The economic value of the 2000th unit is $_______, and the minimum price producers will accept to produce this unit is $ ________.

Answers

Answer 1

a. The market or equilibrium price is $37.5.

b. The economic value of the 10,000th unit is $42.5, and the minimum price producers will accept to produce this unit is $30.

The market equilibrium point is a point where the quantity supplied in the market by the sellers is equal to the quantity the consumer's purchase. At the equilibrium point, the sellers receive a price equal to what the consumers pay.

From the graph, the market equilibrium point occurs at the point where the demand curve crosses the supply curve. At this point, the equilibrium price is $ 37.5

The economic value of the 10,000th unit is $42.5, and the minimum price producers will accept to produce this unit is $30. The economic value of the 10,000th unit is the price when the quantity demanded is 10,000 units, and the minimum price the producers are willing to accept for the 10,000th unit is the price on the supply curve when 10,000 units are produced.

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--The complete question is, Use the linear demand and supply curves shown below to answer the following questions:
a. The market or equilibrium price is $ _____.

b. The economic value of the 10,000th unit is $_____, and the minimum price producers will accept to produce this unit is $_____.--

The Economic Value Of The 2000th Unit Is $_______, And The Minimum Price Producers Will Accept To Produce

Related Questions

easy math if you can answer ill give brainlest

easy math if you can answer ill give brainlest

Answers

Answer:

16= 2 (3+b)

16 = 6+2b

10 = 2b

b = 5

Step-by-step explanation:

UB nu un MB a nshauIduxoa

What expression -5+(-5r)+10​

Answers

The answer for the question is -5r+5

Which similarity statements would be true for the figure? (Select all that apply)


A.
∆ DAB ~∆ DAC
B.
∆ ABD~∆ CBA
C.
∆ DAB~∆ DCA
D.
∆ BCA~∆ ACD
E.
∆ BAC~∆ DCA

Which similarity statements would be true for the figure? (Select all that apply)A. DAB ~ DACB. ABD~

Answers

Answer:

The correct answers would be

B, C, and D.

Step-by-step explanation:

B) ΔABD ~ ΔCBA

∠B is congruent to ∠B (itself) by the Reflexive Property.

C) ΔDAB ~ ΔDCA

I took the quiz and got this one right though I'm not 100% sure how it works.

D) ΔBCA ~ ΔACD

∠C is congruent to ∠C through the Reflexive property.

I hope this helps :)

I tried my best

The similarity statement that would be true for the given figure is; A.

∆ DAB ~∆ DAC

How to Identify similar triangles?

Similar triangles are those triangles that have the same proportionate side lengths as well as related angle measurements.

Two triangles are said to be similar if their corresponding angles and sides have the same ratio. Similar triangles will possess the same form but may or may not have the same size.

The SAS similarity rule states that If the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle inscribed by the two sides in both the triangle are equal, then it means that the two triangles are similar.

The Side-Side-Side (SSS) similarity rule states that If all the three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.

In this question, when we analyze the triangles well, it is clear that;

DA is congruent to itself by reflexive property of congruence.

Thus, we can say that ΔDAB is similar to ΔDAC,

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If a coin is randomly chosen from a jar that contains exactly `4` pennies, 3 nickels, and 8 dimes, what is the probability that the coin will NOT be a penny or a nickel?

Answers

Answer:

53.33%

Step-by-step explanation:

There are a total of 4 + 3 + 8 = 15 coins in the jar. If we want to find the probability that the coin will not be a penny or a nickel, we need to find the number of coins that are not pennies or nickels, and divide that by the total number of coins in the jar.

The number of coins that are not pennies or nickels is 8 dimes. Therefore, the probability that the coin will not be a penny or a nickel is:

8 / 15

This simplifies to:

0.5333 or 53.33%

Therefore, the probability that the coin will NOT be a penny or a nickel is approximately 0.5333 or 53.33%.

Dados os polinomios:
X-2=
X-3=
X+1=
X+5=

Answers

Answer:

X-2=1

X-3=2

X+1=2

X+5=6

Please answers question 5 (the line under H is labeled E, just got cut off the picture

Please answers question 5 (the line under H is labeled E, just got cut off the picture

Answers

Answer:

150

Step-by-step explanation:

Knowledge

x^3-x guys plz factorise this for me​

Answers

Answer:

X(X+1)(X+1)

Solution,

x^3-x

take the common,

X(x^2-1)

=X(X+1)(x-1)

You have to use the formula:

a^2-b^2=(a+b)(a-b)

Hope it helps

Good luck on your assignment

Answer:

\(= x(x - 1)(x + 1) \\ \)

Step-by-step explanation:

\( {x}^{3} - x \\ x( {x}^{2} - 1) \\ x( {x}^{2} - {1}^{2} ) \\ = x(x - 1)(x + 1)\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Could someone explain to me how to do this? I'd like to know before my test, please!

Find the value of x for which a || b

Could someone explain to me how to do this? I'd like to know before my test, please! Find the value of

Answers

Answer:

Since a and b are parallel

Step-by-step explanation:

2x+27=3x - 27

collect the like terms

3x-2x=27+27

x=54

PLS MARK BRAINLIEST

Answer:

x = 54

Step-by-step explanation:

If the lines are treated as parallel , then

(3x - 27) and (2x + 27) are alternate exterior angles and congruent, so

3x - 27 = 2x + 27 ( subtract 2x from both sides )

x - 27 = 27 ( add 27 to both sides )

x = 54

For a and b to be parallel then x = 54

How do you find the derivative of the function using the definition of derivative f(x)=10?

Answers

The derivative of of f(x) = 10 is 0

The derivative of a function is the measure of the rate of change of the function. They are fundamental to the solution of problems in calculus and differential equations.

Here the function is not changing as 10 is a constant. So, if f(x) = c where c is a constant then f'(x) = 0 as the derivative of a constant is always zero.

Mathematically:

           d(f(x))/dx = \(\lim_{h \to 0}\) (f(x+h) - f(x))/h

There  is no x to substitute for x + h so no difference is noticed:

             \(\lim_{h \to 0}\) (f(x+h) - f(x))/h =   \(\lim_{h \to 0}\) (10 - 10)/h = 0

Hence, the derivative of f(x) = 10 is 0

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the product of 120 and b is equal to 312
Write the sentence as an equation.

Answers

Answer:

120 + b = 312

Step-by-step explanation:

...

The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H=f(t), where t is in minutes since the colfee was put on the counter. (a) Is f ′(t) positive or negative?

Answers

In order to determine whether f'(t), the derivative of the temperature function f(t), is positive or negative, we need more information about the specific function f(t). Without additional details or the form of the function, we cannot determine the sign of the derivative.

The derivative f'(t) represents the rate of change of the temperature with respect to time. If f'(t) is positive, it means the temperature is increasing over time. If f'(t) is negative, it means the temperature is decreasing over time. However, without knowing the specific form or characteristics of the function f(t) that describes the temperature, we cannot determine the sign of the derivative. The sign of the derivative depends on the behavior of the function, such as whether it is increasing or decreasing, concave up or concave down, or has any specific patterns or constraints. To determine whether f'(t) is positive or negative, we would need additional information about the function, such as its formula, behavior, or constraints.

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(Question 4)
State The Slope

(Question 4)State The Slope

Answers

Answer: The slope of the line passing through the points (1,-1) and (4,3) is 4/3

Answer:   4/3

Explanation:

The two points marked on the green line are (1,-1) and (4,3)

Let's use the slope formula.

\((x_1,y_1) = (1,-1) \text{ and } (x_2,y_2) = (4,3)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{3 - (-1)}{4 - 1}\\\\m = \frac{3 + 1}{4 - 1}\\\\m = \frac{4}{3}\\\\\)

The slope is 4/3

slope = rise/run = 4/3

rise = 4

run = 3

It means "go up 4 and to the right 3" so we can move from (1,-1) to (4,3).

(Question 4)State The Slope

Find the power set for the following sets (Write 3 examples of each)
a) Two sets A & B both having any 2 elements
b) Two sets A & B both having any 3 elements
c) Two sets A & B both having any 4 elements

Answers

Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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Each square on a grid represents 1 unit on each side. Match the numbers with the slopes of the lines.

Each square on a grid represents 1 unit on each side. Match the numbers with the slopes of the lines.

Answers

The slope of the given lines are:

Graph 1 = 1/3

Graph 2 = -1/3

Graph 3 = 3

Graph 4 = -3

How to Find the Slope of a Line?

To find the slope (m) of a given line on a coordinate plane, choose any two points on the line, (x1, y1) and (x2, y2), then find the slope by plugging in the values of the coordinates into the formula below:

Slope of a line (m) = change in y / change in x = \(\frac{y_2 - y_1}{x_2 - x_1}\).

Find the slope of Graph 1:

Using two points on the line, (0, 0) and (3, 1):

Slope of graph 1 (m) = (1 - 0)/(3 - 0)

Slope of graph 1 (m) = 1/3

Find the slope of Graph 2:

Using two points on the line, (0, 0) and (-3, 1):

Slope of graph 2 (m) = (1 - 0)/(-3 - 0) = 1/-3

Slope of graph 2 (m) = -1/3

Find the slope of Graph 3:

Using two points on the line, (0, 0) and (1, 3):

Slope of graph 3 (m) = (3 - 0)/(1 - 0) = 3/1

Slope of graph 3 (m) = 3

Find the slope of Graph 4:

Using two points on the line, (0, 0) and (-1, 3):

Slope of graph 4 (m) = (3 - 0)/(-1 - 0) = 3/-1

Slope of graph 4 (m) = -3

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John keeps chickens and rabbits in his fenced backyard. He counts a total of 32 heads and a total of 72 legs in his backyard. Write and solve a system of equations in order to find: How many chickens are in John's backyard? Chickens How many rabbits are in John's backyard? Rabbits

Answers

Answer:

System of Equations

c + r = 32 ..... Equation 1

2c + 4r = 72......... Equation 2

We have 28 chickens and 4 rabbits

Step-by-step explanation:

Let the number of chickens be represented by c

The number of rabbits be represented by r

From the question, John counts:a total of 32 heads

32 heads = a total of 32 animals

Hence:

c + r = 32....... Equation 1

c = 32 - r

Also, John counts:

A total of 72 legs in his backyard.

Chickens have: 2 legs

Rabbits have: 4 legs

Hence:

2c + 4r = 72......... Equation 2

System of Equations is:

c + r = 32 ..... Equation 1

2c + 4r = 72......... Equation 2

Lets us substitute 32 - r for c in Equation 2

2(32 - r) + 4r = 72

64 - 2r + 4r = 72

Collect like terms

- 2r + 4r = 72 - 64

2r = 8

r = 8/2

r = 4

This means we have 4 rabbits

Note:

c = 32 - r

r = 4

c = 32 - 4

c = 28

Hence, we have 28 chickens

Subtract the following polynomials, then place the answer in the proper location on the grid. Write the answer in
descending powers of x.

8.3x2 +0.9xy + 3.6
7.4x2 - 1.7xy + 6.4

Answers

Answer:

0.9x^2 + 0.8xy+2.8

Step-by-step explanation:

8.3x^2 - 7.4x^2 + 1.7xy - 0.9xy + 6.4 - 3.6

0.9x^2 + 0.8xy + 2.8

Answer:

1: 2

2: 3

Step-by-step explanation:

these are the correct answers on Edge

(I got it wrong on Edge)

PLZ mark brainliest

Calculate the rate of change for the following data

Calculate the rate of change for the following data

Answers

The rate of change for the data in this problem is given as follows:

-3.

How to obtain the average rate of change?

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function.

For this problem, we have that when x increases by 3, y decays by -9, hence the rate of change for the data in this problem is given as follows:

-9/3 = -3.

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Solve the inequality and enter your solution as an inequality

3x < 12

Answers

Answer:

x < 4

Step-by-step explanation:

\(3x < 12\\\rule{150}{0.5}\\3x < 12\\\\\frac{3x<12}{3}\\\\\boxed{x < 4}\)

Hope this helps.

Your answer is would be: x<4

also how do I do this one? I really don’t know

also how do I do this one? I really dont know

Answers

Answer:

Step-by-step explanation:

\(s=\frac{t-1}{3}\\t=0\\s=\frac{-1}{3}\\4=\frac{t-1}{3}\\12=t-1\\t=12+1=13\\s=52\\52=\frac{t-1}{3}\\156=t-1\\t=156+1=157\\\)

 t         s

  0     -1/3

 13       4

157       52

Using the information in the map, what is the distance between Camden and Lowell? Explain your reasoning using correct Geometry justification. For the ease of symbols used in your justification, let Morsetown be point o, Meridian be point M, Grenata be point G, Camden be
point C, and Lowell be point L.

The map below shows five different towns. The town of Meridian wasgiven its name because it lies exactly halfway between two pairs of cities:
Camden and Grenata, and Lowell and Morsetown.

Using the information in the map, what is the distance between Camden and Lowell? Explain your reasoning

Answers

Answer:

5 miles

Step-by-step explanation:

We are looking at triangles LCM and OGM.

Point M is the midpoint of segments LO and CG.

That makes segments CM and GM congruent (side).

Then angles CML and GMO are congruent since they are vertical angles (angle).

Finally, segments LM and OM are also congruent because of the midpoint (side).

By SAS, triangles LCM and OGM are congruent.

Then by CPCTC, segments LC and OG are congruent.

Since OG = 5 miles, then LC = 5 miles.

Answer: 5 miles

The half-life of a radioactive substance is the time it takes for half of the substance to decay. The half-life of one form of rhodium, Rh-106, is about 30 seconds. If you start with 100 grams of Rh-106, how much will be left after 4 minutes?

Answers

Answer:

0.390625 grams

Step-by-step explanation:

can i get a second opinion on this

If x and y vary directly and y is 44 when x is 11, find y when x is 9.

Answers

The value of y when x is 9 and the constant of proportionality(k) is 4 is 36.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, x and y vary directly and y is 44 when x is 11.

Let, y ∝ x.

y = kx.

44 = 11k.

k = 44/11.

k = 4.

Now x = 9.

y = 4×9.

y = 36.

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Mrs. Shen is trying to write a multiplication problem for her fourth grade math class. She wants her students to expand two 2-digit numbers being multiplied together she wants the answer to be : (20 x 50) + (20 x 6) + (2 x 50) + ( 2 x 6) What should the original multiplication problem be?

Answers

Therefore, the original multiplication problem that Mrs. Shen should write for her fourth grade math class is: 22 x 56 = 1232

To solve this problem, we need to understand the distributive property of multiplication. The distributive property states that when we multiply a number by a sum, we can distribute the multiplication to each term in the sum.
In this case, Mrs. Shen wants her students to expand two 2-digit numbers being multiplied together, and the expanded form of the product is given as:
(20 x 50) + (20 x 6) + (2 x 50) + (2 x 6)
We can simplify this expression by multiplying the factors:
1000 + 120 + 100 + 12
= 1232
Therefore, the product of the two 2-digit numbers being multiplied together should be 1232.

To find the original multiplication problem, we can use the distributive property to write 1232 as the product of two 2-digit numbers:
1232 = (20 + 2) x (50 + 6)
= 22 x 56

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Sadie bought some shares in December 2010 In 2011 the value of the shares decreased by 10% In 2012 the value of the shares increased by 20% By what percentage did the value of the shares increase in the two years from the end of 2010 to the end of 2012?

Answers

Answer:

The shares increased by 8%

Step-by-step explanation:

Here, we want to calculate the percentage increase in the value of the shares

Let the original value of the shares bought be $x

It decreased by 10%

Mathematically,

that will be x - (10% of x)

= x -0.1x = 0.9x

This is the new value

It increased at this point by 20%

The new value will be;;

0.9x + (20% of 0.9x)

0.9x + 0.18x

= 1.08x

The percentage increase in the shares will be;

(1.08x - x)/x * 100%

= 0.08x/x * 100% = 8%

Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop. How much she make in a workweek if she sold $4,800 worth of merchandise?

Answers

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

How to calculate the value?

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

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Find the area of the shaded region

Find the area of the shaded region

Answers

Answer:

40.5

Step-by-step explanation:

We need to find the area of both triangle and square. We then subtract the triangle from the square. Let's do it.

The area of the square is 9x9. This is 81 squared meters.

Triangle formula is 1/2 base x height. We know that base and height are both 9. 81/2 is 40.5.

We subtract now. 81-40.5=40.5

40.5 is the area of the shaded region.

Answer:

40.5 square meters

Step-by-step explanation:

to find area of shaded region:

area of square minus area of triangle

A(square) = 9² or 81

A(triangle) = 1/2(9)(9) = 40.5

81 - 40.5 = 40.5

160 feet of lumber at $2.49 per foot

Answers

Answer:

$398.40 for 160 feet of lumber based on $2.49 per foot.

Step-by-step explanation:

Simply multiply 160 by 2.49 and get $398.40.

Which of these relations is a function?

Which of these relations is a function?

Answers

The 2nd relation is a function out of the given graph function.

What is graph function?

The set of ordered pairs (x, y) where f(x)=y makes up a function's graph in mathematics. These pairs, which are Cartesian coordinates of points in two-dimensional space and thus constitute a subset of this plane in the typical case where x and f(x) are real numbers, are examples of real numbers.

Instead of the pairs ((x,y),z) as in the definition above, the graph in the context of functions of two variables, i.e. functions whose domain consists of pairs (x,y), typically refers to the set of ordered triples (x,y,z) where f(x,y)=z. For a continuous real-valued function of two real variables, this set is a surface. It is a subset of three-dimensional space.

Graphs are useful tools for a variety of tasks in science, engineering, technology, finance, and other fields.

A Set of points in a plane is the graph of a function if & only if no vertical line intersects the graph in more than one point

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Please help quickly I will mark brainliest!! At least the equation of the graph please

Please help quickly I will mark brainliest!! At least the equation of the graph please

Answers

Answer:

a. The domain of the function is -3 < x ≤ 5

b. The range of the function is -3 ≤ y < 3

c. The y-intercept is the point (0, 0)

d. The values of 'x' at which f(x) ≥ 0 are;

x = -3, x = 1, x = 5

e. The intervals over which f(x) is decreasing are;

-3 < x ≤ - 1, and 1 ≤ x ≤ 3,

f. The local minimums are;

(-1, -1), and (3, -3)

Step-by-step explanation:

a. The domain of a function is the set of the possible independent variable values

Therefore, the domain of the function is -3 < x ≤ 5

b. The range of a function is the set of the possible values of the dependent variable

Therefore, the range of the function is -3 ≤ y < 3

c. The y-intercept is the point (0, 0)

d. The values of 'x' for which f(x) ≥ 0 are;

x = -3, x = 1, x = 5

The range of values of 'x' where f(x) ≥ 0 are;

-3 < x ≤ - 1.5, 0 ≤ x ≤ 1.5, 4.5 ≤ x ≤ 5

e. f(x) is decreasing over the following intervals;

-3 < x ≤ - 1, and 1 ≤ x ≤ 3,

f. The local minimums are the points that are lowest compared to other nearby points

The local minimums are;

(-1, -1), and (3, -3).

Using the properties of real numbers ,prove that a<b and c<d= a+c<b+d​

Answers

9514 1404 393

Explanation:

  a < b . . . . . given

  0 < b -a . . . . . addition property of inequality

  c < d . . . . . given

  0 < d - c . . . . . addition property of inequality

  0 < (b -a) +(d -c) . . . . addition is closed for positive real numbers

  a +c < b +d . . . . . addition property of inequality

Answer:

hello hope this pic helps

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The basic expressions of faith expected of Muslims are called the.. If you spin the spinner below twice, what is P(vowel, then P)? A. one-third B. one-ninth C. start fraction 5 over 6 end fraction D. Start fraction 5 over 12 End fraction Determine the exact value of [tex] \csc(0) [/tex]when [tex] \cot(0) = 3 \div 4[/tex]and [tex] \cos(0) \ \textgreater \ 0[/tex] Which was the most widespread economic consequence of the Great Depression? why does Dr. Tyson believe Pluto is Americas favorite planet, based on "Astrophysicist Chronicles Battle over Pluto"? According to the assigned reading, in the united states, the amount of caffeine contained in an energy beverage must be stated on the label. a. true b. false Determine the a) concavity and the b) value of its vertex a. y=x^2 +X-6 C. y = 4x + 4x 15 b. y = x2 - 2x - 8 d. y = 1 - 4x - 3x?" A lakefront house in Kingston, Ontario, is for sale with an asking price of $360,000. The real estate market has been quite active, so the house will almost certainly attract several offers, and may sell for more than the asking price. Charlie is very eager to purchase this house, but is concerned that he may not be able to afford it. He has $118,000 available for a down payment, and can pay up to $2,000 per month on a mortgage loan. As Charlie is a long-time customer, his bank has offered him a great mortgage rate of 3.10 percent on a one-year term. If the loan will be amortized over 15 years, what is the most that Charlie can afford to pay for the house? (Round effective monthly rate to 4 decimal places, e.g. 5.1235\% and final answer to 2 decimal places, e.g. 125.12. Do not round your intermediate calculations.) Find an ordered pair that is solution for the liner equation2x 3y = 12 Show all work. What is the best definition of hyperbole?O A. An exaggerationO B. A comparison that uses like or asO C. A comparison that does not use like or asD. A phrase with a meaning other than its literal one Can anyone help me with this? Write 2 yes or no questions people might ask a person with autism or a person with a physical disability to check in on them and see how they are feeling. When should you use a colon to introduce a quotation?a. when the quotation forms a complete sentence on its ownb. when the quotation needs the introduction to form a complete sentencec. when the introduction forms a complete sentence on its ownd. when the quotation includes more than one subordinate clause I need help- How did modern east nations come to power? -2= 5x+ 3? what is the answer help Name a few areas related to the clay to day to day lives of ordering people on which laws should be made the letters d, g, i, i, and t can be used to form 5-letter strings such as digit or dgiit. using these letters, how many 5-letter strings can be formed in which the two occurrences of the letter i are separated by at least one other letter? Jax Inc is considering the purchase of a new machine for the production of computers. Machine A costs $4,000,000 and will last for seven years. Variable costs are 20% of sales, and fixed costs are $500,000 annually. Machine B costs $6,000,000 and will last for ten years. Variable costs for the machine are 10% of sales, and fixed costs are $750,000 annually. The sales for each machine will be $4,000,000 per year. The required rate of return is 9%, the tax rate is 21%, and both machines will be depreciated using straight-line depreciation with no salvage value.Q 5 Calculate the net present value for Machine B. (Round to 2 decimals)Q6 Calculate the equivalent annual annuity for Machine A. (Round to 2 decimals)Q7 Calculate the equivalent annual annuity for Machine B. (Round to 2 decimals) Look at the simultaneous equations below.x - 6y = 103y^2 = 4x+7a) show that 3y^2 -24y - 47 = 0b) use part a) to solve the simultaneous equations. If any of your answers are decimals, give them to 1 d.p.Its asking for two possibilities of x and y - someone please help! To test this series for convergence 2" +5 5" n=1 You could use the Limit Comparison Test, comparing it to the series ph where re n=1 Completing the test, it shows the series: Diverges Converges