f(x) 5x/x-2

Identify the vertical and horizontal asymptotes of each rational function.

I need help understanding how to solve problems like this.

Answer:

m<OXP = 2(35) + 5

= 75 degrees

Step-by-step explanation:

x-5 + 2x+ 5 + 75 = 180

3x + 75= 180

3x= 105

x= 35

Hope this helps

Answer:

Angle OXP = 105 degrees.

Step-by-step explanation:

Let's start figuring out the angles in the triangle.  We know that the sum of the interior angles of a triangle add up to 180.

(x - 5) + (2x + 5) + 75 = 180

x - 5 + 2x + 5 + 75 = 180

3x = 105

x = 35

So angle FXO = 2x + 5 = 2(35) + 5 = 70 + 5 = 75

We know that angle FXO and OXP are supplementary angles, so they add up to 180 degrees as well.

OXP = 180 - 75 = 105

Answer:

c. bisector

Explanation:

"There are, however, three words in geometry that are not formally defined. These words are point, line and plane, and are referred to as the 'three undefined terms of geometry'"

If point, line, and plane are all undefined terms in Euclidean geometry, then that only leaves one answer left, c. bisector.

Answer:

what are the excersises

Step-by-step explanation:

Answer:

f(−1) = ✔ 2 f(1) = ✔ 6f (2) = ✔ 11

Step-by-step explanation:

Answer:  \(W \leq 1,800\)

Step-by-step explanation: the inequality would be shown as less than or equal to, because there could either be less than 1,800 pounds in the elevator or there could be exactly 1,800 pounds.

hope this helps

Answer:

B. x

Step-by-step explanation:

The answer would be graph x. A function must be that one x value should only have one y value. graph w doesn't work since when you plug in 0, you get two y's. same thing with z. Y doesn't work since at x value of 3, it curves back so x value 2 has 2 y's. X is the only one that each x value has only one y.

Answer:

X

Step-by-step explanation:

For a relationship to be a function, every input has exactly one output, so for every x value there is only one value.

If you look at answer's w and z for x=1 there is two y values, therefore they are not functions, letter Y is tricky. Even though every x value has only one y value, If you were to extend the graph x=0 would have more than one y values.

That leaves X.  If you extend the graph of X every x value will only have one y value so it is a function

Step-by-step explanation:

always remember Pythagoras for right-angled triangles :

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90° angle), a and b are the legs.

this principle must be always fulfilled, otherwise it is not a right-angled triangle.

when your have a triangle problem (particularly for a right-angled triangle) with only side information, there is a high chance that you need to use Pythagoras.

in our case

(2×sqrt(3))² = x² + (sqrt(3))²

4×3 = x² + 3

12 = x² + 3

x² = 9

x = 3

that's all.

FYI : sqrt(x²) has actually 2 solutions : -x and +x, as both are squared equal to x².

but a negative number does not make any sense for general side lengths and similar things. so, the positive solution here is the only valid one.

Answer:

3 of them. Hope this helps!

Step-by-step explanation:

The equation of the ellipse 36x² + 4y² + 216x - 16y + 196 = 0 can be written in standard form as ((x + 3)²)/16 + ((y - 1)²)/9 = 1.

To express the equation of the ellipse in standard form, we need to rewrite it in a specific format: ((x - h)²)/(a²) + ((y - k)²)/(b²) = 1, where (h, k) represents the center of the ellipse, and a and b represent the lengths of the semi-major and semi-minor axes, respectively.

To begin, we'll group the terms involving x and y, completing the squares to create perfect squares. Rearranging the terms, we have:

36x² + 4y² + 216x - 16y + 196 = 0

(36x² + 216x) + (4y² - 16y) + 196 = 0

36(x² + 6x) + 4(y² - 4y) + 196 = 0.

Next, we'll complete the squares within the parentheses:

36(x² + 6x + 9) + 4(y² - 4y + 4) + 196 = 36(9) + 4(4)

36(x + 3)² + 4(y - 2)² + 196 = 324 + 16

36(x + 3)² + 4(y - 2)² = 340

((x + 3)²)/16 + ((y - 2)²)/85 = 1.

The equation is now in standard form. The center of the ellipse is (-3, 2), the semi-major axis is 4, and the semi-minor axis is √85. Therefore, the equation of the ellipse in standard form is ((x + 3)²)/16 + ((y - 2)²)/85 = 1.

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The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). We can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

The UC Berkeley Institute of Governmental Studies conducted a poll in 2019 with 4,527 respondents in California, where 51.7% of them reported considering moving out of the state. The objective is to calculate a 95% confidence interval for the proportion of all Californians who considered moving out of state, given the sample size and proportion.

B. The formula to calculate the confidence interval for a proportion is:

CI = p^ ± z* √[(p^(1-p^))/n]

Where p^ is the sample proportion, n is the sample size, and z* is the critical value of the standard normal distribution for the desired confidence level. For a 95% confidence level, z* = 1.96.

Substituting the given values into the formula, we get:

CI = 0.517 ± 1.96 * √[(0.517*(1-0.517))/4527]

CI = 0.517 ± 0.013

The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). Therefore, we can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

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Taking into account the definition of a system of linear equations,  the cost of each small candle and each large candle 3.08 and 6.52

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

A solution to a linear equation with two unknowns x and y consists of a pair of numbers: an x-value and a y-value, which satisfy the equation. In a broader sense, a solution to a system of two or more linear equations is a solution that simultaneously satisfies all the equations in the system.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

6s + l= 25

5s + 3l= 35

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "l" from the first equation:

l= 25 - 6s

Substituting the expression in the second equation:

5s + 3×(25 -6s)= 35

Solving:

5s + 3×25 -3×6s= 35

5s + 75 - 18s= 35

5s - 18s= 35 - 75

-13s= -40

s= (-40)÷(-13)

s= 3.08

Remembering that l= 25 - 6s, you get:

l= 25-6×3.08

l= 6.52

Finally, the cost of each small candle is 3.08 and the cost of each large candle is 6.52

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Answer:

The smaller number is: 8

The bigger number is: 20

Step-by-step explanation:

Ok let's say the two numbers are x and y.

x is the smaller one, and y is the bigger one.

This is the equation to find x:

x + 4y = 88

x + y = 28

x - x + 4y - y = 88 - 28

3y = 60

y = 20

x + 20 = 28

x = 8

T\(the vector 2a - 2b would be (2a1 - 2b1)i + (2a2 - 2b2)j + (2a3 - 2b3)k.\)he vector 2a - 2b would be (2a1 - 2b1)i + (2a2 - 2b2)j + (2a3 - 2b3)k.

Let's first express them in the component form:
1. Vector 2a: If vector a is represented as (a1, a2, a3), then vector 2a would be (2a1, 2a2, 2a3).
2. Vector -2b: If vector b is represented as (b1, b2, b3), then vector -2b would be (\(-2b1, -2b2, -2b3).\)
3. Vector 2a - 2b: Subtract the components of vector 2b from vector 2a. So, (\(the vector 2a - 2b would be (2a1 - 2b1)i + (2a2 - 2b2)j + (2a3 - 2b3)k.\)).

Now, let's express them using standard unit vectors:
1. Vector 2a: In terms of standard unit vectors, vector 2a would be written as 2ai + 2aj + 2ak.
2. Vector -2b: In terms of standard unit vectors, vector -2b would be written as -2bi - 2bj - 2bk.
3. Vector 2a - 2b: Subtract the components of vector 2b from vector 2a.
To summarize:
- In component for

  - 2a

= \(2ai + 2aj + 2ak - -2b\)

=\(-2bi - 2bj - 2bk  - 2a - 2b\)

= \((2a1 - 2b1)i + (2a2 - 2b2)j + (2a3 - 2b3)k.\)

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B. Iliana is correct because Henry included a fraction. Fractions are not integers.

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

2x-12

we substitute because already know the value of x

-2(3)-12

-6-12

-18

The points are; (7/2, -1/2).

Now the tangent line is given as;20x 4y = 1. When we rewrite it in the slope intercept form, we have the equation as; y = 1 - 20x/4 or y = 1/4 - 5x.

Then to obtain the slope of the curve we have; y = 19 - 2x

dy/dx = 2

Using the relation;

m1m2 = -1

m2 = -1/2

Hence;

y = 1/4 - 5(-1/2)

y = 1/4 + 5/2

y = 7/2

Thus the points are; (7/2, -1/2)

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Answer:

169.65 cm^3

Step-by-step explanation:

Answer:

Step-by-step explanation:

P(green) is asking what are the chances that if your stuck your hand into the bag and grabbed a marble that it would be green. There are 3 green, 2 blue, 1 red, and 1 white marble for a total of 7 marbles. If you pull out a marble without looking you have 3 chances of 7 that it will be green. So

10. 3/7 or 3:7

Do we even have any yellow marbles? Not that I can see, so if there isn't a yellow to pull out, your chances of pulling one out is 0. So

11. 0/7 or 0

Since there are 3 green and 1 red, which is a total of 4 marbles, we have 4 out of 7 chances that the marble we pull is red or green. So

12. 4/7 or 4:7

\( \sqrt{ - 75s} \\ \\ \\ s = - 3 \\ \\ \\ \sqrt{ - 75 \times - 3 } \\ \\ \\ \sqrt{225} = 15 \: ans\)

Answer:

2x+3x=5x

Step-by-step explanation:

The reason for this answer is algebra. Since you give a full explanantion  on it I'm not sure if I answered it correctly. But here is what I think from what you gave of the question.  

The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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Answer:

$1,170

Step-by-step explanation:

Area around the pool = 20 x 30

Pool = 12 x 24

Carpet is sold $1.95 by square foot

Use formula A = bh

Plug it in: A = 20 x 30

So they need 600 sq ft of carpet.

Multiply 600 by 1.95 to get 1170

The total cost = $1,170

Answer:

$608.40

Step-by-step explanation:

Dimensions of pool: 12 ft by 24 ft

Dimensions of pool & cement walkways: 20 ft by 30 ft

The pool is a rectangle that sits inside the walkways. The area of the walkways (AW) is the area of the pool & walkways (the 20 ft by 30 ft rectangle) minus the area of the the pool (the 12 ft by 24 ft rectangle). Once we know the area of the just the walkways (AW), we multiply it by the price of the carpet too find the cost of the carpet.

area of walkways = area of pool & walkways - area of pool

AW = 20 ft * 30 ft - 12 ft * 24 ft

AW = 600 ft^2 - 288 ft^2

AW = 312 ft^2

The area of the walkways alone is 312 ft^2. Now we multiply it by the unit cost of carpet to find the cost of the carpet needed for the walkways.

cost = AW * unit rate

cost = 312 ft^2 * $1.95/ft^2

cost = $608.40

The absolute value of the slope of line A is  \(|-11| = 11.\) The absolute value of the slope of line B is   \(|-5| = 5.\) Since 11 > 5, line A is steeper than line B.

The sign of the slope indicates the direction of the line; a positive slope means the line is increasing from left to right, while a negative slope means the line is decreasing from left to right. A slope of zero indicates a horizontal line.

The slope of a line represents its steepness. The absolute value of the slope indicates the degree of steepness, regardless of whether the slope is positive or negative.

The absolute value of the slope of line A is |-11| = 11.

The absolute value of the slope of line B is |-5| = 5.

Therefore, Since 11 > 5, line A is steeper than line B.

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Answer: x>- -40

Step-by-step explanation:

Using linear functions, it is found that they will have the same amount after 8 hours.

A linear function, in slope-intercept format, is given by:

y = mx + b

In which the coefficients are described as follows:

In the context of this problem, for their earning functions, we have that:

Hence the functions are given as follows:

The number of hours after which they will have the same amount is found solving the following equation for x.

K(x) = J(x)

6 + 9x = 18 + 7.5x.

1.5x = 12

x = 12/1.5

x = 8 hours.

This problem is incomplete, hence we suppose that it asks after how many hours they will have the same amount.

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Answer:

x=25

Step-by-step explanation:

2(x-7) = 36

x-7 = 18

x = 25

:]

The probability that for one such phone number is approximately 0.344

There are 10 possible digits (0-9) for each of the last four digits of the telephone number. Therefore, there are \(10^4\)= 10,000 possible telephone numbers that can be generated using this method.

The probability that the last four digits do not include any 0s is:

P(no 0s) = \((9/10)^4\) = 0.6561

So, the probability that the last four digits include at least one 0 is:

P(at least one 0) = 1 - P(no 0s) = 1 - 0.6561 = 0.3439

Therefore, the probability that for one such phone number, the last four digits include at least one 0 is approximately 0.344 (rounded to three decimal places).

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The Number of miles 1|4|10 = Number of yards 1760|7,040|17600|

What is conversion?

A conversion factor is a number that is used to multiply or divide one set of units into another. If a conversion is required, it must be done using the correct conversion factor to get an identical value. For instance, 12 inches equals one foot when converting between inches and feet.

Here, we have

Given: There are 7040 yards in 4 miles. Complete the table to show the conversion of 1 mile to yards and 10 miles to yards.

Number of miles 1|4|10

1 miles = 1760 yards

4 miles = 4× 1760 yards

4 miles = 7040 yards

10 miles = 10×1760 yards

10 miles = 17600 yards

Hence, the number of miles 1|4|10 = Number of yards 1760|7,040|17600|

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Answer:

729.5

Step-by-step explanation:

Answer:

g = 10

Step-by-step explanation:

First, let's find the missing value of the 'C'

180 - 110 = 70 degrees

Now that we have the answer for one side, we can make an equation:

2g + 9g + 70 = 180 (area of a triangle is 180 degrees)

11g + 70 = 180

11g = 180 - 70

11g = 110

g = 110 / 11

g = 10

The value of g is 10 so we can now add them to the expression:

2g = 2(10) = 20

9g = 9(10) = 90

To make sure that you have the correct answer, add the values so that you get an answer as 180:

70 + 20 + 90 = 180

hope this helps....

From the given figure, We can notice that :

∠BCA + 110° = 180°      (Because they make a Linear Pair)

⇒  ∠BCA = 180° - 110°

⇒  ∠BCA = 70°

We know that : Sum of the Angles in a Triangle should be equal to 180°

⇒  2g° + 9g° + ∠BCA = 180°

⇒  11g° + 70° = 180°

⇒  11g° = 180° - 70°

⇒  11g° = 110°

⇒  g° = 10°

⇒  9g° = (9 × 10) = 90°

⇒  2g° = (2 × 10) = 20°

Step-by-step explanation:

Do

(4÷2×5)

first

.............