Given f(x)=-3x+2, solve for x when f(x)=-1

The solution of the equations  4x + 3y = 0 and 8x + 6y = 6​ do not exist.

An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.

The equations are given below.

4x + 3y = 0                  ...1

8x + 6y = 6​                 ...2

The slope of the equation of the lines is the same that is - 4/3. Then the lines are parallel lines.

Thus, the solution of the equations  4x + 3y = 0 and 8x + 6y = 6​ do not exist.

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The total expenses of Marco's account are $174. The ending balance is $81. So, the starting balance will be $255.

Option A is correct for starting balance.

Further Explanation on Starting and Ending Balance

Given that Marco’s bank statement says that he has an ending balance of $81. The expenses $ of Marco is given as,

The total expenses can be calculated as given below.

Total Expenses = Sum of all Expenses

Total Expenses = 20+22+13+39+34+15+31

Total Expenses = $174

The starting balance can be calculated as given below.

Starting Balance = \(\$174 +\$81\)

Starting Balance = $ 255.

Hence we can conclude that the starting balance of Marco's account is $255. Option A is correct.

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Answer:

A

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

5/3x + 4 = 2/3x

5/3*(-4) + 4 = 2/3*(-4)

8/3 = 8/3

Answer:

= 18

Step-by-step explanation:

hope this helped

Answer:

18 minutes

Step-by-step explanation:

if you divide 109 by 6, ya get 18.166666-

The final answer of the given question is- (4√6 - 4√2) / (-4) = -√6 + √2 .

A quotient is the result obtained from dividing one quantity by another. It is the answer to a division problem and represents how many times one number is contained in another.

To simplify the expression, we can do rationalize of the denominator by multiplying both the numerator and denominator by the conjugate of the denominator:

(2√8) / (4+√12) × (√12-4) / (√12-4)

Simplifying the numerator:

(2√8) × (√12-4) = 22√22√3 - 2×2√2 = 4√6 - 4√2

Simplifying the denominator:

(4+√12) × (√12-4) = 12 - 16 = -4

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Solution

For this case we have this:

y= 2x -9 (1)

And replacing equation (1) into the second we got:

x + 2x -9= 12

3x = 12+9

3x = 21

x = 21/3 = 7

And solving for y we got:

y = 2*7 -9 = 14 -9 =5

Answer:

A. 55

Step-by-step explanation:

its a right angle and triangles are equal to 180 so 180 - (95 + 35) = 55

Hope this helps! Please tell me any questions or concerns in the comments! Byeee <3

If they both were driving at 9 AM, Jean and Sally, based on their average driving speeds, would meet at 14:00 hours or 2:00 P.M.

The average speed is the quotient of the total distance traveled and the time interval.

As a scalar quantity, the average speed is represented by its magnitude.

From the distance, speed, and time formula, we can determine the time when Jeann and Sally will meet.

Time = Distance/Speed

Total distance covered = 445 miles

Jean's average driving speed = 43 mph

Sally's average driving speed = 46 mph

Combined average driving speed = 89 mph

Time used to cover the distance = 5 hours (445/89)

The time they started driving = 9 AM

Time they will meet = 2 PM (9 AM + 5 hours) or 14:00 hours

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The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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Answer:

Step-by-step explanation:

Medium is 28

Mean is 29

Range is 11

Midrange is 29.5

Step-by-step explanation:

3000  ml   /   150 ml/hr =  20 hrs from 0800   would be 0400 the NEXT day.

Answer:

False

Step-by-step explanation:

\(2x_1+6x_2\leq 30\\2(4)+6(5)\stackrel{?}{\leq}30\\8+30\stackrel{?}{\leq}30\\38\nleq30\)

Therefore, (4,5) is not a feasible point for the constraint

The statement "A change of basis matrix always has a positive determinant" is false.

A change of basis matrix is a matrix that expresses the coordinates of a vector in terms of a new basis. Given a vector space V and two bases B and B', there exists a unique change of basis matrix P such that for any vector v in V, we have:

[v]_B' = P[v]_B

where [v]_B and [v]_B' are the coordinate vectors of v with respect to the bases B and B', respectively.

The determinant of the change of basis matrix P tells us how much the transformation expands or contracts volumes of objects in our vector space. If the determinant is positive, then the transformation preserves orientation (i.e., it does not flip the ordering of basis vectors), whereas if the determinant is negative, then the transformation reverses orientation.

However, it is possible for the determinant of a change of basis matrix to be zero, which means that the transformation collapses some dimensions of our vector space. In this case, the transformation cannot be inverted, so it does not make sense to talk about orientation preservation.

Therefore, the statement "A change of basis matrix always has a positive determinant" is false. The determinant can be positive, negative, or zero, depending on the transformation encoded by the matrix.

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On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.

To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.

Given:

9 staff members taking calls.

On average, one call arrives every 5 minutes (standard deviation of 5 minutes).

Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).

To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:

"M" stands for Markovian or memoryless arrival and service times.

"c" represents the number of servers.

In our case, we have an M/M/9 queuing model since we have 9 staff members.

The average waiting time for a customer on hold is given by the following formula:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

Where:

c = number of servers (staff members) = 9

μ = average service rate (1 / average service time)

λ = average arrival rate (1 / average interarrival time)

ρ = λ / (c * μ)

First, let's calculate the average arrival rate (λ):

λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute

Next, calculate the average service rate (μ):

μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute

Now, calculate ρ:

ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407

Finally, calculate the waiting time:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))

≈ 1.16 minutes

Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.

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Answer:The 36Th Term is 683

Step-by-step explanation:

The nth term of an Ap Is given as

an = a1 + (n - 1 ) d.

Now the first term a1=403

and the common difference,d=403-395=8

The 36th term will now be

a₃₆ = a1 + (n - 1 ) d

a₃₆ = 403 + (36 - 1 ) 8

a₃₆ = 403 + (35 ) 8

a₃₆ = 403 +280

a₃₆ = 683

The expression to represent the number of t-shirts that Lisa can purchase is 14x + 58 = 150

From the information given, Lisa has $150 at most to spend on clothes. She wants to buy a pair of jeans for $58 and will spend the rest on t-shirts that cost $14 each.

Let the number of shirts be represented by x. The expression will be:

= (14 × x) + 58 = 150

14x + 58 = 150

Solving the expression will be:

14x + 58 = 150

14x = 150 - 58

14x = 92

x = 92/14

x = 6.5

The number of shirts that can be bought is 6.

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The correct statements are

b) The addition of plasticizer increases the Tg of base polymer

d) For a given polymer, Tm is always higher than Tg.

* **(a)** is incorrect because both crystalline and amorphous polymers have Tg. Tg is the glass transition temperature, which is the temperature at which a polymer transitions from a glassy state to a rubbery state. Crystalline polymers have a higher Tg than amorphous polymers because the crystalline regions are more rigid.

* **(b)** is correct because plasticizers are molecules that disrupt the intermolecular forces in a polymer, making it more flexible. This means that the Tg of the polymer will be increased.

* **(c)** is incorrect because the Tm of PET is 245°C, which is above 100°C. PET bottles shrink when filled with hot water because the hot water causes the polymer chains to become more flexible and move more freely. This results in a decrease in the volume of the bottle.

* **(d)** is correct because Tg is the temperature at which the polymer chains are able to move freely, while Tm is the temperature at which the polymer chains are able to break free from each other and flow. Therefore, Tm must always be higher than Tg.

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A one-sample z-test was conducted with a sample mean of 77.1, population mean of 80, and known population standard deviation of 15. The test statistic was -2.9, with a p-value of 0.0019. The null hypothesis was rejected, indicating sufficient evidence that μ is less than 80.

To answer the question, we need to perform a one-sample z-test using the given information.

(a) Compute the value of the test statistic:

The test statistic (z-score) can be calculated using the formula:

z = (x - μ) / (σ / √n)

where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case, x = 77.1, μ = 80, σ = 15, and n = 100.

Plugging in the values:

z = (77.1 - 80) / (15 / √100) = -2.9

The value of the test statistic is -2.9.

(b) Determine the p-value:

To find the p-value, we compare the test statistic to the standard normal distribution. Since the alternative hypothesis is μ < 80, we are conducting a left-tailed test.

Using a significance level of α = 0.063, we look up the corresponding z-score and find its corresponding p-value.

From the z-table or using technology, the p-value for z = -2.9 is approximately 0.0019.

Therefore, the p-value is 0.0019.

(c) Using the critical value approach and α = 0.063, test the hypotheses:

To use the critical value approach, we compare the test statistic to the critical value(s) based on the significance level.

Since the alternative hypothesis is μ < 80, we are conducting a left-tailed test.

From the z-table or using technology, the critical value for α = 0.063 in a left-tailed test is approximately -1.57.

Since the test statistic (z = -2.9) is less than the critical value (-1.57), we reject the null hypothesis (H0).

Therefore, the conclusion is:

Reject H0. There is sufficient evidence to conclude that μ is less than 80.

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B. Mean is not resistant to extreme values in a numeric data set. The mean is affected by outliers or extreme values in a dataset because it takes into account all the values in the dataset, including the extreme values.

Central tendency is a measure that is used to find the central or typical value of a set of data. The most common measures of central tendency are mean, median, and mode. These measures provide different ways of summarizing the data, depending on the nature of the dataset and the research question.

The mean is calculated by adding up all the values in a dataset and dividing by the number of values. The mean is often considered to be the most common measure of central tendency because it takes into account all the values in the dataset. However, the mean is not resistant to extreme values or outliers. An outlier is an observation that is significantly different from other observations in the dataset.

When a dataset contains extreme values or outliers, the mean is often affected, resulting in a value that does not represent the central tendency of the dataset. This is because the mean is influenced by every value in the dataset, including the outliers, and is not a robust measure of central tendency. In contrast, the median and mode are resistant to extreme values and provide better estimates of central tendency when a dataset contains outliers.

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Answer:

the answer is 16.67

lol dont listen to the last answer i said im dum

Answer:

16.67 I hope I helped .......

Answer:

9

Step-by-step explanation:

If the ramp had a slope of 1, the answer would be 6. However, because it has a slope of 2/3, the ramp travels 3/2 times the amount it would if the slope was 1, and moreover so would the ball. Therefore, by multiplying 2/3 by 3/2, the ball traveled 9 feet. I hope this helps! I would call this subject general geometry.

Answer:

a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

8

This is actually fairly simple. If you take the x-1 and set it equal to 0 you get 1. And if you plug that value into the x you get 8, which is the remainder. This is called the remainder value theorem.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Properties of a bar graph:

1). There should be equal space between the bars or the columns.

2). Width of each bar or columns should be same.

3). All bars should have same base.

4). Height of each bar will show the value of the data.

By these properties,

- Space between London-Paris, Rome-Oslo are not equal.

- Width of Munich bar is different from other bars.

The utilitarian hedonistic calculus is a system that attempts to determine the morality of an action based on its overall utility and the resulting pleasure or happiness it produces. The factors that are considered in this calculus include the intensity, duration, certainty or uncertainty, propinquity or remoteness, fecundity, purity, and extent of the pleasure or pain that will result from the action.

However, there is one factor that is not considered in the utilitarian hedonistic calculus, and that is the individuality of the persons involved. This means that the calculus does not take into account the unique qualities, desires, and preferences of the individuals affected by the action. Instead, it treats them all as if they were interchangeable and equally capable of experiencing pleasure or pain.

This lack of consideration for individuality has been criticized as a weakness of the utilitarian hedonistic calculus, as it can lead to outcomes that are unfair or unjust. For example, the calculus might suggest that it is acceptable to sacrifice the happiness of a minority group for the greater good of the majority, even if this violates their rights and dignity as individuals.

In summary, the utilitarian hedonistic calculus does not factor in individuality as a consideration in determining the morality of an action.

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He pays $86.8125 on state income tax on each paycheck

Given that his annual salary is $48,300 and he is being paid semi-monthly.

Semi-monthly is a style of payment that means being paid twice a month. And being paid twice a month translates to being paid 24 times in a year.

Remember we are asked to calculate the amount he pays to tax on each pay grade. Again, remember he has a $2000 personal exemption.

Total deductible = $48,300 - $2,000 = $46,300

Next, we calculate the tax payment on this payment.

This means that he will pay a total of $2083.5 on tax for the whole year. Since we now know he's being paid 24 times in a year, we proceed to dividing it 24

2083.5/24 = $86.8125

This means he pays $86.8125 on state income tax on every paycheck.

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