A triangle has vertices at L:(4, 4), M:(7, 4), and N:(5, 2).

The triangle is translated 7 units down and reflected across the y-axis.


What are the coordinates of L'? Write your answer as an ordered pair for full credit.

Answer:it doesn’t have roots

Step-by-step explanation:

See attached

The values of a, b, c, and d, based on the given equation are:

\(a = 10\\b = 3\\c = -6\\d = -5\)

Let's calculate the values of a, b, c, and d based on the given table:

Using the equation \(y = x^2 - 4x - 2\), we can substitute the values of x and find the corresponding values of y:

For x = -3:

\(y = (-3)^2 - 4(-3) - 2 = 9 + 12 - 2 = 19\)

For x = -2:

\(y = (-2)^2 - 4(-2) - 2 = 4 + 8 - 2 = 10\)

For x = -1:

\(y = (-1)^2 - 4(-1) - 2 = 1 + 4 - 2 = 3\)

For x = 0:

\(y = (0)^2 - 4(0) - 2 = 0 - 0 - 2 = -2\)

For x = 1:

\(y = (1)^2 - 4(1) - 2 = 1 - 4 - 2 = -5\)

For x = 2:

\(y = (2)^2 - 4(2) - 2 = 4 - 8 - 2 = -6\)

For x = 3:

\(y = (3)^2 - 4(3) - 2 = 9 - 12 - 2 = -5\)

Now let's match these values with the table:

\(x , y = x^2 - 4x - 2\)

\(\[\begin{align*}(-3, 19) \\(-2, a) \\(-1, b) \\(0, -2) \\(1, -5) \\(2, c) \\(3, d) \\\end{align*}\]\)

From the given table, we have:

\(a = 10\\b = 3\\c = -6\\d = -5\)

Certainly! Here's a 100-word explanation of the given data:

The data provided consists of pairs of values, where the first column represents the x-values and the second column represents the y-values. Each row in the table corresponds to a data point. For instance, when x is \(-3\), the corresponding y-value is \(19\). Similarly, when x is \(-2\), the y-value is denoted as '\(a\)', and when \(x\) is -\(1\), the \(y\)-value is denoted as 'b'.

The pattern continues for the remaining data points, with specific values assigned to \(x \ and \ y\). This data set allows for the representation and analysis of relationships between the variables \(x \ and \ y\).

Therefore, the values of a, b, c, and d are:

\(a = 10\\b = 3\\c = -6\\d = -5\)

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The standard deviation for this sample data set is 1.93.

What is deviation ?

Deviation refers to the difference between an individual value or observation and the average or mean value of a set of data. It can also refer to the extent to which a variable or set of data deviates from a standard or expected value.

To calculate the standard deviation for a sample data set, we first need to find the mean (average) of the data. In this case, the mean of the data set {5, 7, 6, 9, 6, 4, 4, 6, 5, 2, 5} is 5.45.

Once we have the mean, we can calculate the variance by taking the average of the squared differences between each data point and the mean. The variance is given by:

(1/n) * Σ(x_i - mean)^2

where n is the number of data points and x_i is the i-th data point.

The variance for this data set is 3.70.

Finally, we take the square root of the variance to get the standard deviation.

So, the standard deviation for this sample data set is 1.93.

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Answer: The cat drank 7/9 of the milk in the utensil.

Step-by-step explanation:

To find the fraction of milk that the cat drank, we need to divide the amount of milk the cat drank by the total amount of milk in the utensil.

The cat drank 1 3/4 liters of milk, which is the same as 7/4 liters.

The utensil had 2 1/4 liters of milk, which is the same as 9/4 liters.

So, the fraction of milk that the cat drank is:

(7/4) ÷ (9/4) = 7/9

Therefore,

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Answer:

No

Step-by-step explanation:

Answer:

y = -x - 1

Step-by-step explanation:

Slope (m) formula: \(\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{y_2-y_1}{x_2-x_1}\\\\\frac{-2-(-3)}{1-2}\\\\\frac{-2+3}{1-2}\\\\\frac{1}{-1}\\\\-1\)

y = mx + b

y = -1x + b or y = -x + b

(1, -2)

y = -x + b

-2 = -1 + b

+1    +1

-1 = b

y = -x - 1

Hope this helps!

Answer:

When rounding to the nearest ten, like we did with 1890 above, we use the following rules:

A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Step-by-step explanation:

The value of the final result when 19 is subtracted from 26 will be positive value (7).

According to the question,

We have the following expression:

26-19

Now, we have to find whether the value of this expression will be positive or negative.

We know that when two integers are of different signs then the smaller one is subtracted from the larger one but in the final result the sign remains that of the larger integer.

In this case, 26 is greater than 19 and it is positive.

So, the result will also be positive.

26-19

7

Hence, the value of the final result when 19 is subtracted from 26 will be positive (7).

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The equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100. Option C is correct.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Amount of ammonia in the solution 16%  x 22 gallons  =  3.52 gallons

The proportion of ammonia remains the same as the water evaporates, but the total composition of the solution is decreased by the amount of water that evaporates.

Quantity of ammonia = 3.52 gallons

Quantity of water after evaporation = 22 - n

Composition of ammonia after evaporation of water, 24% = 24/100

Now the percentage of ammonia after evaporates
Quantity of ammonia / Remaining water = 24%
3.52 / (22 - n) = 24 / 100

Thus, the equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100.

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Answer:

Step-by-step explanation:

46.75 - 0.10(46.75) = 46.75 - 4.675 = 42.075 rounds to 42.08

ur simply taking ur discounted price of $ 46.75 and subtracting 10% of 46.75....leaving u with a final price of 42.08

Answer: 614

Step-by-step explanation:

because i did it on edge 2020

The volume of the solid generated by revolving the region about the given line. the region in the first quadrant bounded above by the line y=2 square root 3 is \(16\pi /3 (\sqrt[]{3} - 1).\)

To find the volume of the solid generated by revolving the region in the first quadrant bounded above by the line y=2 square root 3, we need to know the axis of rotation. Assuming the axis of rotation is the x-axis, we can use the method of cylindrical shells.

The region bounded above by the line y=2 square root 3 and the x-axis is a triangle with base length 2(2/√3) and height 2√3. Thus, the area of the region is A = (1/2)(2(2/√3))(2√3) = 4.

To generate the solid, we revolve the region about the x-axis. Consider a horizontal strip of thickness dx at a distance x from the y-axis. The radius of the cylindrical shell generated by this strip is r = 2√3 - x, and the height of the shell is the same as the height of the region, h = 2√3.

The volume of the shell is given by V = 2πrhdx = 4π(2√3 - x)dx.

Integrating from x = 0 to x = 2√3, we have:

\(V = \int\limits{ { 0^(^2^\sqrt[]{3} )} 4\pi (2\sqrt[]{3} - x)}dx\)
 = \(4\pi (2\sqrt{3x} - x^2/2)|0^(^2^\sqrt{3} )\)
 = 16π/3 (√3 - 1)

Therefore, the volume of the solid generated by revolving the region about the x-axis is 16π/3 (√3 - 1).

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Slack and surplus variables are used in linear programming to convert inequality constraints into equality constraints. Slack variables are used for less than or equal to constraints, while surplus variables are used for greater than or equal to constraints.

Slack and surplus variables are artificial variables that are added to inequality constraints in linear programming problems. They are used to convert the inequality constraints into equality constraints, which can then be solved using the simplex method.

Slack variables are used for less than or equal to constraints. They represent the amount by which a constraint is not satisfied. For example, if the constraint is x + y <= 10, then the slack variable s would represent the amount by which x + y is less than 10.

Surplus variables are used for greater than or equal to constraints. They represent the amount by which a constraint is satisfied. For example, if the constraint is x + y >= 5, then the surplus variable s would represent the amount by which x + y is greater than or equal to 5.

The simplex method is an iterative algorithm that is used to solve linear programming problems. It works by starting at a feasible solution and then making a series of changes to the solution until the optimal solution is reached.

The simplex method uses slack and surplus variables to keep track of the progress of the algorithm. As the algorithm progresses, the slack and surplus variables will either decrease or increase. When all of the slack and surplus variables are zero, then the optimal solution has been reached.

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The product 4sin(12p)sin(8p) can be expressed as the sum of two cosine functions: (1/2)cos(4p) - (1/2)cos(20p).

The product 4sin(12p)sin(8p) can be written as a sum using the trigonometric identity for the product of two sine functions. The identity states that sin(A)sin(B) = (1/2)[cos(A-B) - cos(A+B)].

Applying this identity to the given product, we have:

4sin(12p)sin(8p) = (1/2)[cos(12p - 8p) - cos(12p + 8p)]

Simplifying the angles inside the cosine functions, we get:

4sin(12p)sin(8p) = (1/2)[cos(4p) - cos(20p)]

Therefore, the product 4sin(12p)sin(8p) can be expressed as the sum of two cosine functions: (1/2)cos(4p) - (1/2)cos(20p).

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The volume of the display case is 2161 1/8 cubic inches.To find the volume of a rectangular prism-shaped display case, we multiply its length, width, and height.

Given that the display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall, we can calculate the volume as follows:

Volume = Length * Width * Height

Using the given measurements:

Volume = 10 1/2 inches * 30 1/2 inches * 32 1/4 inches

To simplify the calculation, we can convert the mixed numbers to improper fractions:

Volume = (21/2) inches * (61/2) inches * (129/4) inches

Next, we multiply the fractions:

Volume = (21/2) * (61/2) * (129/4) = 17289/8

The resulting fraction, 17289/8, is an improper fraction. To convert it back to mixed number form:

Volume = 2161 1/8 in³.

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The equation that shows the amount of water in the tank after x minutes is given by y = 5x + 15

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let y represent the amount of water in the tank after x minutes. Water is flowing slowly in at a rate of 5 liters per minute, hence:

y = 5x + 15

At 1 minute, x = 1: y = 5(1) + 15 = 20

At 2 minute, x = 2: y = 5(2) + 15 = 25

At 3 minute, x = 3: y = 5(3) + 15 = 30

The equation that shows the amount of water in the tank after x minutes is given by y = 5x + 15

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Answer:

Equation: 2 x 8 = 16

Step-by-step explanation:

1.8 ≈ 2

8 ≈ 8

2 x 8 = L

L = 16

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

2/3

Step-by-step explanation:

im pretty sure that's the answer

Answer:

y=3x-6

Step-by-step explanation:

Answer:

2x+3y

Step-by-step explanation:

If you simplify the term or combine like terms for x+y+y+x+y you get 2x+3y

Answer:

3 + x = 27 x= 24

30/6 = 5

Step-by-step explanation:

6x5 = 30

27-3 = 24

Answer:

Subtraction Property of Equality with 3

multiplication property of equality with 6

Step-by-step explanation:

just did a test on edge and got a 100%

Answer:

ok im just going to say what i know is yes or no considering if they gave the equation than the graph it would have been easier (for questions 11 and 12) so here are 2 answers. its all i could do.

Step-by-step explanation:

10: Yes

13: yes

In part (a), we simplify the given expression using the properties of exponents and rational exponents. In part (b), we substitute the given values of m, n, and t into the simplified expression to evaluate it.

(a) To simplify the given expression, we apply the properties of exponents and rational exponents.

(r³m / r^⁻m t⁴ⁿ)¹/ⁿ can be rewritten as r^(³m - 1) / t^(4n)^(1/n) by applying the rule (a/b)^c = a^c / b^c.

Next, (r¹/ⁿ / t²/m)^⁻m can be simplified as (r^((1/n) * -m) / t^((2/m) * -m)) by applying the rule (a/b)^c = a^c / b^c.

Combining the two simplified expressions, we have r^(³m - 1) / t^(4n)^(1/n) * r^((1/n) * -m) / t^((2/m) * -m).

(b) To evaluate the expression when m = 1, n = 2, and t = -3, we substitute these values into the simplified expression obtained in part (a).

Substituting the values, we have r^(³ - 1) / (-3)^(4*2)^(1/2) * r^((1/2) * -1) / (-3)^((2/1) * -1).

Simplifying further, we get r^2 / (-3)^8^(1/2) * r^(-1/2) / (-3)^(-2).

Now, we simplify the expression by evaluating the exponent and performing the calculations.

Finally, we obtain the numerical value of the expression based on the given values of m, n, and t.

Therefore, by substituting m = 1, n = 2, and t = -3 into the simplified expression, we can evaluate the value of the expression.

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Answer:

Answer is A

Step-by-step explanation:

Area of the base = Area of Rectangle = Length x Width = 15x7.

Given:

Total savings = $400

Ratio of savings of Blake and Josh = 3:1

To find:

The saving of each.

Solution:

Let the savings of Blake and Josh are 3x and x respectively.

According to the question,

\(3x+x=400\)

\(4x=400\)

Divide both sides by 4.

\(x=100\)

Now,

Savings of Blake = 3(100)=300

Savings of Josh =100

Therefore, the savings of Blake and Josh are $300 and $100 respectively.

The amount of sandwiches purchased in total is 27.

The term "system of equations" or "equation system" in mathematics refers to a finite set of equations for which common solutions are sought. A set of simultaneous equations is sometimes known as a system of equations or an equation system.

Let the sandwiches be represented as x.

Let the fries be represented as y and drinks be represented as z.

The total cost is given as $100, that is:

x + y + z = 100 (equation 1)

Drinks and fries' cost $73.27, this can be written as:

y + z = 73.27 (equation 2)

Substitute the value of y + z = 73.27 in equation 1:

x + 73.27 = 100

x = 100 - 73.27

x = 26.73

The total amount spent on sandwiches is $26.73.

One sandwich cost $0.99.

The number of sandwiches purchased in $26.73 is:

n = 26.73/ 0.99

n = 27

Hence, the total number of sandwiches purchased is 27.

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Answer:

C

Step-by-step explanation:

Answer:

C     (20.25)

Step-by-step explanation:

Formula = A=\(\frac{c^2}{4\pi }\)

A=\(\frac{9^2}{4\pi }\)

A=81/4pi

Area=20.25\(\pi\) meters

Answer:

X= - 4

X= - 8

Step-by-step explanation:

-x - 1 +7 =10

-x +6 =10

-x = 10-6

-x = 4

Divide by - 1

X = - 4

4x +7=2x-9

4x-2x =-9 - 7

2x =-16

Divide by 2

X = - 8

The value r², called the coefficient of determination, measures the proportion of variability in one variable that can be determined from its relationship with the other variable.

The higher the value of r2, the more of the variation in the dependent variable can be attributed to the independent variable(s), and therefore the better the relationship between the two variables is. Overall, the coefficient of determination is an important statistical measure that is used to evaluate the strength and fit of regression models. It allows researchers to determine how much of the variation seen in the dependent variable can be explained by the independent variable(s), which can help in making predictions and drawing conclusions from the data.

It represents the strength and direction of the correlation between two variables, helping to quantify their linear association. A higher r² value indicates a stronger relationship between the variables, while a value close to zero signifies a weak or no relationship.

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Answer:

see explanation

Step-by-step explanation:

A translation of 6 units up means adding 6 to the y- coordinate

A translation of 3 units left means subtracting 3 from the x- coordinate

The translation rule is (x, y ) → (x - 3, y + 6 ) , then

A (- 1, 2 ) → A' (- 1 - 3, 2 + 6 ) → A' (- 4, 8 )

B (1, 5 ) → B' (1 - 3, 5 + 6 ) → B' (- 2, 11 )

The triangle in the figure is an obtuse triangle

There are three main types of triangles: right triangles, acute triangles, and obtuse triangles. Right triangles have one angle that is 90 degrees, while acute triangles have all angles less than 90 degrees, and obtuse triangles have one angle that is greater than 90 degrees. A scalene triangle is a triangle with three different side lengths and three different angle measurements. The total of all interior angles, however, is always equal to 180 degrees.

In this triangle, we have one of the sides greater than 90 degrees.

This makes the triangle an obtuse triangle.

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