Find the equation of the line that is parallel to Y = 1/2x -4 and contains the point (4,5)

Answer:

  (-∞, -3] or [-3, ∞)

Step-by-step explanation:

You want the largest domain interval(s) on which the function shown in the graph could be one-to-one.

A one-to-one function must pass the horizontal line test. That is, no horizontal line can intersect its graph in more than one place.

For that to be true of the given function, the interval on which it is defined cannot include values on both sides of x=-3, where the graph has a minimum. That is, the domain must be either x ≤ -3, or x ≥ -3, (or some subset of either of these).

The largest intervals on which the function has an inverse are ...

  (-∞, -3]  or  [-3, ∞)

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To make the given function one-to-one and have an inverse, we can restrict its domain to (-∞, a) or (a, ∞), where 'a' is the x-coordinate of the highest or lowest point on the graph.

To make the given function one-to-one and have an inverse, we need to restrict its domain. The largest domains, in interval notation, that can be used are: (-∞, a) or (a, ∞) where 'a' is the x-coordinate of the highest or the lowest point on the graph, depending on the function type.

If the graph has a highest point, the domain is restricted to (a, ∞), where 'a' is the x-coordinate of the highest point. If the graph has a lowest point, the domain is restricted to (-∞, a), where 'a' is the x-coordinate of the lowest point.

For example, if the graph has a highest point at (3, 5), the domain would be restricted to (3, ∞) to make the function one-to-one and have an inverse.

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Answer:

203

Step-by-step explanation:

186+17= 203

(You add because the 17 is originally negative, therefore, the negative and subtraction sign cancel eachother out and cause the equation to become an addition problem. (edited)

The difference between the two elevations is 203.

What is the difference between the two numbers?

The difference between two numbers implies the actual distance between that two points in the number line.

Here, the elevation of Lake Superior is 186 feet above the sea level, it can be treated as (+186)feet

and the elevation of Caspian Sea is 17 feet below of sea level, it can be treated as (-17)feet.

Now, the difference between two elevation of the lake is = 186-(-17)feet

=203 feet.

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The equation will be  \(y=40000+16000*x\)

Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

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count the number of triangles,calculate the area then multiply by the no of triangles and again back to rectangle

The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.

The total number of visitors is 105 + 41 + 8 = 154.

The number of visitors who purchased one or more costumes is 41 + 8 = 49.

So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.

Answer:

\(\Huge \boxed{\boxed{ x = 1}}\)

Step-by-step explanation:

Isolate the variable on one side of the equation before trying to solve it. It means that you should only have constants (numbers) on the other side of the equal sign and the variable alone on the one side.

To do this, you can add, subtract, multiply, divide, or use any other operation to both sides of the equation as long as you do the same thing on both sides.

Your final step depends on the equation and how you've simplified it. In general, you want to figure out how you arrived at the final equation by working backwards from it. You'll isolate the variable in the last action you took.

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Step1: Subtract \(\bold{2x}\) from both sides

Step 2: Subtract 3 from both sides

Step 3: Divide both sides of the equation by 6

So the solution to the equation \(\bold{8x + 3 = 2x + 9}\) is \(\bold{x = 1}\).

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The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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The 4ml of this solution, this patient will need in a day.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that 80 kg patient needs a medication X in the amount of 0.25 mg/kg/day.

The medication comes in a liquid solution of 50 mg for every 10 ml therefore,

0.25 x 80 = 20mg/day

50/10 = 5mg/ml

Then the patient need in a day;

20/5= 4ml

Theefore, The solution, this patient will need in a day is 4 ml.

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The required solution is 5+39e.

What is arithmetic?

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications

Given :

Write down the question as an algebra problem, with the unknown as X

The unknown is a number plus 5, so we write it as (X+5). The product is four times (X+5), so we write it as 39(X+5). Set it equal to e, as per the question, 5+39e

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Answer:

y=-4x-1

Step-by-step explanation:

All you have to do is isolate the "y", so you subtract 4x from the left and right side, leaving you with the answer above.

Answer:

20,3193

Step-by-step explanation:

Population decrease per year in city = 3.7%

Current population = 211,000

Next year's population = 211,000*3.7/100

                                      = 7807

                                      = 211,000-7807

                                      =203193

Next year's population= 203193

Therefore, next year's population will be equal to 20,3193.

The next year's population is 203193.

Given that, the population of a city decreases by 3.7% per year.

If a constant rate of growth be R% per annum, then population after n years = \(P(1+\frac{R}{100})^n\).

If the constant decrease in population be R% per annum, then the population after n years = \(P(1-\frac{R}{100})^n\).

This year population is 211,000.

Now, \(211000(1-\frac{3.7}{100})^1\)

= 211000×0.963

= 203193

Hence, the next year's population is 203193.

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.

The meaning of the statement, "if the function has no parameters, then the class C is definable" is that if there are no parameters given then the class c can be defined with an empty set but if there are no parameters, then the class cannot be defined.

The meaning of the above statement is that if no parameters are provided for this function, then the given class represented as c can be defined with an empty set that is enclosed in parameters.

Also, if the parameters are given then the class c is not defined.

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Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Answer:

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

Step-by-step explanation:

Let the number be x;

The product of 4 and the number will be;

\(= 4 * x\\\\= 4x\)

The the square of the number is given as;

\(= x^2\\\)

Taking the difference of both expressions above;

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

Factor out the common term:

\(= x(4-x)\\\\\)

Hence the difference between the product of 4 and a  number and the square of the number is \(= 4x-x^2\\\\\)

Answer  :      x= \(\sqrt{2wy}\)/ y

Step-by-step explanation:

Answer:

Mark me brainliest

Answers are, they are congruent, and corresponding angles are proportional

Step-by-step explanation:

The woman will withdraw $300 given 6%   interest rate annually.

We can use the formula for simple interest to solve this problem:

I = Prt

where I is the interest earned, P is the principal (initial deposit), r is the annual interest rate as a decimal, and t is the time in years. Since the interest rate is given as an annual rate, we need to convert it to a daily rate by dividing by 365:

r = 0.06/365 = 0.00016438356

The time in years is 120/365 = 0.3287671233 years. Now we can plug in the values and solve for I:

I = 300 * 0.00016438356 * 0.3287671233 = 0.01699999999

The interest earned is $0.017, which is negligible. Therefore, the woman will withdraw the entire principal plus any interest earned, which is:

300 + 0.017 = $300.02

Rounding to the nearest dollar, the woman will withdraw $300.

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The parametric equations are mathematically given as

(x(t), y(t), z(t))= (2-4t, 1-t, t)

Generally, To express the parametric point from A (2,1,0) to B(-2,0,1) in parametric form, we can use the following equation:

P(t) = (2-4t, 1-t, t)

To find the parametric equations for a point moving from A to B, we can use the following formula:

x = x₁ + t(x₂ - x1)

y = y₁ + t(y₂ - y₁)

z = z₁ + t(z₂ - z₁)

Where (x₁, y₁, z₁) is the starting point (A), (x₂, y₂, z₂) is the ending point (B), and t is a parameter that varies from 0 to 1.

Using this formula, the parametric equations for a point moving from A (2,1,0) to B(-2,0,1) are:

x = 2 + t(-2 - 2)

= 2 - 4t

y = 1 + t(0 - 1)

= 1 - t

z = 0 + t(1 - 0)

= t

These equations describe the motion of a point that starts at A, moves along the line segment from A to B, and arrives at B when t = 1.

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The complete Question was found

Find parametric equations for the line. (Use the parameter t.)

The line through points A (2,1,0) to B(-2,0,1)

(x(t), y(t), z(t))= \((\square)\)

Answer:

sometimes a square could be a parallelogram too and a rhombus and a normal parallelogram

Step-by-step explanation:

it has two parallel pairs

Answer:

0.45 miles per minute

Step-by-step explanation:

Answer:

\(8^{20}\)

Step-by-step explanation:

using the rule of exponents

\((a^m)^{n}\) = \(a^{mn}\) , then

\((8^5)^{4}\) = \(8^{5(4)}\) = \(8^{20}\)

Answer:

Rate of depreciation = 27%

Step-by-step explanation:

Given:

Purchase price = $32,650

Rate in 2020 = $23,834.50

Find:

Rate of depreciation

Computation:

Depreciation = Purchase price - Rate in 2020

Depreciation = $32,650 - 23,834.50

Depreciation = $8,815.5

Rate of depreciation = [8,815.5 / 32650] 100

Rate of depreciation = 27%

Answer:

Your answer would be: 240,000

Step-by-step explanation:

The correct option is D. The graph of f(x) is shifted 10 units down.

In mathematics, a graph is described as a pictorial depiction or diagram that organizes data or values.

The graph's points frequently represent the relationship among two or more things.

For the given question;

The function is given as; f(x) = 1/x

Where x is the domain which is shown on x axis.

and f(x) is the range which is shown on y axis.

Thus, for the relation of g(x) = 1/x -10.

Whatever the value of the input for x, the output is shown on y axis.

Now, as the value expression is decreased by 10, thus the output value for y will reduced by 10.

Therefore, the graph of f(x) will shift downward by 10 units.

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Answer:

75

Step-by-step explanation:

The lines l and m are already parallel so in order for that to be correct the measure of angle x would be 75 degrees :)

Answer:

Step-by-step explanation:

To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).

So, for y = x^4 - x, we can find the derivative as follows:

y' = 4x^3 - 1

So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.

Answer: d=20?

Step-by-step explanation:

Answer:

Pics block

Step-by-step explanation: