm2,B=33cm2,C=18cm2,D=21.98cm2

Step-by-step explanation:

A=12*12

B=11*3

C=1/2*4*9

D=π*7cm2. (π = 3.14