Solve the system of equations.
y = x² + 3x - 6
y = 2x - 6
A. (-1,-8) and (0, -6)
B. (0, 6) and (1, -2)
C. (-1,8) and (0, 6)
D. (0, -6) and (1, 2)

Answer:

f(- 3) = - 3

Step-by-step explanation:

locate x = - 3 on the x- axis, then go vertically down to meet f(x) at (- 3, - 3 )

Then f(- 3) = - 3

The percentage of scores between 81 and 119 is given as follows:

68%.

These approximate percentages are defined by the Empirical Rule, for a normally distributed variable:

81 and 119 are within one standard deviation of the mean, hence the percentage is of 68%.

The problem asks for the percentage of scores between 81 and 119.

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Answer:

do you want the answer to be in fractions or decimals?

Step-by-step explanation:

Since the sum of the interior angles of a triangle equals 180° and one of the angles is a right angle (90°), the sum of the remaining two angles must equal 90° (180°-90°=90°)

A confidence interval exists "a range of values that's likely to contain a population value with a certain degree of confidence.

In case the 95 % confidence interval would be given by

\($0.582 \leq \mu_1-\mu_2 \leq 3.178$\)

A confidence interval exists "a range of values that's likely to contain a population value with a certain degree of confidence. It exists often denoted a % whereby a population means lies between an upper and lower interval".

The margin of error exists the range of values below and above the sample statistic in a confidence interval.

Normal distribution, exists a "probability distribution that exist symmetric about the mean, showing that data near the mean exists more frequent in occurrence than data far from the mean".

\($\bar{X}_1=5.84$\) represent the sample mean 1

\($\bar{X}_2=3.96$\) represent the sample mean 2

n 1 = 25 represent the sample 1 size

n 2 = 25 represent the sample 2 size

\($s_1=2.211334$\) sample standard deviation for sample 1

\($s_2=2.35372$\) sample standard deviation for sample 2

\($\mu_1-\mu_2$\) parameter of interest.

The confidence interval for the difference of means exists given by the following formula:

\($\left(\bar{X}_1-\bar{X}_2\right) \pm t_{\alpha / 2} \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}} \text \dots{ (1) }$$\)

The point of estimate for \($\mu_1-\mu_2$\) exists just given by:

\($\bar{X}_1-\bar{X}_2=5.84-3.96=1.88$$\)

In order to estimate the critical value \($t_{\alpha / 2}$\) we require to estimate first the degrees of freedom, given by:

\($d f=n_1+n_2-1=25+25-2=48$$\)

Since the Confidence is 0.95 or 95 %, the value of \($\alpha=0.05$\)and α 2 = 0.025, and we can utilize excel, a calculator or a table to estimate the critical value. The excel command would be: " = -T.INV (0.025, 48) ". And we see that \($t_{\alpha / 2}=2.01$\)

In order to replace into formula (1), we get

\($1.88-2.01 \sqrt{\frac{2.211334^2}{25}+\frac{2.35372^2}{25}}=0.582$\)

\($1.88+2.01 \sqrt{\frac{2.211334^2}{25}+\frac{2.35372^2}{25}}=3.178$\)

In case the 95 % confidence interval would be given by

\($0.582 \leq \mu_1-\mu_2 \leq 3.178$\)

Because all the values for the confidence interval are higher than 0, we may infer that there are significant differences between the means of the two groups in this case, with the mean for group 1 (Medicine) being considerably higher than the mean for group 2 (Placebo) at 5% of significance.

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The statement "Relationships between two categorical variables are less evident when the data is expressed in counts rather than percentages" is false. Categorical variables are those that divide a population into groups. These groups can be classified into one of two categories: nominal or ordinal. The nominal category does not have an intrinsic order, whereas the ordinal category does.

Categorical data is a data type that is collected from observations that are grouped into categories with numerical figures. These variables are frequently defined in nominal terms. The data is expressed in percentages or proportions in a categorical data table instead of counts. When analyzing categorical data, it is best to use percentages, as these provide a better picture of the underlying relationship.

Therefore, relationships between two categorical variables are more evident when data is expressed in percentages rather than counts. When percentages are utilized, it is more straightforward to understand the relationship between two categorical variables. An example of categorical data is the top 150 movies of all time.

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Answer:

14 dollars

The trick is to subtract the known value by the result of the subtraction problem to get the missing value as shown below;

\(42 - 28 = 14\)

Answer:

Mike earned 14 dollars on Wednesday.

Step-by-step explanation:

You take the total($42) and subtract what he earned on monday($28), and you get $14, which is how much he earned on wednesday.

Hope this helps!

Answer: Heyaa!

If you mean medicine treatment the definition is...

If you mean just basic treatment the definition is...

Hopefully this helps you:

- Matthew

Answer:(4,5)

Step-by-step explanation:

Answer:

(8.5,-1.5)

Step-by-step explanation:

midpoint formula =((x1+x2/2),(y1+y2/2)

9+8/2=8.5

-5+2/2=-1.5

so

(8.5,-1.5)

If an airplane flies a total distance of 450km in 3/4 hours, the plane is traveling at an average speed of 600 kilometers per hour.

The average speed refers to the quotient of the total distance divided by the total time used by the airplane to cover the distance.

Based on the distance, time, and speed equation, we can state that there exists an equation relationship, which is given as distance = time x speed.

The total distance flown by airplane = 450 kilometers

The total time used by the airplane to travel the distance = ³/₄ hours or 0.75 hours

Thus, the average speed of the airplane is 600 kilometers per hour (450 ÷³/₄).

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The pH is the measure of hydrogen ion concentration in a solution. The hydrogen ion concentration at pH 1.25 is  \(5\times 10^{-2}\ M\).

The pH is the negative logarithmic value of the hydrogen ion concentration in the sample.

The pH can be expressed as:

\(\rm pH=-Log[H^+]\)

The hydrogen ion concentration can be given as:

\(\rm [H^+]=10^{-pH}\)

The given pH is 1.25 The hydrogen ion concentration is given as:

\(H^+=10^{-1.25}\\H^+=0.05\ M\\h^+=5\times10^{-2}\ m\)

The hydrogen ion concentration in the solution is .\(5\times 10^{-2}\ M\)

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Answer:

1st blank is 5.62

2nd blank is -2

Step-by-step explanation:

Look at the image (top right corner)

The equation that satisfies the data in the table is,

y = -4x - 4 [Option D]

Definition of an Equation:

An equation is defined as a mathematical assertion in which you use mathematical symbols to demonstrate the equality of two amounts. A combination of expressions with variables and constants on either side of the equality sign make up an equation.

The (x, y) coordinates from the given table are,

(-1,0), (0, -4), (1, -8)

Now, these points must satisfy the required equation.

Considering the first point (-1, 0), if we substitute these values of x and y coordinates in y=4x-4, the equality is no longer maintained.

Similarly, (-1,0) does not satisfy the second and third equations, that are, y = -x + 4 and y = x + 4, respectively, either.

Taking the fourth equation, y = -4x - 4

Putting x = -1 in this equation, we get,

y = -4(-1) - 4

y = 4 - 4

y = 0

Likewise, this equation satisfies the rest of the data in the table too.

Therefore, y = -4x - 4 is the required equation.

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Answer: the answer is 1

Step-by-step explanation:

so we do Straight multiplication and I mean

1 x 7 (the numerators) which gives us 7

the denominator which is 7 x 1= 7

now we have the fraction 7/7 now we divide which gives us 1

Answer: The answer is 7(9 + 5)=98

7x9=63

7x5=35

63+35=98

Step-by-step explanation: 63+35=98

Answer:

9(7+35)

Step-by-step explanation:

don't really have a step-by-step so I hope u don't fail

The value of the cos(A - B) in simplest form would be 273/100.

What are the trigonometric angles?

Trigonometry angles are the angles given by the ratios of the trigonometric functions. Trigonometry deals with the study of the relationship between angles and the sides of a triangle. The angle value ranges from 0-360 degrees. The important angles in trigonometry are 0°, 30°, 45°, 60°, 90°, 180°, 270° and 360°.

sin B = 3/5

tan A = 5/12

We have find cos(A - B)

first, let’s hope these are both all-integer triangles:

In a 3-4-5 Right triangle,

sinB = 3/5, cos B = 4/5

For tanA = 5/12 the hypotenuse turned out to be 13.

sin A = 5/12

cos A = 12/13

So now we just use the identity for cos ( A +  B )

cos(A - B) = cosAcosB + sinAsinB

                = (12/13)(4/5) + (5/12)(3/5)

                = (60 + 52/65) + (25 + 36/60)

                = (112/65) + (61/60)

                = 273/100

Hence, the value of the cos(A - B) in simplest form would be 273/100.

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The division calculation of 733 divided by 4 can be solved by finding the greatest multiple of 100 that can be multiplied by 4 without exceeding 733. The quotient is obtained by dividing this multiple by 4.

To solve 733 ÷ 4, we begin by finding the greatest multiple of 100 that can be multiplied by 4 without exceeding 733. In this case, the multiple is 700 (100 multiplied by 7). Next, we divide this multiple by 4 to obtain the quotient. The division can be performed as follows:

175

4 | 733

We start by dividing 7 (the tens digit of 700) by 4, which equals 1. We place this quotient of 1 on top. Then, we multiply 1 by 4, which equals 4, and subtract it from 7 to get the remainder of 3. We bring down the ones digit of 33, and the process is repeated. We divide 33 by 4, which gives us 8 with no remainder. Therefore, the quotient of 733 ÷ 4 is 183, with no remainder.

In summary, when dividing 733 by 4, we find the greatest multiple of 100 that can be multiplied by 4 without exceeding 733, which is 700. Dividing 700 by 4 gives us a quotient of 175. Therefore, the answer to 733 ÷ 4 is 183.

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Answer:

The value of t is 16

024.00% is the effective tax rate .

The percentage of income that a person or a business pays in taxes is known as the effective tax rate. The average tax rate that is applied to both earned and unearned income, such as stock dividends, is known as the effective tax rate for individuals.

An income tax is a charge levied against people or organizations in relation to the income or profits they make. In most cases, income tax is calculated as the sum of the tax rate and the amount of taxable income. The type of taxpayer and the type of income are two factors that can affect the tax rate. Individuals (or family units) and corporations are subject to income taxes. The basis for calculating individual income tax is the income received. Since the burden is presumably on the individuals who pay it, it is typically categorized as a direct tax. Income taxes are assessed against both businesses and people based on their profits. Taxable income can be earned from a variety of sources, including earnings, salaries, dividends, interest, royalties, and rent.

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\(2x + 5 = 19 \\ 2 \times 7 + 5 = 19 \\ 14 + 5 = 19 \\ 19 = 19 \)

So, The first equation has the solution x = 7

The flow rate of 5 MGD is equivalent to 7.73615 cfs

To convert million gallons per day (MGD) to cubic feet per second (cfs), we need to use the conversion factor between the two units. The conversion factor is 1 MGD = 1.54723 cfs.

Therefore, to convert MGD to cfs, we can multiply the given value of MGD by the conversion factor. For example, if we have a flow rate of 5 MGD, we can convert it to cfs as follows:

5 MGD x 1.54723 cfs/MGD = 7.73615 cfs

So, the flow rate of 5 MGD is equivalent to 7.73615 cfs. Similarly, we can convert any given flow rate in MGD to cfs by using the same conversion factor.

It is important to note that these units are commonly used in the context of water supply and distribution systems, where flow rates are a crucial factor in the design and operation of such systems. Therefore, knowing how to convert between different flow rate units is essential for engineers and technicians working in this field.

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The correct answer is option A which is the graph of f(x) is vertically compressed by a factor of 7 and shifted 16 units down.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

Given functions are:-

When we plot the graph of the two functions given in the question we will see that the graph of the function F(x) = x²-16 is compressed by the factor 7 and the vertex of the graph shifted to the 16 points down.

Therefore the correct answer is option A which is the graph of f(x) is vertically compressed by a factor of 7 and shifted 16 units down.

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The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106

A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.

Rectangles' essential characteristics are as follows:

A rectangle is a parallelogram.

The Perimeter of the rectangle is 2a + 2b where a and b are the two sides

Now , if w is the width of the rectangle then, the length is 4w given in problem.

Perimeter,

2w + 2* 4w

As it is given in the problem

2w + 2* 4w ≤ 106

The first model of inequality satisfy the problem.

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Answer:

d. $50,499

Step-by-step explanation:

Given:

S = 40,000 (1.06)^t

Where,

t=4 years

S=40,000(1.06)^4

=40,000(1.26247696)

=50,499.0784

To the nearest dollar

S=$50,499

The answer is d. $50,499

A record's key field is the field whose contents make the record unique among all records in a file.

In computer science and database management, a record's key field, also known as a primary key, is a unique identifier that is used to distinguish one record from another in a database. A key field can be a single field or a combination of fields that uniquely identify a record.

For example, in a database of employee records, the social security number or employee ID number may be used as the key field to identify each employee record. This key field must be unique for each record in the database, and it is typically indexed to allow for faster searching and sorting of records.

The key field plays a crucial role in ensuring data integrity and consistency in a database. It is used to enforce data constraints and relationships between tables, and it is often used as a reference by other tables in a database.

In summary, a record's key field is an important component of a database that uniquely identifies each record and allows for efficient management and organization of data.

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Answer:

A) X= 6

B) X = 33

Step-by-step explanation:

If Idil drove 12 miles in 1/5an hour on average, then she drove at an average speed of 60 miles per hour.

To calculate the average speed of Idil's car in miles per hour, we need to divide the distance she drove (12 miles) by the time it took her to drive that distance (1/5 hour):

Average speed = distance ÷ time

Average speed = 12 miles ÷ (1/5) hour

To divide by a fraction, we can multiply by its reciprocal, so:

Average speed = 12 miles × 5/1 hour

Average speed = 60 miles per hour

Therefore, Idil drove at an average speed of 60 miles per hour.

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Answer:  The answer that I got was J.

profit margin does the stadium anticipate for this year 575050

Given,

This year, a stadium manager has booked five performances with a projected aggregate revenue of $1,050,050.

Profit: 1000 - 425 (85 x 5) = 575

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