solve for x: -2(x+3)= -2(x+1) -4

To determine whether R is a well-defined function, we need to check whether for each value of x in the domain, there exists a unique value of y in the range such that (x, y) belongs to R.

First, let's look at the domain of R, which is R (the set of all real numbers). For any given value of x in R, we can find the corresponding value of y by solving the equation x2 + y2 = 1. This is a well-defined equation and has a unique solution for y, given any value of x. Therefore, for each value of x in the domain, there exists a unique value of y in the range such that (x, y) belongs to R.

Next, we need to check whether R satisfies the condition that if (x1, y1) and (x2, y2) both belong to R and x1 = x2, then y1 = y2. In other words, we need to make sure that there are no two different values of y corresponding to the same value of x.

Suppose (x1, y1) and (x2, y2) both belong to R and x1 = x2. This means that x12 + y12 = 1 and x22 + y22 = 1. Subtracting the second equation from the first, we get:
x12 - x22 + y12 - y22 = 0

Since x1 = x2, we have x12 - x22 = 0, so: y12 - y22 = 0
This implies that y1 = y2, which means that there cannot be two different values of y corresponding to the same value of x.

Therefore, R is a well-defined function, since it satisfies both conditions for a function to be well-defined.

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Answer:

13, 21, 34, 55, 89 are the next five numbers in the sequence.

Step-by-step explanation:

It's known as the Fibonacci sequence. Every term is the sum of the previous two. If you add the terms of the sequence then the result of each of the sums will form a sequence as well. For this sequence 1+1=2, 2+3=5, 5+3=8, 8+5=13, 13+8=21, 21+13=34, 34+21=55, 55+34=89 and so on.

Answer:

\(g=\frac{9}{2}, \\x=-6\)

Step-by-step explanation:

Answer:

£2.05 for a tin of Baked Beans. ( If 2 packs of bacon cost 2.50)

if not it is £0.80 or 80p and I am guessing the question is "How much does a tin of baked beans cost?"

Step-by-step explanation:

b = number of boxes of eggs

p = number of packs of bacon

t = number of tins of beans

He has a total of £10.

1 box of Eggs cost £2.70

2 packs of bacon cost £2.50, so one pack costs £1.25

or-----------------------

b = number of boxes of eggs

p = number of packs of bacon

t = number of tins of beans

He has a total of £10.

1 box of Eggs cost £2.70

1 pack of bacon cost £2.50

The graph of y = f(x) may or may not be a linear function

A point on the graph of the function y = 4f(x) is (2,16)

The function is given as:

y = f(x)

The point on f(x) is given as: (2,4)

This means that:

f(2) = 4

For y = 4f(x), we have:

y = 4 * f(2)

This gives

y = 4 * 4

Evaluate

y = 16

Hence, a point on the graph of the function y = 4f(x) is (2,16)

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Answer:

Reflexive property

Step-by-step explanation:

The property means that a real number is always equal to itself. For example, x=x. It works for all real numbers and is pretty simple. 3=3, 7.5=7.5 and etc

Answer:

3a+2b+4

Step-by-step explanation:

24ab indicates that there is 24 of unit ab which there is not. there is 4+ 3a+2b

Answer:

y =3x + 6

Step-by-step explanation:

The gradient of a line is its slope, the rate of change of y with x.

The gradient (m) of the line in question is said to be:

m = 3

The same line passes thru the point, (x₁, y₁):

x₁ = -1

x₁ = -1y₁= 3

\( \boxed{ \mathsf{y - y _1 = m(x - x _1 ) }}\)

putting the values in place

y - 3 = 3(x - (-1))

two minus make a plus

y - 3 = 3(x + 1)

y - 3 = 3x + 3

isolating y (sign of 3 changes as it changes its side)

y = 3x + 3 + 3

y = 3x + 6

That is the required equation of the line.

Answer:

A) 3w(w-7)

Step-by-step explanation:

\(\frac{w-5}{w-7} and \frac{w+8}{3w}\)

w-7 is a binomial, and 3w is a monomial. Because you cannot put one denominator into the other or multiply both denominators by a number when you have this type of difference where multiplying by a number won't get you the same result, you must multiply them each other.

Therefore:

3w(w-7) would be your LCD.

Answer:

Step-by-step explanation:

Fractions

We observe that the fractions can't be simplified any more and they are in the simplest form

Next, the denominators w - 7 and 3w don't have common factors

Therefore the common denominator is the product of denominators:

Correct option is A

f(t) = 250cos(2π/3t) + 750 is the equation of the cosine function that describes the frequency of this siren

The generic cosine function is f(x) = Acos(B(x - C)) + D where:

A is the amplitude

B is 2π/period

C is the horizontal shift

D is the vertical shift (midline location)

In given problem,

we can calculate D = 750 Hz (since that is halfway between the max and min)

We can calculate that A = 250 Hz (since the max or min is 250 from the midline)

We can deduce that C = 0 (since the function maximum is at t = 0 and that's what the basic cosine function does)

We can calculate B as 2π/3 (since the period is 3 seconds)

Then we can put these all together:

f(t) = 250cos(2π/3t) + 750

Hence , f(t) = 250cos(2π/3t) + 750 is the equation of the cosine function that describes the frequency of this siren

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The area of the section containing orange tulips is38.25 square  bases.      

To find the area of the section containing orange tulips, we need to determine the  confines of that section and  also calculate its area.  

To find the area of the section containing orange tulips, we need to determine the  confines of that section.

From the given pattern, it appears that the square plot is divided into four sections.  Looking at the pattern  handed, the section containing orange tulips is described by the  confines8.5 ft by4.5ft.

To find the area, we multiply the length by the  range.  Area =  length *  range  Area = 8.5 ft *4.5 ft  Area = 38.25 square  bases.

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The optimal solution, obtained through graphical method, is: x₁ = 4, x₂ = 2, with the maximum value of Z = 80.

To solve the given linear programming problem graphically, we start by plotting the feasible region defined by the constraints:

Constraint 1: 10x₁ + 20x₂ ≤ 120

Constraint 2: 8x₁ + 8x₂ ≤ 80

Non-negativity constraint: x₁ ≥ 0, x₂ ≥ 0

The feasible region is the area of the graph that satisfies all the constraints.

Next, we calculate the objective function Z = 12x₁ + 16x₂. We plot the objective function as a line on the graph.

The optimal solution, which maximizes Z, is the point where the objective function line intersects the boundary of the feasible region.

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Here is the Answer Hope this will be Helpful:-

To find two consecutive odd integers, you need to:-Denote the smallest of them by 2x + 1. Write the next integer as 2x + 3. If needed, use the representation to describe the integers' properties. Use the algebraic description to find the integers. Enjoy your two consecutive odd integers.

Answer:

Im not certain but it might be (3,11)

Step-by-step explanation:

The interest rate for his account was r ≈ 1.375% .

The angle M of the parallelogram is; ∠ M = 145°

In a parallelogram, there are four angles with angles on the same line summing up to 180°.

Now, we are told that angle J is 35°. But angle M is on the same line as that of angle J and as such;

∠J + ∠ M = 180°

35° + ∠ M = 180°

∠ M = 180° - 35°

∠ M = 145°

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The number of 4-letter words that can be formed without any condition imposed is 8,064.

To determine the number of 4-letter words that can be formed without any conditions, we can use the concept of permutations. Since we have 8 options (a, b, c, d, e, f, g) for each letter position, we can multiply the number of options for each position to find the total number of possibilities.

For the first letter position, we have 8 options to choose from. Similarly, for the second, third, and fourth positions, we also have 8 options each. Therefore, the total number of possibilities is:

8 options for the first position × 8 options for the second position × 8 options for the third position × 8 options for the fourth position = 8 × 8 × 8 × 8 = 8,064.

Hence, there are 8,064 possible 4-letter words that can be formed without any conditions imposed.

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Answer:

Answer → 63°

Step-by-step explanation:

» m<3 and m<4 are supplementary angles.

☑ Supplementary angles are angles that measure up to 180°

\({ \tt{m \angle 3 + m \angle 4 = 180 \degree}} \\ { \tt{117 \degree + m \angle 4 = 180 \degree}} \\ { \tt{m \angle 4 = 180 \degree - 117 \degree}} \\ { \tt{m \angle 4 = 63 \degree}}\)

(C) Regression analysis is the statistical method commonly used to estimate the level and trend in a time series by modeling the relationship between the data and independent variables.

Regression analysis is the statistical method used to estimate the level and trend in a time series. Time series data represents observations taken at different points in time and is commonly used to analyze trends and patterns over time.

Regression analysis allows us to model the relationship between a dependent variable (in this case, the time series data) and one or more independent variables (such as time or other relevant factors). By using regression analysis, we can identify the underlying trend in the time series and estimate its level.

The regression model captures the relationship between the dependent variable (the time series) and the independent variable(s) by fitting a line or curve that best represents the data. This line or curve helps to identify the overall trend and level of the time series.

While moving average, simulation method, covariance analysis, and correlation analysis are useful techniques in analyzing time series data, they are not specifically designed to estimate the level and trend in a time series. Therefore, (C) regression analysis is the most appropriate method for estimating the level and trend in a time series.

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Answer:

0.6 centimeter

Step-by-step explanation:

The picture below should help you see the tenth place, or where we are rounding to! Since, the number after the tenth place is above 4, we are going to round the tenth place up :)

0.5835 cen. → 0.6 cen.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

ok

Step-by-step explanation:

Answer:

y=-1/2x-1

Step-by-step explanation:

Answer:

The first option

Step-by-step explanation:

You do 1.68/3 and get .56

meaning that each can in the 3 pack is .56 cents

Next do 2.45/5 to get .49

meaning that each can in the 5 pack is .49 cents

which means that the 5 cans is a better buy

Answer:

c. 14

Step-by-step explanation:

12 - 5 = 7

needs to be a multiple of 7 which 14 is

a. The inventory model that fits the best to this problem is the EOQ (Economic Order Quantity) model.

b. Scary Clowns should produce approximately 656 cases in each batch (rounded to the nearest integer).

c. The total annual setup and holding cost for Scary Clowns using this policy is approximately $26,320 (rounded to the nearest dollar).

b. To determine the optimal batch size (Q), we can use the EOQ formula:

Q = √((2DS) / H)

Where:

D = Annual demand (850 cases every 3 months)

S = Setup cost ($5,100)

H = Holding cost per case ($13)

Plugging in the values, we have:

D = 850 * (12 / 3) = 3,400 cases per year

S = $5,100

H = $13

Q = √((2 * 3,400 * 5,100) / 13)

Q ≈ 656.48

c. To calculate the total annual setup and holding cost, we can use the following formula:

Total Cost = (D / Q) * S + (Q / 2) * H

Plugging in the values, we have:

Total Cost = (3,400 / 656) * 5,100 + (656 / 2) * 13

Total Cost ≈ $26,319.51

As a result, the total annual setup and holding cost for Scary Clowns under this policy is around $26,320 (rounded to the closest dollar).

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Answer:

3.75

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Verify, give me brainliest, and rate, and say thank you

Answer:

log ( \(\frac{x^2-2x(x-1)}{(x-1)^2}\) )

Step-by-step explanation:

to find (f ◦ g)(x) , substitute x = g(x) into f(x)

= log ( ( \(\frac{x}{(x-1)^}\) )² - 2(\(\frac{x}{x-1}\) ) )

= log ( \(\frac{x^2}{(x-1)^2}\) - \(\frac{2x}{x-1}\) ) ← express as a single fraction

= log ( \(\frac{x^2-2x(x-1)}{(x-1)^2}\) )

Answer:

A- the graph of f(x) is shifted 7 units down

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The slope of the given line is \(\frac{2}{3}\).

If a line passes through two points (x₁, y₁) and (x₂, y₂) respectively, then slope of the line is \(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

Here, the given line passes through points (0, 6) and (-9, 0).

Therefore, the slope of this line is (m)

\(= \frac{0 - 6}{-9 - 0}\\= \frac{6}{9} \\= \frac{2}{3}\)

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Answer:

y = 21

Step-by-step explanation:

y = | x - 9 | + 2 ( substitute x = - 10 )

  = | - 10 - 9 | + 2

  = | - 19 | + 2

  = 19 + 2

  = 21