a student solves the following equation and determines that the solution is −2. is the student correct? explain. 3 a 2 − 6a a2 − 4

Answer:

Answer:

b

Step-by-step explanation:

trust me

Answer:

A

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2/3 * 6

~Rewrite

2/3 * 6/1

~Multiply

12/3

~Simplify

4

Best of Luck!

Answer:

4

Step-by-step explanation:

Answer:

When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution.

Step-by-step explanation:

Got this from google hope it helps

To verify that the given two-parameter family of functions is the general solution of the nonhomogeneous differential equation, we need to show that:

The functions satisfy the differential equation.

Any other solution of the differential equation can be written as a linear combination of these functions.

Here, the differential equation is: y" - 7y' + 10y = 24e^x

First, let's check if y = c_1e^2x + c_2e^5x + 6e^x satisfies the differential equation:

y' = 2c_1e^2x + 5c_2e^5x + 6e^x

y" = 4c_1e^2x + 25c_2e^5x + 6e^x

Substituting these expressions for y, y', and y" into the differential equation, we get:

4c_1e^2x + 25c_2e^5x + 6e^x - 7(2c_1e^2x + 5c_2e^5x + 6e^x) + 10(c_1e^2x + c_2e^5x + 6e^x) = 24e^x

Simplifying, we get:

(4c_1 - 14c_1 + 10c_1)e^2x + (25c_2 - 35c_2 + 10c_2)e^5x + (6 - 42 + 60)e^x = 24e^x

This reduces to:

-24e^x = 0

Since this equation is true for all x, we can conclude that y = c_1e^2x + c_2e^5x + 6e^x is a solution of the differential equation.

Next, we need to show that any other solution of the differential equation can be written as a linear combination of these functions. To do this, we can use the method of undetermined coefficients to find a particular solution of the differential equation, and then add it to the homogeneous solution (which is the general solution of the associated homogeneous equation y" - 7y' + 10y = 0).

Using the method of undetermined coefficients, we can guess a particular solution of the form y_p = Ae^x, where A is a constant to be determined. Substituting this into the differential equation, we get:

y_p" - 7y_p' + 10y_p = Ae^x - 7Ae^x + 10Ae^x = 24e^x

Simplifying, we get:

4Ae^x = 24e^x

Therefore, A = 6, and the particular solution is y_p = 6e^x.

The associated homogeneous equation is y" - 7y' + 10y = 0, which has characteristic equation r^2 - 7r + 10 = 0. The roots of this equation are r = 2 and r = 5, so the homogeneous solution is y_h = c_1e^2x + c_2e^5x.

Therefore, the general solution of the differential equation is y = y_h + y_p = c_1e^2x + c_2e^5x + 6e^x, where c_1 and c_2 are constants. This is the same as the given two-parameter family of functions, so we have verified that it is the general solution of the differential

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Answer:

-2x_1/2+6y+3x

Step-by-step explanation:

right on edge

Answer:

Step-by-step explanation:

The amplitude is 2.5

Equation:

the equation to find the amplitude is (max-min) / 2.

using this equation, it would be (4 - (-1)) / 2

5 / 2 = 2.5

Answer: 2/5

Step-by-step explanation: Find a number that both the numerator and denominator can be divided by that is the same for both. In this case, both can be divided by 3. That gives us 4/10. Now we do the same thing again, this time the number is 2. Dividing both by 2 gives us 2/5.

The simplest form of the fraction 12/30 is 2/5.

The given fraction is 12/30.

We have to simplify the fraction to simplest form.

To simplify the fraction 12/30 to its simplest form, we need to find the greatest common divisor (GCD) of the numerator and denominator and then divide both by the GCD.

The GCD of 12 and 30 is 6.

We can divide both the numerator (12) and denominator (30) by 6:

12 ÷ 6 = 2

30 ÷ 6 = 5

Therefore, the simplest form of 12/30 is 2/5.

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Answer:

MN = x(x + 1)/(x + 3)

Step-by-step explanation:

We are given;

MN/LN = PN/QN

From the diagram;

Let MN = y

LN = x + 1 + y

PN = x

QN = x + 3 + x = 2x + 3

Thus;

y/(x + y + 1) = x/(2x + 3)

Rearranging gives;

y(2x + 3) = x(x + y + 1)

2xy + 3y = x² + xy + x

x² + x = xy + 3y

x(x + 1) = y(x + 3)

y = x(x + 1)/(x + 3)

Thus; MN = x(x + 1)/(x + 3)

Answer: What do u need help with?

Step-by-step explanation:

Quantitative, discrete, ratio

(i) Quantitative, discrete, interval
(ii) Qualitative, nominal
(iii) Qualitative, ordinal
(iv) Quantitative, discrete, ratio

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The one-sample t-test conducted on the sample data supports the alternative hypothesis that the average time full-time corporate employees work per week is more than 40 hours, with a sample mean of 47 hours and a very small p-value.

Null hypothesis: H0: μ = 40 (average time full-time corporate employees work per week is 40 hours)

Alternative hypothesis: Ha: μ > 40 (average time full-time corporate employees work per week is more than 40 hours)

To test this hypothesis, we can use a one-sample t-test, assuming that the population is normally distributed and that the sample is randomly selected and independent.

The test statistic can be calculated as

t = (X - μ) / (s / √n)

where X is the sample mean (47 hours), μ is the hypothesized population mean (40 hours), s is the sample standard deviation (3.2 hours), and n is the sample size (250).

Substituting the values, we get

t = (47 - 40) / (3.2 / √250) = 31.25

The degrees of freedom for this test is (n-1) = 249. We can find the p-value associated with this test statistic using a t-distribution table or a calculator.

Assuming a significance level of α = 0.05, the p-value is less than 0.0001 (very small). Therefore, we reject the null hypothesis and conclude that there is strong evidence to suggest that the average time full-time corporate employees work per week is more than 40 hours

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Answer:

10x^2 -623x +2

Step-by-step explanation:

the numbers were put in weird so im not sure if this is the answer you were looking for, but thats what i got

The translation of 5 units to the left and 3 units down,The new coordinates are therefore (5, 1).

The coordinates of the image of point B of quadrilateral ABCD after the translation of 5 units to the left and 3 units down.

By multiplying the value of the horizontal translation by the original x-coordinate, get the new x-coordinate of the translated point (adding a negative number if translating to the left).

Let (A,B)=(3,5) serve as the new origin and (x,y)=(3,4) serve as the provided point.

new coordinates are therefore (X,Y).

x = X+A and y = Y+B

such as 3=X2 and 4=Y+5.

This results in X=5 and Y=1

The new coordinates are therefore (5, 1).

The translation of 5 units to the left and 3 units down,The new coordinates are therefore (5, 1).

Determine the coordinates of the image of point B of quadrilateral ABCD after the translation of 5 units to the left and 3 units down. (3,4) will become

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Answer: 65

Step-by-step explanation:

By the geometric mean theorem, the length of the altitude to the hypotenuse has length \(\sqrt{25 \cdot 144}=60\)

So, by the Pythagorean theorem,

\(x=\sqrt{60^2 + 25^2}=65\)

To multiply a square root by a square root and a whole number, you can use the distributive property of multiplication

Given data ,

Let the numbers be represented by the expression A

Now , the value of A is

A = √2 × 3√5

First, you can simplify each square root:

√2 = 1.4142 (rounded to 4 decimal places)

3√5 = 5.1962 (rounded to 4 decimal places)

Next, you can multiply the two simplified square roots and the whole number:

√2 × 3√5 = 1.4142 × 5.1962 × 3

= 22.3607 × 3

= 67.0821

Hence , the expression is A = √2 × 3√5 = 67.0821

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Answer:

i tjink its obtuse im not quite sure though im so sorty if its wrong.

Time taken by Matilda on each project is \(5\frac{7}{12}\) hours.

According to the question we have been given that,

Total time taken by Matilda to complete the consulting projects = \(16\frac{3}{4}\) hours

First we will convert it into simple fraction which is

         \(16\frac{3}{4} = \frac{67}{4} \\\) hours

Number of consulting projects = 3

And Matilda spends same amount of time to each of the project.

To find the time she spend on each project is by using unitary method

that is,            3 projects = \(\frac{67}{4}\) hours

                      1 project = \(\frac{67}{4} / 3\)

                                     = 67/12

                                     = \(5\frac{7}{12}\) hours

Hence time taken by Matilda on each project is \(5\frac{7}{12}\) hours.

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The expression is not equal to the radicand.

What is Radical Index?

The root symbol nx. is known as a radical, and it is thus read "x radical n," or "the nth root of x." The horizontal line in the radical sign is known as the vinculum, the quantity under the vinculum is known as the radicand, and the quantity n written to the left is known as the index.

The radical is defined by the expression

\(\sqrt[n]{a}\)

where a is radicand and n is index.

The index value of square roots is two. When there is no index provided for a radical, it is presumed to be an index of two, or a square root.

\(a^{1/2}\) =\(\sqrt{a}\)

Thus, the expression is not equal to the radicand.

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The expression is not equal to the radicand.

What is Radical Index?

The root symbol nx. is known as a radical, and it is thus read "x radical n," or "the nth root of x." The horizontal line in the radical sign is known as the vinculum, the quantity under the vinculum is known as the radicand, and the quantity n written to the left is known as the index.

The radical is defined by the expression

where a is radicand and n is an index.

The index value of square roots is two. When there is no index provided for a radical, it is presumed to be an index of two or a square root.

= a^(1/2)

Thus, the expression is not equal to the radicand.

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The reduced gradient is analogous to the residual for linear models.

In linear regression, the residual represents the difference between the observed values and the predicted values of the dependent variable. Similarly, in optimization, the reduced gradient represents the difference between the current solution and the optimal solution. It is a measure of how far the current solution is from the optimal solution in the direction of the search. By minimizing the reduced gradient, we can move closer to the optimal solution.

The reduced gradient is a widely used optimization technique in non-linear programming that allows for efficient computation of the descent direction at each iteration while accounting for constraints. It involves calculating a partial derivative of the objective function with respect to the variables that are not restricted by the constraints, and then projecting the resulting gradient onto the space defined by the constraints. The resulting vector is called the reduced gradient, and it points in the direction of the steepest descent that is feasible.

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It would take about 8.59 months for the football player to double his current following, assuming that his follower count continues to increase at a rate of 9% per month.

To find out how long it would take for the football player to double his current online following of 105,326, we need to find the distance from his starting point to the doubling point. In other words, we need to find out how many followers he needs to gain in order to have 2 times his current following.

To do this, we can use the formula for exponential growth:

A = P(1 + r)ⁿ

where A is the final amount, P is the initial amount, r is the rate of growth (in decimal form), and t is the time (in months).

In this case, we want to find t, the time it would take for the football player to double his current following. So we can rewrite the formula as:

2P = P(1 + 0.09)ⁿ

Simplifying this equation, we can divide both sides by P:

2 = (1 + 0.09)ⁿ

Taking the natural logarithm of both sides, we get:

ln(2) = t ln(1 + 0.09)

Solving for t, we divide both sides by ln(1 + 0.09):

t = ln(2) / ln(1 + 0.09)

Using a calculator, we get t ≈ 8.59 months.

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Answer: 4.25 meters of rope

Step-by-step explanation:

Because Donna is losing 7.75 meters of rope from her original 12 meters, this problem can simply be represented as 12 - 7.75, which equals 4.25.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

Slope: 3

Y-intercept: (0, -2)

Step-by-step explanation:

The largest discrepancy between experimental and expected probability can be determined by comparing observed frequencies of the outcomes with expected probabilities for each face of the cube.

To calculate the expected probabilities, we divide the number of favorable outcomes (1 for each face) by the total number of possible outcomes (6 for a standard cube). Thus, the expected probability for each face is 1/6 or approximately 16.67%.  For example, let's say the observed frequencies are as follows: Face 2 (3 occurrences), Face 4 (5 occurrences), Face 6 (4 occurrences), Face 8 (6 occurrences), Face 10 (2 occurrences), and Face 12 (4 occurrences). The observed probabilities can be calculated by dividing the observed frequencies by the total number of trials (in this case, the sum of all observed frequencies, which is 24).

Next, we calculate the difference between the observed probabilities and the expected probabilities for each face. We find the absolute value of each difference to consider both overestimations and underestimations.In this case, let's assume the largest absolute difference is 0.07. To convert the discrepancy to a percentage form, we multiply the largest absolute difference by 100.

In conclusion, the largest discrepancy between the experimental and expected probability in this experiment is 7% when rounded to the nearest whole number.

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  a,b and e  Read the paragraph from The Evolution of Useful Things.

In 1916 the company's sales manager insisted that a laboratory be formed to carry out experiments and tests to ensure quality control so that salesmen would not be embarrassed by faulty products. The laboratory in time made possible the research and development necessary to produce new and improved items in response to problems experienced by sandpaper users.

Which words from the excerpt indicate an order of the events in this paragraph?

In 1916, to carry out

to carry out, ensure

so that, in time

In 1916, in time

the option that represents a socket is c.) "192.168.1.1:80".

A socket is typically represented by a combination of an IP address and a port number.

In the given options:

a.) "01-23-45-67-89-AB" does not represent a valid socket as it is in a MAC address format, not an IP address and port number format.

b.) "21" alone does not represent a valid socket as it is only a single number without an IP address or port number.

c.) "192.168.1.1:80" represents a valid socket as it consists of an IP address ("192.168.1.1") and a port number (":80").

d.) "10.1.1.15" alone does not represent a complete socket as it only contains an IP address without a port number.

Therefore, the option that represents a socket is c.) "192.168.1.1:80".

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Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

Answer:

is it not also 43

Step-by-step explanation:

Answer:

43

Step-by-step explanation: