Which of the following functions has a vertical asymptote at x=2, a horizontal asymptote at f(x)=1, and a root at x=−1?

A. f(x)=3x+2+1
B. f(x)=−3x−2+1
C. f(x)=3x+2−1
D. f(x)=3x−2+1

Answer:

54 and 36

Step-by-step explanation:

84

45% of 120 students chose the amusement park , then

45% of 120 = 0.45 × 120 = 54

54 students chose the amusement park

85

45% of 180 = 0.45 × 180 = 81

25% of 180 = 0.25 × 180 = 45

81 - 45 = 36

36 more students chose the amusement park than the water park

Answer:

54, 36

Step-by-step explanation:

84

45% of 120 students chose the amusement park

45% of 120 = 0.45×120=54

54 students chose the amusement park

85

45% of 180 = 0.45 × 180 = 81

25% of 180 = 0.25 × 180 = 45

81 - 45 = 36

36 students chose the amusement park than the water park

Answer:

Use simultaneous equation for this problem

y= number of adults

x = number of children

3y + 2x = 160

y + x = 60

then we double the second equation

3y + 2x = 160

2y + 2x = 120

we cancel x by elimination

3y - 2y = 160 - 120

y = 40

Step-by-step explanation:

hope this helps

The distance where the ladder is touching the building for triangle 2 is 12 ft

From the question, we have the following parameters that can be used in our computation:

Ladder 1

Distance along the ground = 12 ft

Distance touching the ladder = 8 ft

Ladder 2

Distance along the ground = 18 ft

Distance touching the ladder = x

Using proportion of similar triangles, we have

x : 18 = 8 : 12

Express as fraction

x/18 = 8/12

So, we have

x = 18 * 8/12

Evaluate

x = 12

Hence, the distance where the ladder is touching the building for triangle 2 is 12 ft

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Answer:

12?

Step-by-step explanation:

Not too sure! I am in the middle of taking the test right now though

Answer:

g=24

Step-by-step explanation:

hope this helps :)

The correct option is 'The domain of both functions is all real numbers'.

According to statement

Here, functions are f(x) = 5x and g(x) =5x

Since the domain of f(x) is, D= { x : x belongs to all real numbers.}

Therefore, Domain of f(x) is all real numbers.

Since f(x) and g(x) have the same value,

Therefore, Domain of g(x) is also the set of real numbers.

Now, range of f(x) is , R=  { 5x : x belongs to all real numbers.}

Therefore, Range of f(x) is all real numbers.

Range of g(x) is also all real numbers.

So, we can say by the above explanation, only option (1) is correct.

DISCLAIMER: The question was incomplete. Please find the full content below.

QUESTION

Keshawn is asked to compare and contrast the domain and range for the two functions.

f(x) = 5x

g(x) = 5x

Which statements could he include in his explanation? Check all that apply.

1. The domain of both functions is all real numbers.

2. The domain of f(x) is x > 5.

3. The domain of g(x) is x > 5.

4. The range of both functions is y > 5.

5. The range of f(x) is y > 0.

6. The range of g(x) is y > 0.

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Answer:

A.)  complement, 43°; supplement, 133°

Step-by-step explanation:

A compliment angle is any angle(s) that adds up to 90°

A supplement angle is any angle(s) that adds up to 180°

For compliment:

90 - 47 = 43

For supplement:

180 47 = 133

Therefore, the answer would be A.

-kiniwih426

Answer:

Step-by-step explanation:

To find the boundary of the critical region, given the type I error probability and sample size, we need to calculate the critical value using the standard normal distribution table and the formula for the sample mean.

The critical region is defined by the range of sample means that reject the null hypothesis, based on the given level of significance and the alternative hypothesis.

The critical region is the range of values of the test statistic that leads to rejection of the null hypothesis, based on a predetermined level of significance and the alternative hypothesis. To find the boundary of the critical region, we need to calculate the critical value using the standard normal distribution table and the formula for the sample mean. For a one-tailed test with alpha = 0.01 and n = 10, the critical value is 2.33, and the critical region is defined by the sample mean greater than 181.18. For a one-tailed test with alpha = 0.05 and n = 10, the critical value is 1.645, and the critical region is defined by the sample mean greater than 177.21. For a one-tailed test with alpha = 0.01 and n = 16, the critical value is 2.33, and the critical region is defined by the sample mean greater than 178.82. For a one-tailed test with alpha = 0.05 and n = 16, the critical value is 1.645, and the critical region is defined by the sample mean greater than 177.27. Therefore, the larger the sample size and the smaller the level of significance, the narrower the critical region and the higher the power of t

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Answer:

13

Step-by-step explanation:

221/17=x

13=x

Answer:

13

Step-by-step explanation:

17x13=221

The people, when matched with their importance in the fight for Civil rights, are:

Cesar Chevez will always be known for his role in founding the National Farm Workers Association, which campaigned for the rights of farmers in California. There was also Sylvia Mendez, who contributed to the ending of segregation of Hispanics in California schools.

Russell Means then established the American Indian Movement that helped many Natives and Fred Korematsu was an American - Japanese who refused to go to an internment camp in WWII.

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Answer:

Undefined

Step-by-step explanation:

We see that the domain of f is (-5,5], where ( means not included, ] means included.

Therefore, since -5 is not in the domain, the value is undefined.

Answer:

x1 = 4/3, x2 = 1/2

Value to fill in the question mark: 3

Step-by-step explanation:

The vertical asymptotes occurs when the denominator of y are 0, so the value of y goes to infinity.

So, to find the asymptotes, we need to calculate:

\(6x^{2} - 11x + 4 = 0\)

Using Bhaskara's formula. we have:

\(\Delta = (-11)^2 - 4*6*4 = 25\)

\(\sqrt{\Delta} = 5\)

\(x_1 = (11 + 5)/12 = 4/3\)

\(x_2 = (11 - 5)/12 = 1/2\)

So the value we need to fill in the question mark is 3

Answer:

K = 9

X = 7/4

Step-by-step explanation:

\( \frac{9(4x - 7)}{4x - 7} = k\)

\(9 = k\)

The result is approximately 0.839 or 83.9%.

In a newspaper report, it was mentioned that out of 2 million lie detector tests, an estimated 300,000 produced erroneous results. The probability of an erroneous result in these tests can be calculated using the given information. Let P (erroneous result) be the probability of an erroneous result in these tests.

P (erroneous result) = 300,000/2,000,000 = 0.15 Now we need to find the probability that at least one of the ten tests picked at random from these 2 million tests produced an erroneous result. Let P (at least one erroneous result in ten tests) be the probability of getting at least one erroneous result in ten tests.

P (at least one erroneous result in ten tests) = 1 - P (no erroneous result in ten tests)

P (no erroneous result in ten tests) = (1 - P (erroneous result))^10

P (no erroneous result in ten tests) = (1 - 0.15)^10

P (no erroneous result in ten tests) = 0.161

Therefore, P (at least one erroneous result in ten tests) = 1 - P (no erroneous result in ten tests)

P (at least one erroneous result in ten tests) = 1 - 0.161

P (at least one erroneous result in ten tests) = 0.839

So, the chance that at least one of the ten tests picked at random from these 2 million tests produced an erroneous result is approximately 0.839 or 83.9%.

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Answer:

h to the power of 7 im pretty sure

Step-by-step explanation:

Answer:

h^7

Step-by-step explanation:

h^6 . h

h can be written as h^1

Formula : -

a^m . a^n = a^( m + n )

Here,

a = h

m = 6

n = 1

h^6 . h^1

= h^( 6 + 1 )

= h^7

The average distribution or expected value after one round of the game is $0.75 or 75 cents.

To find the average distribution or expected value, we multiply each possible outcome by its corresponding probability and sum them up.

Given the probability distribution:

x: $0 $1 $2 $4

P(x): 1/2 1/4 1/8 1/8

We calculate the expected value (E) as follows:

\(E = (0\times 1/2) + (1 \times 1/4) + (2 \times 1/8) + (4 \times 1/8)\)

E = 0 + 1/4 + 1/4 + 1/2

E = 1/4 + 1/2

E = 3/4

Therefore, the average distribution or expected value after one round of the game is $0.75 or 75 cents.

This means that if you were to play the game multiple times, on average, you would expect to win $0.75 per round.

It's important to note that the expected value represents the long-term average and may not necessarily reflect the outcome of a single round. In this case, the expected value of $0.75 suggests that over many rounds, with the given probability distribution, we would expect to win an average of 75 cents per round.

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The unit worth of resource 1 is -0.25, and the range of its validity is 0 to 24. The unit worth of resource 2 is -1, and the range of its validity is 0 to 1.

The unit worth of a resource is the amount by which the objective function value will increase if the right-hand side of the constraint defining the resource is increased by one unit. In this problem, the first constraint defines resource 1, and the second constraint defines resource 2.

The unit worth of resource 1 can be calculated as follows:

unit worth of resource 1 = -(6x1 + 4x2) / (6) = -0.25

The range of validity of resource 1 is the range of values for the right-hand side of the constraint that will still allow a feasible solution to the problem. In this case, the range of validity of resource 1 is 0 to 24, because the constraint is less than or equal to.

The unit worth of resource 2 can be calculated as follows:

unit worth of resource 2 = -(-x1 + x2) / (1) = -1

The range of validity of resource 2 is the range of values for the right-hand side of the constraint that will still allow a feasible solution to the problem. In this case, the range of validity of resource 2 is 0 to 1, because the constraint is less than or equal to.

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Answer:

4

Step-by-step explanation:

y=3x-2

y=3(2)-2

y=6-2

y=4

To calculate Randy Burgarner's social security tax withholding, we first need to determine his gross monthly salary. Randy's total earnings to date are $14,400.00. Since we know that his gross monthly salary is $3,600.00, we can divide the total earnings by the number of months worked.

Social security tax withholding is $223.20 and medicare tax withholding for Randy Burgarner is $52.20. The solution to this problem is explained as under.

Total earnings to date: $14,400.00
Gross monthly salary: $3,600.00
Months worked = Total earnings to date ÷ Gross monthly salary
Months worked = $14,400.00 ÷ $3,600.00
Months worked = 4
Randy has worked for 4 months. Now we can calculate the social security tax withholding for this month.

The social security tax rate is 6.2% of the gross salary. To find the social security tax withholding, we multiply the gross monthly salary by the social security tax rate.
Social Security tax rate: 6.2%
Gross monthly salary: $3,600.00
Social Security tax withholding = Gross monthly salary × Social Security tax rate
Social security tax withholding = $3,600.00 × 6.2%
Social security tax withholding = $223.20
Therefore, this month's social security tax withholding for Randy Burgarner is $223.20.

Now let's calculate the Medicare tax withholding for this month.
The Medicare tax rate is 1.45% of the gross salary. To find the Medicare tax withholding, we multiply the gross monthly salary by the Medicare tax rate.
Medicare tax rate: 1.45%
Gross monthly salary: $3,600.00
Medicare tax withholding = Gross monthly salary × Medicare tax rate
Medicare tax withholding = $3,600.00 × 1.45%
Medicare tax withholding = $52.20

Therefore, this month's Medicare tax withholding for Randy Burgarner is $52.20.

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Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

|2(-4)+5| = |-8+5| = |-3|

Answer:

a decimal

Step-by-step explanation:

Answer:

Step-by-step explanation:

decimal

Given:

Required:

We need to find the volume of given cone

Explanation:

Take

The volume of cone is

Plug the values

Final answer:

Volume of cone is 84.78 cubic cm

Answer:

The answer is that the ball was in the air for 0.56 seconds when it was 54 feet above the ground. This was determined by using the Quadratic Formula to solve the equation 54 = -16s^2 + 96s for the variable s.

Step-by-step explanation:

To solve this equation, we can use the Quadratic Formula, which states that for a quadratic equation in the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

In this case, a = -16, b = 96, and c = -54. Plugging these values into the Quadratic Formula, we get:

s = (-96 +/- sqrt(96^2 - 4 * -16 * -54)) / (2 * -16)

= (96 +/- sqrt(9216 + 4352)) / -32

= (96 +/- sqrt(13,568)) / -32

Since we want the time (in seconds) that the ball was in the air, we need to find the positive solution to this equation. Thus, we have:

s = (96 + sqrt(13,568)) / -32

= (96 + 120) / -32

= 0.5625 seconds

Rounding this value to the nearest hundredth of a second, we get 0.56 seconds. This means that the ball was in the air for 0.56 seconds when it was 54 feet above the ground.

To solve this equation, we used the Quadratic Formula. This method allowed us to find the time (in seconds) that the ball was in the air by solving for the value of the variable s in the given equation. This helped Vue answer his question by providing a numerical value for the amount of time that the ball was in the air when it was 54 feet above the ground.

Answer: On the first day, Shelly rode 10 miles on first day.

On the second day, Shelly rode 8 miles.

On the third day, Shelly rode 12 miles.

Step-by-step explanation:

Let x = distance rod eon first day.

Shelly rode her bike a total of 30 miles over a three-day period.

Then as per given,

Distance rode on second day = \(\dfrac45x\)

Distance rode on third day \(=\dfrac32\times\text{ Distance rode on second day}\)

\(=\dfrac32\times\dfrac45x=\dfrac{6}{5}x\)

Total distance rode = \(x+\dfrac45 x+\dfrac65x=30\)

\(\Rightarrow\ \dfrac{5x+4x+6x}{5}=30\\\\\Rightarrow\ \dfrac{15x}{5}=30\\\\\Rightarrow\ 3x=30\\\\\Rightarrow\ x=\dfrac{30}{3}\\\\\Rightarrow\ x=10\)

Hence, She rode 10 miles on first day.

Distance rode on second day = \(\dfrac45\times10=4\times2=8\text{ miles}\)

Distance rode on third day \(=\dfrac{3}{2}\times8=3\times4=12\text{ miles}\)

Answer:

ig D)))))))...

Step-by-step explanation:

......

6*4x = 24x

6*(-10) = -60

24x - 60 = 84

Add 60 to both sides

24x = 144

Divide both sides by 24

x = 6

Answer: 18

Step-by-step explanation:

Answer:

The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²vvvThe diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²v

Step-by-step explanation:

its E and A

Answer:

The solutions to the inequality are B, E, and F: 25, 36, and 9.

Step-by-step explanation:

The solutions to the inequality √x < 10 are the values of x that make the inequality true when plugged in. To find these values, we can square both sides of the inequality:

√x < 10

x < 10^2 = 100

So, the values of x that make the inequality true are those that are less than 100. The options that satisfy this condition are:

A. 100 (not a solution)

B. 25 (solution)

C. -100 (not a solution)

D. 105 (not a solution)

E. 36 (solution)

F. 9 (solution)

Step-by-step explanation:

arranging in ascending order is simply arranging from the smallest to the largest.

12.4654,156.6100,267.0918,295.6097,784.7068

I hope this helps

Answer:

Everything in the box currently is correct but the bottom two numbers are just -3 and -4

Step-by-step explanation:

Answer:

(0.2)(38)

Step-by-step explanation:

To find a percent, you multiply the number (cost) by the decimal of the percent

20% as a decimal is .2

Answer:

0.2 48

Step-by-step explanation:

20% change into decimal form is 0.2 you move decimal two places left.