find the zeros of the function f(x)=3x^2-27

Answer:

option A is correct.

Step-by-step explanation:

✔A) vertex of the graph of g is 3 units below the vertex of the graph of f.

B) vertex of graph of g is 3 units to the right of the vertex of the graph of f.

C) vertex of graph of g is 3 units to the left of the vertex of the graph of f.

D) vertex of graph of g is 3 units above the vertex of the graph of f.

refer to line line: f(x) = x²   and  blue line as  g(x) = x² - 3

As you can see the graph.

Hence option A is correct

The equity of the entity, according to the basic accounting equation, is R6 000. The basic accounting equation is Assets = Liabilities + Equity. To find the equity of the entity, we need to subtract the total liabilities from the total assets.

Bank balance: R5 000

Machinery balance: R3 000

Trade payables: R2 000

Total assets = Bank + Machinery

            = R5 000 + R3 000

            = R8 000

Total liabilities = Trade payables

                 = R2 000

Equity = Total assets - Total liabilities

      = R8 000 - R2 000

      = R6 000

Therefore, the equity of the entity, according to the basic accounting equation, is R6 000.

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Answer:1.8

Step by step explanation:

Answer:

The answer would be 12+2v or vice versa

Step-by-step explanation:

Hoped that helped

m = -3

b = -2

Equation: -3x - 2

The number of degrees counterclockwise that Kevin needs to reach the original position will be 58°.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.

Let the angle be 'x'. Then the equation is given as,

x + 13° = 71°

x = 71° - 13°

x = 58°

The number of degrees counterclockwise that Kevin needs to reach the original position will be 58°.

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\(46cm\)

Step-by-step explanation:

\(5+2.5+2.5+2.5+4+(9-2.5) +(4+2.5) + 2.5 +5+9

=46\)

Hope this helps

Is there supposed to be a picture or something? I don't see anything.

Based on the given information, we can estimate the probability of receiving the death penalty for the group most likely to receive it by substituting the values of the coefficients into the logistic prediction equation:

P(Y = 1) = exp(a + B1R + B2Y + B3 + B4h + B5i + B6j + B7h*i)

where:

a = -5.26

B1 = 0.00

B2 = 0.17

B3 = 0.00

B4 = 0.91

B5 = 0.00

B6 = 2.02

B7 = 3.98

Assuming that the group most likely to receive the death penalty is a black defendant (h = 1), with a white victim (i = 2), and no additional factors (j = 0), we can plug in these values into the equation:

P(Y = 1) = exp(-5.26 + 0.00R + 0.17Y + 0.00 + 0.911 + 0.002 + 2.020 + 3.981)

P(Y = 1) = exp(-5.26 + 0.91 + 3.98)

P(Y = 1) = exp(-0.37)

Using the exponential function, we can calculate the estimated probability:

P(Y = 1) = 0.691

So, the estimated probability of receiving the death penalty for the group most likely to receive it (a black defendant with a white victim and no additional factors) is approximately 0.691 or 69.1%.

If the constraints B1 = By = B = 0 are used instead, the estimates for the coefficients would be different and would need to be calculated accordingly.

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Expression of Sayed weekly earnings = 8.50t + (1.5)(8.50)p = 8.50t + 12.75p

where t is the number of hours worked regularly and p is number of hours worked overtime.

Part 1)

Given t = 36 and p = 4,

Gross Weekly earnings = 8.50(36) + 12.75(4)

= 306 + 51

=$357

Part 2)

Given Gross weekly earnings = $420.75 and t=36,

8.50(36) + 12.75p =420.75

306 + 12.75p = 420.75

12.75p = 420.75-306

12.75p = 114.75

p = 114.75÷12.75

p=9

Answer:

8,7

Step-by-step explanation:

i hope this helps!

Based on the definition of congruent triangles, m<X = 45 degrees.

Congruent triangles are two triangles that have exactly the same size and shape, which connotes that every corresponding parts of the triangles are equal.

Given EFG = XYZ, therefore, the measure of angle E will be congruent to the measure of angle X.

m<E = m<X

m<E = 180 - 90 - 60

m<E = 30°

Therefore, m<X = 30°.

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Answer:

C. Confuse

Step-by-step explanation:

Bewilder basically means confused. So, confuse would be a synonym of this word.

Hope it helps!

Answer:

Confuse

Step-by-step explanation:

Answer: did you make that up ??

Step-by-step explanation:

Answer:

A. Alternate interior

B. Transitive property

C. Converse alternate interior angles theorem.

The equation to represent the time taken by piper to walk and skate is  x + 2x = 21. The correct option is (A).

A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.

Suppose the number of times piper walked be x.

Then, the number of times he skated is 2x.

Now, as the total time spent on walking and skating is 21 minutes, the equation can be written as,

Total time = Time for walking + time for skating

⇒ 21 = x + 2x

⇒ 3x = 21

⇒ x = 7

Thus, the solution of the equation is x = 7 which is equivalent to the time for walking in minutes.

Hence, the required equation is  x + 2x = 21 and its solution is 7.

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\(~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ \sqrt[3]{3}~~ = ~~3^k\implies \sqrt[3]{3^1}=3^k\implies 3^{\frac{1}{3}}=3^k\implies \cfrac{1}{3}=k\)

The statistical method in forecasting quarterly unemployment rate using the a-sutte indicator and ARIMA model are compared as follows :Step-by-step comparison between the two methods are given below: a-Sutte Indicator method. The a-Sutte indicator method involves the following steps:

Step 1: Data collection - Collect data of the quarterly unemployment rate for a specific period.

Step 2: Select suitable indicators - a-Sutte indicator method use the Gross Domestic Product (GDP) of the nation as an indicator to forecast the unemployment rate.

Step 3: Regression analysis - Using the regression analysis technique, identify the relationship between GDP and the unemployment rate.

Step 4: Forecast the unemployment rate - The unemployment rate is then predicted using the identified relationship in the previous step.

The ARIMA model method involves the following steps:

Step 1: Data collection - Collect data of the quarterly unemployment rate for a specific period.

Step 2: Stationarize the data - Make sure that the data is stationary. Use time series plot, autocorrelation, and partial autocorrelation to identify any seasonal patterns, trends, or outliers.

Step 3: Identify parameters - Using the autocorrelation and partial autocorrelation plots, determine the values of the ARIMA parameters.

Step 4: Fit the model - The ARIMA model is then fitted to the data.

Step 5: Model evaluation - Evaluate the model’s performance to determine its accuracy in forecasting the unemployment rate.

Step 6: Forecast the unemployment rate - Using the ARIMA model, predict the unemployment rate for the next quarter.

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The given statement, "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is False.

Explanation: Null space is a linear algebra term used to refer to the set of all vectors that are mapped to the null vector. The solution of Ax=0 is also referred to as the null space or kernel of A. Since the matrix is of size 4x4 and non-zero, it must have at least one non-zero eigenvalue. Any non-zero vector multiplied by this non-zero eigenvalue will result in a non-zero vector, even if it is in the nullspace of the matrix. Because of this, a non-zero 4 x 4 matrix's nullspace can have four or fewer linearly independent vectors.

Hence, the statement "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is false.

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The required answer is ≈ 0.263

Given the following information about the relationship between X and Y, what would be the slope of the regression line? r(18) = .33, p < .05 Mx = 5.30 sX = 1.93 My = 7.20 sY = 1.54
To find the slope of the regression line (b), you can use the following formula:
b = r * (sY / sX)
where r is the correlation coefficient, sY is the standard deviation of Y, and sX is the standard deviation of X.

There are two type of regression. Multiple regression are non linear regression methods of more analysis. The simple regression based on independent variable to explain or predict the out come of  the dependent variable.    
Using the provided information:
r = 0.33
sY = 1.54
sX = 1.93

If the regression show that such an association is present. The strength of the relationship is income and consumption.

we can  have several explanatory variable in our analysis.

The least square technique is determine by minimizing the sum.  
Now, plug these values into the formula:
b = 0.33 * (1.54 / 1.93)
b ≈ 0.33 * 0.798
b ≈ 0.263
Therefore, the slope of the regression line is approximately 0.263.

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A 5th degree polynomial have five complex roots. This means that the polynomial can be written as the product of five linear or quadratic polynomials.

The general formula to calculate the roots of a 5th degree polynomial is:

\(x^5 + ax^4 + bx^3 + cx^2 + dx + e = 0\)

The roots of the polynomial can be found by solving the following equation:

\(x^4 + (a - x)x^3 + (b - a x + x^2)x^2 + (c - bx + ax^2 - x^3)x + (d - cx + bx^2 - ax^3 + x^4) = 0\)

To calculate the roots of the polynomial, we need to solve the quartic equation, which can be done by using the quadratic formula. Then, we can use the solutions of the quartic equation to find the roots of the 5th degree polynomial.

For example, if we have the polynomial x^5 + 2x^4 + 3x^3 + 4x^2 + 5x + 6 = 0, then the roots can be calculated as follows:

x1 = -1.7177

x2 = -0.3181

x3 = 0.5813

x4 = 1.2520

x5 = 2.1771

These are the five complex roots of the polynomial.

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Using the binomial distribution, it is found that there is a 0.8909 = 89.09% probability that both outcome Y and outcome Z occur at least once.

The trials are independent, hence the binomial distribution can be used.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

For the probability that outcome Y does not happen, we have that:

The probability is P(X = 5), that is, all five outcomes are either X or Z, then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 5) = C_{5,5}.(0.6)^{5}.(0.4)^{0} = 0.0778\)

For the probability that outcome Z does not happen, we have that:

The probability is P(X = 5), that is, all five outcomes are either X or Y, then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.0313\)

Then, the probability that at least one does not happen is:

\(p = 0.0778 + 0.0313 = 0.1091\)

The probability that both happen is:

\(1 - p = 1 - 0.1091 = 0.8909\)

0.8909 = 89.09% probability that both outcome Y and outcome Z occur at least once.

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Using Algebraic expression solution ,

The cost of three hats is $18 .

We have given that,

A hat company charge for design fee $4 per hat .

i.e design fee of one hat = $4

total cost of 5 hats = $30

let the cost of one hat without design fee be $x and total cost of one hat is $(x+4) .

using the above statement, we get an algebraic expression,

5( x+ 4)= 30

we solve the above algebra expression,

=> 5x + 20 = 30

=> 5x = 10

=> x = 2

so, cost of a hat without design fee is $2

and total cost of one hat is $6.

we have to calculate cost of 3 hats .

cost of one hat in hat company= $ 6

cost of three hats in hat company= $(6×3)

= $18

Hence, the total cost of 3 hats is $18.

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Explanation:

We would use AA similarity criterion here because we can see two of the angles in each triangle are equal.

Answer:

111 degrees, its a flip to other side.

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

All other fractions when simplified are equal to 2/5

The amount of the annual depreciation has been $90.

The statement provides us with the following data:

The yearly depreciation of the table saw can be calculated by subtracting the depreciated value from the original cost and dividing by the number of years.

Yearly depreciation = (Original cost - Depreciated value) / Number of years

Yearly depreciation = ($810 - $450) / 4

Yearly depreciation = $360 / 4

Yearly depreciation = $90

Therefore, the amount of yearly depreciation for the table saw is $90.

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A paired-test can be used to check if the two blood pressure taken from 2 groups,one group having normal blood pressure another having white coat hypertension differ or not.

A paired t-test is used to determine whether two sample means are equal or not. White coat hypertension occurs when a person's blood pressure rises when they are in a medical setting.

To assess whether the two blood pressure measurements differ, a paired t-test should be used. The paired t-test is used to compare two dependent samples that are connected in some manner. A random sample of 50 patients should be taken to see if the two blood pressures differ. Here are the steps for conducting a paired t-test:

- State the null and alternative hypotheses.
- Calculate the difference between the two groups of data.
- Calculate the sample mean, sample standard deviation, and sample size.
- Use the t-distribution to determine the critical value.
- Compute the test statistic.
- Determine the p-value.
- Make a decision.

It is worth noting that in order to use the paired t-test, the data must be normally distributed. Additionally, this test can be performed on a one-tailed or two-tailed basis, depending on the hypothesis test. F-distribution is not used in a paired t-test.

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Answer:

D

Step-by-step explanation:

The square root of x in radical form is \(\sqrt{x}\)

In exponent form the square root of x is \(x^{\frac{1}{2} }\)

Answer:

D

Step-by-step explanation:

When you put x to a fraction for example x to the 1/2 power is the same thing as the square root of x, another example is x to 1/3 power this is the same thing as the cube root of x

Therefore x to the 1/2 power is the square root of x

Next a way to wright the square root of x is \(\sqrt{x}\)

This means that the answer is D

Answer: I think its D

Step-by-step explanation: If im right plz give brainliest

The solution of the DTDS is xn = (0.63)^n * 41 grams, where n represents time in hours.

a) The updating function f(x) for the discrete time dynamical system (DTDS) can be derived from the given information that the body eliminates 37% of the alcohol present in the body per hour.

Since 37% of the alcohol is eliminated, the amount remaining after one hour can be calculated by subtracting 37% of the current amount from the current amount. This can be expressed as:

f(x) = x - 0.37x

Simplifying the equation:

f(x) = 0.63x

b) The initial condition for the DTDS is given as Peter having 41 grams of alcohol in his body after consuming three alcoholic drinks. Therefore, the initial condition is:

x0 = 41 grams

c) To find the solution of the DTDS with the given initial condition, we can use the updating function f(x) and iterate it over time.

For n hours, the solution is given by:

xn = f^n(x0)

Applying the updating function f(x) repeatedly for n times:

xn = f(f(f(...f(x0))))

In this case, since the function f(x) is f(x) = 0.63x, the solution can be written as:

xn = (0.63)^n * x0

Substituting the initial condition x0 = 41 grams, the solution becomes:

xn = (0.63)^n * 41 grams

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