Use the discriminant to determine the number of solutions to the quadratic equation 3x^2+5x=-1

Answer:

y = 15x + 6

Step-by-step explanation:

Answer:

you set them = to each other

3x+2= 5x-4 (subtract 5x from both sides)

-2x +2 = -4 (subtract 2 from both sides)

-2x = -6 (divide by -2)

x = 3 (your answer)

Answer:

Your answer (x + 4)2 =-11 x + 4)2 13 x + 4)221 Correct answer.

One meter is equal to 100 centimeters.

Now, we need to know 3.06 meters in centimeters:

Use the rule of three to find this value

1meter-------------------- 100cm

3.06------------------------- x cm

Where x is = (3.06*100)/1

Then x=306

The ceiling is 306 centimeters tall.

Answer:

I believe the answer is D

Step-by-step explanation:

after 3 hours it traveled 120 miles so divide that by the 3 hours and it gives you 40 miles per hour giving you the slope and the y int would be negative 300 because he started 300 miles aways from Denver

Answer:

The answer seems to be D

Step-by-step explanation:

I cannot really confirm but I am most certain it is D.

To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

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True. Periodic functions can indeed be represented by a harmonically related series of sines and cosines. This representation is known as the Fourier series, which expresses a periodic function as a sum of sine and cosine functions with different frequencies and amplitudes. By appropriately choosing the coefficients of these sine and cosine terms, a periodic function can be accurately approximated or represented.

Periodic functions can be represented by a harmonically related series of sines and cosines, known as the Fourier series. This mathematical representation expresses a periodic function as a sum of sine and cosine functions with different frequencies and amplitudes. By adjusting the coefficients of these harmonically related terms, the Fourier series can accurately approximate or represent the original periodic function. This concept is widely used in various fields, including mathematics, physics, signal processing, and engineering, as it allows for the analysis, manipulation, and synthesis of periodic phenomena. The Fourier series provides a powerful tool for understanding and working with periodic functions, enabling the decomposition of complex periodic signals into simpler harmonic components.

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The answer to this question depends on the sample data that is available. Without any sample data, we cannot perform a hypothesis test and answer the question.

Assuming we have sample data, we can perform a hypothesis test to determine whether there is sufficient evidence to support the mayor's claim. The null hypothesis would be that the true proportion of residents who favor annexation is 0.72 or less, while the alternative hypothesis would be that it is greater than 0.72. We would then calculate a test statistic and p-value based on the sample data, and compare the p-value to the significance level of 0.05. If the p-value is less than 0.05, we would reject the null hypothesis and conclude that there is sufficient evidence to support the mayor's claim that more than 72% of the residents favor annexation of a new bridge.

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Answer:

Cone volume formula

To calculate its volume you need to multiply the base area (area of a circle: π * r²) by height and by 1/3: volume = (1/3) * π * r² * h

Step-by-step explanation:

The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.

The sample variance is a measure of how much the individual data points in a sample vary from the mean.

It is calculated by finding the average of the squared differences between each data point and the mean.

To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:

Calculate the mean (average) of the data set:

Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90

Subtract the mean from each data point and square the result:

(93 - 90)^2 = 9

(89 - 90)^2 = 1

(91 - 90)^2 = 1

(87 - 90)^2 = 9

(91 - 90)^2 = 1

(89 - 90)^2 = 1

Calculate the sum of the squared differences:

9 + 1 + 1 + 9 + 1 + 1 = 22

Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):

Variance = 22 / 5 = 4.4

It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.

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Answer:

93500

Step-by-step explanation:

x − 62,500 = 0.25y

x = 0.25(125,000) + 62,500

x = 93,750

Answer: 93500

Answer:

x=15

Step-by-step explanation:

The given equation is

\(-2x+4=-\frac{1}{3}x-21\)

Here the variable is x and the terms with the variable are \(-2x \;and\; -\frac{1}{3}x.\)

Keep all the terms having variable on one side and all the constants terms on the other side as

\(-2x+\frac{1}{3}x=-21 -4\)

Now, simplify the above equation to get the value of x as

\(-\frac{5}{3}x=-25 \\\\\Rightarrow \frac{5}{3}x=25 \\\\\Rightarrow x=\frac{25\times3}{5} \\\\\Rightarrow x=15 \\\\\)

In this way, the value of x is 15.

The linear equations are x + y = 679, 4x + 7y = 3370 and  586 non-students attended the play.

What is a linear equation, exactly?

A linear equation is a mathematical equation that describes a straight line when plotted on a graph. It is an equation in which the highest power of the variable is one. Linear equations are commonly written in the form of y = mx + b, where "x" and "y" are variables, "m" is the slope of the line, and "b" is the y-intercept. Linear equations can be used to model many real-world situations, such as distance and speed, cost and revenue, and temperature and time.

Now,

a) Let x = student tickets sold and y = number of non-student tickets sold. Then we have the following system of linear equations:

x + y = 679 (the total number of tickets sold is 679)

4x + 7y = 3370 (the total revenue from ticket sales is $3370)

b) To solve for y, we can use the first equation to get:

y = 679 - x

then,

4x + 7(679 - x) = 3370

Simplifying and solving for x, we get:

3x = 2363

x = 787

So 787 student tickets were sold. To find the number of non-student tickets sold, we can use the equation y = 679 - x:

y = 679 - 787 = -108

Since it doesn't make sense to have a negative number of non-student tickets sold, we made an error somewhere. Looking at the problem again, we realize that the equation should be:

x + y = 679 (the total number of tickets sold is 679)

4x + 7y = 3370 (the total revenue from ticket sales is $3370)

where y represents the number of student tickets sold and x represents the number of non-student tickets sold. With this correction, we get:

y = 679 - x

4(679 - x) + 7x = 3370

Simplifying and solving for x, we get:

3x = 1759

x = 586.33

x = 586

So 586 non-student tickets were sold.

Which means 586 non-students attended the play.

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The probability that the mean weight of a sample of twenty freshmen will be greater than 145 pounds is 0.138.

The probability is determined using the central limit theorem and the formula for the standard error of the mean:

where;

Data given;

σ = 12.3 pounds; n = 20

SE = 12.3/√20

SE = 2.75 pounds.

The sample mean is then standardized using the z-score formula:

z = (x - μ) / SE

z = (145 - 142) / 2.75

z = 1.09

Using a calculator, the probability of a z-score greater than 1.09 is 0.138.

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The mean and the standard deviations values are calculated to be

Mean = 22; Standard deviation = 8.32

Information from the question include

The East Bay traps produce a mean of 12 pounds of lobsters per day with a standard deviation of 7 pounds.

The West Bay traps produce a mean of 10 pounds of lobsters a day with a standard deviation of 4.5 pounds.

the sum of the mean for the total weight of the lobsters is calculated by simple addition

= 12 + 10

= 22 pounds of lobsters per day

The standard deviation is not by simple addition it is solved as follows

= √(7² + 4.5²)

= 8.32 pounds

Therefore the mean and the standard deviation are 22 and 8.32 respectively

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1) Since we have this equation let's work on that to find equivalent equations

2) Now let's compare that, we have the last one as equivalent.

If we look at the third one, we can see that only on the left side:

And finally, the second one, just working on the right side:

3) So the equivalent ones are the second, the third, and the fifth one.

Answer:

Step-by-step explanation:

The definition of an example of expression is a frequently Answer:

Step-by-step explanation:The definition of an example of expression is a frequently used word or phrase or it is a way to convey your thoughts, feelings or emotions. An example of an expression is the phrase "a penny saved is a penny earned." An example of an expression is a smile. A facial aspect or a look that conveys a special feeling used word or phrase or it is a way to convey your thoughts, feelings or emotions.

equations...There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form

Answers these are 5..

5 Examples

Noun Phrase; Friday became a cool, wet afternoon.

Verb Phrase; Mary might have been waiting outside for you..

Gerund Phrase; Eating ice cream on a hot day can be a good way to cool off.

Infinitive Phrase; She helped to build the roof.

Prepositional Phrase; In the kitchen, you will find my mom.

The statement "the number of people who shop at grocery stores each day will yield variability

This is the ability of a data to change. It determine the measure at which data points diverge that is far from each other.

For the number of people who shop at grocery stores each day." will yield variability since different set of people from different location to patronize the grocery shop.

The statement "the number of people who shop at grocery stores each day will yield variability

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Answer:

1. 18(2+3)

2. Dylan needs 1.375 more liters

Step-by-step explanation:

1. 36 and 54

2x3x3x2 =36

54 = 2x3x3x3

common factor = 3x3x2 or 18.

1. 18(2+3)

2.5-1.125

2.5000

- 1.125

1.375

Hope this helps!

Btw, i answered your question before!

Answer:

the one that looks like a v

Step-by-step explanation:

the are no vertical lines. it's the second graph

It can be noted that the decimals that fit into the equation will be 68.05, 68.3, and 68.006.

Your information is incomplete as the original equation isn't given. Therefore, an overview will be given.

Let's assume that the statement is that you should find three decimals where the addition equals 204.086

In this case, you've to look at the decimals and add the three that will give the number above. In this case, the three decimals will be:

68.05 + 68.3 + 68.006

= 204.086

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Answer:

f(n) is the function f-1(n) is the inverse of that function , basically the x and y switch places

Step-by-step explanation:

Answer:

Runner A is more consistent as all of the dots are close to the line unlike Runner B or C

Answer: (228.7, 241.3)

Step-by-step explanation:

The derivative  of y with respect to x is -2.

To find \(\frac{dy}{dx}\), we first need to express y and x in terms of a common variable, which we choose to be t.

Given x = t^2, we can differentiate both sides with respect to t using the chain rule to obtain:

\(\frac{dx}{dt}\) = 2t

Solving for t, we get:

t = (1/2) \(\frac{dx}{dt}\)

Substituting this value of t into the equation y = 8 - 2t, we get:

y = 8 - 2((1/2) \(\frac{dx}{dt}\))

Simplifying, we get:

y = 8 -\(\frac{dx}{dt}\)

Differentiating both sides with respect to x using the chain rule, we get:

\(\frac{dy}{dx}\) = d/dx(8 - \(\frac{dx}{dt}\))

Using the chain rule again, we have:

\(\frac{dy}{dx}\) = -    \(\frac{d(dx/dx)/dt }\)

Since \(\frac{dx}{dt}\) = 2t, we can substitute this to obtain:

\(\frac{dy}{dx}\) = -\(\frac{d2t}{dt}\)

Taking the derivative of 2t with respect to t, we get:

\(\frac{dy}{dx}\) = -2

Therefore, the derivative of y with respect to x is -2.

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Yes the ratios are equivalent and the value is  3 : 1

This is a term used to refer to relations between two values which shows the number of times one of the value is contained in the other value.

Given data

18 balloons for every 6 centerpieces _____ratio 1

27 balloons for every 9 centerpieces _____ratio 2

18 for 6 is

18 : 6 this is simplified further to 3 : 1

27 for 9 is

27 : 9 this is simplified further to 3 : 1

since both simplifies to same values 3 : 1 they are said to be equivalent

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Step 1

Given;

Required; To find the area of the flower bed in square yards.

Step 2

Convert the length and the width from feet to yard

Therefore,

Step 3

State the area of a rectangle and find the area of the flower bed

Therefore, the area of the flower bed = 27yd² or 27 square y