Describe the region in the Cartesian plane that satisfies the inequality 2x - 3y > 12

Answers

Answer 1

This region can be visualized as the portion of the plane where the y-values are smaller than what is obtained by substituting x into the equation 2x - 3y = 12.

To understand the region that satisfies the inequality 2x - 3y > 12, we can examine the corresponding equation 2x - 3y = 12. This equation represents a straight line on the Cartesian plane. By solving this equation for y, we find that y = (2x - 12) / 3.

Now, let's analyze the inequality 2x - 3y > 12. We can rewrite it as 2x - 12 > 3y or (2x - 12) / 3 > y. This inequality indicates that the y-values should be smaller than the expression (2x - 12) / 3.

To visualize the region that satisfies the inequality, we can plot the line 2x - 3y = 12 and shade the portion of the plane above this line. In other words, any point (x, y) above the line represents a solution that satisfies the inequality 2x - 3y > 12. Conversely, any point below the line does not satisfy the inequality.

This region can be described as a half-plane above the line 2x - 3y = 12, extending infinitely in both directions. It is important to note that the line itself is not included in the solution since the inequality is strict (>).

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Related Questions

look at the image and answer it

look at the image and answer it

Answers

Answer:

The circumference of circle is 14π cm.

Step-by-step explanation:

Given that the formula of circumference is C = 2×π×r where r represents radius of circle. In this case, diameter of circle is 14cm so the radius will be 7cm. Then, you have to substitute the value into the formula :

\(c = 2 \times \pi \times r\)

\(let \: r = 7\)

\(c = 2 \times \pi \times 7\)

\(c = 14\pi \: \: cm\)

Answer:

14\(\pi\)

units = cm

Step-by-step explanation:

circumference = 2 x \(\pi\) x r

c = 2 x \(\pi\) x 7   - it's 7 because the diameter is 14 and radius is half the diameter

c = 14 x \(\pi\)

c = 43.98229715

in terms of pi c = 14 \(\pi\)

units = cm

Which linear inequality is represented by the graph?

Which linear inequality is represented by the graph?

Answers

Answer:

D

Step-by-step explanation:

Hope this helps. Pls give brainliest.

You are considering purchasing a consol that promises annual payments of $4. a. If the current interest rate is 3 percent, what is the price of the consol? Instructions: Round your answer to the nearest penny (2 decimal places). The price of the consol is $ b. You are concerned that the interest rate may rise to 4 percent. Compute the percentage change in the price of the consol and the percentage change in the interest rate. Compare them. Instructions: Round your answer for dollar amounts to the nearest penny (2 decimal places ) and answers for percentages to the nearest tenth (1 decimal place) The new price of the consol would be $ The price of the consol falls by 7% and the interest rises by 7% c. Your investment horizon is one year. You purchase the consol when the interest rate is 5 percent and sell it a year later, following a rise in the interest rate to 6 percent. What is your holding period return? Instructions: Round your answer to the nearest tenth (1 decimal place) Your holding period return is %

Answers

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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11. a film festival has 10 interns available during the summer. how many different ways can
the festival director hire seven of the ten interns?

Answers

The number of different ways the festival director can hire seven of the ten interns can be calculated using combinations.  To find the number of combinations, we can use the formula for combinations: nCr = n! / (r!(n-r)!)

Where n represents the total number of interns (10 in this case) and r represents the number of interns the festival director wants to hire (7 in this case). Let's calculate the number of combinations: 10C7 = 10! / (7!(10-7)!) First, we calculate the factorial of 10: 10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 Next, we calculate the factorial of 7: 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 Finally, we calculate the factorial of (10-7): (10-7)! = 3 x 2 x 1

Now, let's substitute these values into the formula:
10C7 = 10! / (7!(10-7)!)
= (10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) / (7 x 6 x 5 x 4 x 3 x 2 x 1 x 3 x 2 x 1)
= (10 x 9 x 8) / (3 x 2 x 1)
= 720 / 6
= 120
Therefore, there are 120 different ways the festival director can hire seven of the ten interns.

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\(\frac{3}{(x + 4 )} + \frac{4}{(x - 2) (x + 4)}\)

Answers

The answer is 3x-2/x^2+2x-8

Find the supplement of 29°​

Answers

Answer:

151°

Step-by-step explanation:

Supplementary angles equal 180°, so all you have to do here is subtract 29 from 180 to get 151° as the supplement.

Which one of the following best defines the notion of the significance level of a hypothesis test?
a. The probability of rejecting H_o, whether it's true or not
b. The probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true
c. The probability of the type I error
d. The probability of the type II error

Answers

C. The probability of the type I error best defines the notion of the significance position of a thesis test.

The significance position, denoted by alpha( α), is the probability of rejecting the null thesis(H_o) when it's actually true. This is also known as a type I error, which occurs when we inaptly reject a true null thesis.

Option a isn't correct because the probability of rejecting H_o, whether it's true or not, isn't fixed and depends on the sample and the chosen significance position.

Option b isn't correct because it describes the p- value, which is a affiliated conception but not the significance position. The p- value is the probability of observing a sample statistic as extreme or more extreme than the one actually attained, assuming the null thesis is true.

Option d is also not correct because it describes the probability of a type II error, which occurs when we fail to reject a false null thesis. The probability of a type II error is denoted by beta( β) and is told by factors similar as sample size and effect size.

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Highest Common Factor of 27 and 36.

Answers

Answer:

9

Step-by-step explanation:

listing the factors

27 : 1, 3, 9, 27

36 : 1, 2, 3, 4, 9, 12, 18, 36

the common factors are 1, 3, 9

the highest common factor is 9

Hi :)

The highest common factor is also known as the HCF

———————

Let's find the HCF of \(\boldsymbol{27}\) and \(\boldsymbol{36}\).

\(\boldsymbol{Factors\:of\:27: 1, 3, 9, 27}\)

\(\boldsymbol{Factors\:of\:36:1,2,3,4,6,9,12,18,36}\)

HCF : \(\boldsymbol{9}\)

\(\tt{Learn\:More;Work\;Harder}\)

:)

Solve for z.

6.6 = 3(z − 16.9) − –0.6

z =

Answers

Answer:

z = 18,9

Step-by-step explanation:

\(6.6 = 3(z - 16.9) - - 0.6\)

\(6.6 = 3z - 50.7 - ( - 0.6)\)

\(6.6 = 3z - 50.7 + 0.6\)

\(6.6 = 3z - 50.1\)

\(6.6 - 3z = - 50.1\)

\( - 3z = - 50.1 - 6.6\)

\( - 3z = - 56.7\)

\(z = 18.9\)

Plans for a new park call for gardens directly across the sidewalk from each other to be congruent. This computer printout shows a rose garden.


If the vertices of a tulip garden are located at (x1,−y1), (x2,−y2), (x3,−y3), and (x4,−y4), will the tulip garden be congruent to the rose garden?

Answers

The lengths of all four sides of the tulip garden are equal to the lengths of the corresponding sides of the rose garden, then the two gardens will be congruent.

In order to determine if the tulip garden will be congruent to the rose garden, we must first calculate the lengths of the corresponding sides of each garden. The rose garden's vertices are labeled (x1, y1), (x2, y2), (x3, y3), and (x4, y4). The tulip garden's vertices are labeled (x1, −y1), (x2, −y2), (x3, −y3), and (x4, −y4). The length of the first side of the rose garden can be found using the distance formula, \(d = √((x2−x1)^2 + (y2−y1)^2)\). The corresponding length of the tulip garden can be found using the same distance formula, d = √((x2−x1)^2 + (y2−y1)^2) We can continue this process for the other  three side of both gardens. If the lengths of all four sides of the tulip garden are equal to the lengths of the corresponding sides of the rose garden, then the two gardens will be congruent.

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Now change matrix B to a 3 x 3 matrix and enter these values for B:

B =
1.2 1.4 3.1
2.2 1.1 5.6
3.7 4.2 6.7
Then select A • B to calculate the product:

77 39 −33

1.2 1.4 3.1
2.2 1.1 5.6
3.7 4.2 6.7
=
c11 c12 c13
c11 =
c12 =

c13 =

Answers

Answer:

Step-by-step explanation:

56.1,12.1,23.6

Anybody want to help with math? Pls hurry, I’ll give brainiest and everything.
Find the missing number in the ratio table below.
11 22 33 44

9 18 27 ?


A: 38


B: 36


C: 35


D: 37

Answers

Answer:

B

Step-by-step explanation:

You are going to add 9 to 27 because you are counting by nines on the bottom.

The odds against an event are 5 to 13. Find the probability that the event will occur.

Answers

It is given that the odd against an event are 5 to 13.

The probability that the event will occur is

\(P=\frac{13}{13+5}=\frac{13}{18}\)

-6x – 2x = 16



The Answer is - 2

Answers

Answer:

yes the answer is x = -2

Step-by-step explanation:

Is rotating a congruence transformation?

Answers

Yes , rotating is  a congruence transformation.

What is a congruence transformation?

A transformation that changes the position of the figure while not dynamical its size or form is termed a congruity transformation.

Main body:

A congruity transformation is that the movement or locating of a form specified it produces a form that is congruent to the initial.

Translations, reflections, and rotations are the three types of congruence transformations. That is, the pre-image and the image are always congruent.

Hence ,rotating is  a congruence transformation.

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Is rotating a congruence transformation?

Expand and simplify (y+3)-(y-2)

Answers

(y + 3) - (y - 2)

= y + 3 - y + 2

= y - y + 3 + 2

= 5

Answer:

5

Step-by-step explanation:

Given

(y + 3) - (y - 2) ← distribute parenthesis

= y + 3 - y + 2 ← collect like terms

= 5

URGENT:
M is the Centriod of DEF

URGENT:M is the Centriod of DEF

Answers

Answer:

A

Step-by-step explanation:

2/3 the way so you would do 6 plus 3, because 3 is half of 6

When 12 is multiplied by a number, the result is 72. which equation fits this statement

Answers

The value of "x" is the unknown number that, when multiplied by 12, gives a result of 72. By solving the equation, we find that the unknown number is 6.

Let's call the unknown number "x". The statement "When 12 is multiplied by a number, the result is 72" can be represented mathematically as:

12 * x = 72

This equation states that when we multiply 12 by the unknown number "x", we obtain a product of 72. To find the value of "x", we need to solve this equation.

To solve for "x", we can divide both sides of the equation by 12:

(12 * x) / 12 = 72 / 12

Simplifying, we have:

x = 6

Therefore, the equation that fits the given statement is:

12 * x = 72

Where "x" is equal to 6.

In this equation, the value of "x" is the unknown number that, when multiplied by 12, gives a result of 72. By solving the equation, we find that the unknown number is 6.

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Which three equations are equivalent to 1 + 3|x − 2| = 16? x = -3 or x = 7 |x − 2| = 5 x + 2 = -5 or x + 2 = 5 |x + 2| = 5 x − 2 = -5 or x − 2 = 5 x = 3 or x = -7

Answers

x-2=-5 or x-2=5 and x-2=5 are the only 2 i know are right

Answer:

x-2=-5 or x-2=5

x-2=5

x=-3 or x=7

Step-by-step explanation:

bayesian regression with undirected network predictors with an application to brain connectome data.

Answers

Bayesian regression with undirected network predictors offers a powerful framework for analyzing brain connectome data and gaining a deeper understanding of the relationships between brain connectivity and various outcomes of interest.

Bayesian regression with undirected network predictors refers to a statistical modeling approach that combines Bayesian inference principles with regression analysis when the predictors are represented as an undirected network. This approach is particularly useful when dealing with data that has a network structure, such as brain connectome data.

In the context of brain connectome data, a connectome represents the structural or functional connectivity between different regions or nodes of the brain. Each node can be seen as a predictor variable, and the relationships between nodes are represented by edges in the network.

Bayesian regression allows for flexible modeling of the relationships between predictors and the response variable, taking into account uncertainty in the parameter estimates. By incorporating the network structure of the predictors, Bayesian regression with undirected network predictors can capture complex dependencies and interactions among brain regions, providing insights into the relationships between brain connectivity and the outcome of interest.

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A circle has a circumference of 6. It has an arc of length of 1. What is the central angle of the arc, in degrees?

A circle has a circumference of 6. It has an arc of length of 1. What is the central angle of the arc,

Answers

Answer:

firstly read the length of the arc then

center angle=l/r

=1/6

=6

Help plz I need it it’s hard

Help plz I need it its hard

Answers

Answer:

the awnser is 2

Step-by-step explanation:

A culture of bacteria has an initial population of 380 bacteria and doubles
every 5 hours. Using the formula P = Po 2a, where Pt is the population
after t hours, Po is the initial population, t is the time in hours and d is the
doubling time, what is the population of bacteria in the culture after 7 hours,
to the nearest whole number?

Answers

Rounding to the nearest whole number, the population of bacteria in the culture after 7 hours is approximately 1003.

How to calculate the population?

The population of bacteria in this case can be calculated using the formula P = Po × \(2^a\), where:

P is the final population after a certain amount of time tPo is the initial population at time t = 0a is the growth rate which is equal to t/d, where d is the doubling time.

The doubling time of the bacteria is 5 hours, which means that every 5 hours the population doubles. Therefore, the growth rate, a, can be calculated as:

a = t/d = 7/5 = 1.4

Using the formula calculate the population of bacteria after 7 hours:

P = 380 × \(2^{1.4}\) = 1002.83

Rounding to the nearest whole number, the population of bacteria in the culture after 7 hours is approximately 1003.

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HELP PLS I NEED HELP ASAP PLS HELPPPPP

HELP PLS I NEED HELP ASAP PLS HELPPPPP

Answers

Answer:

The number of students who spend 4 hrs or more for reading = 25/100 = 1/4

we know 100 is a factor of 300

so equivalent fraction of (25/100)

× 3 = 75/300 = 1/4

.°.The simplest answer = 1/4 = 75/300

Hope it helps

A survey item asked students to indicate their class rank in college: freshman, sophomore, junior, or senior. Which measure(s) of location would be appropriate for the data generated by that questionnaire item

Answers

For the data generated by the questionnaire item that asked students to indicate their class rank in college, the appropriate measure of location would be the mode.

The mode is the value that occurs most frequently in a dataset and represents the most common response. In this case, the mode would indicate the most common class rank among the students surveyed. It is important to note that the use of the mode as a measure of location is most appropriate when dealing with nominal or ordinal data, such as class rank, where there is no inherent numerical relationship between the categories.

Other measures of location, such as the mean or median, are more appropriate for interval or ratio data where there is a meaningful numerical relationship between the values.

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The sum of the measures of the angles of a triangle is 180 m

The sum of the measures of the angles of a triangle is 180 m

Answers

The sum of the measures of the angle of a triangle is 180 degrees.

Sum of angles in a triangle

The given triangle is a type of triangle and the type of triangle a scalene triangle.

For a scalene triangle, the measure of the three sides are unequal and the sum of the interior angle of a triangle is 180 degrees.

Hence the measure of the angles <A, <B and <C are all less than 90 degrees since they are all acute angles.

We can therefore conclude that:

m<A + m<B + m<C = 180 degrees

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___________ would probably be distributed using an intensive strategy. A. iPods B. High-def television sets C. Men's suits D. Popular magazines

Answers

High-def television sets would probably be distributed using an intensive strategy. Therefore, option B. is correct.

Intensive distribution refers to a strategy where a product is made widely available through as many outlets as possible. This strategy is typically employed for products that have high demand, are low-cost, and require extensive market coverage. In the case of high-definition television sets, they are popular consumer electronics with a significant market demand.

To determine whether intensive distribution is suitable for high-def television sets, we consider the characteristics of the product. High-definition television sets are relatively low-cost compared to other options in the market, and they are in demand by a broad range of consumers. These factors suggest that an intensive distribution strategy would be appropriate for this product.

Based on the analysis, high-def television sets would most likely be distributed using an intensive strategy. This approach would ensure broad availability and accessibility for consumers, leveraging the product's popularity and fulfilling market demand. By making these television sets widely accessible through multiple outlets, manufacturers can reach a larger customer base, maximize sales potential, and effectively compete in the consumer electronics market.

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Halp me this question

Halp me this question

Answers

Answer:

3 + 7 = 10

Step-by-step explanation:

I hope this answers your question. :)

Answer: 3+7=10

Step-by-step explanation:

maybe this is it but this question is really unclear

can someone tell me the answer ​

can someone tell me the answer

Answers

Answer:

um i really dont know but if i dont know the the answer to sum i put c but i recommend not doing that

Step-by-step explanation:

Answer:

The second option, 2 is a prime number, but not odd

Step-by-step explanation:

A prime number is a result of two other whole numbers multiplied by themselves. There is no whole number that you can multipy by itself to get 2 because 1 × 1 = 1 and 2 × 2 = 4. Therefore, it is a prime number. But, that does not mean it is an odd number because odd numbers are 1, 3, 5, 7, etc. and even numbers are 2, 4, 6, 8, etc.

What is the perimeter of parallelogram WXYZ?

√5 +√17 units
2√5+ 2√17 units
16 units
22 units

What is the perimeter of parallelogram WXYZ? 5 +17 units 25+ 217 units 16 units 22 units

Answers

Answer:

The perimeter of parallelogram WXYZ is 2√5 + 2√17 units or also known as about 12.72 units.

Step-by-step explanation:

In the diagram, we have a parallelogram. A parallelogram is a shape with two pairs of congruent sides. So, this means that we only need to find the measurement of two sides. From there, we are going to multiply those individual measurements by 2 because both has another side that is congruent  to them. Lastly, we will add up all of the measurements to find the perimeter.

We can find the lengths by using the distance formula.

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_2)^2}\)

Let's find the length of WX.

\(WX=\sqrt{(4-0)^2+(0-(-1))^2}\)

\(WX=\sqrt{((4)^2+(1)^2)}\)

\(WX=\sqrt{16+1}\)

\(WX=\sqrt{17}\)

Now, we multiply this number by 2 because ZY is congruent to this side.

√17 × 2 = 2√17

Now, let's find the length of WZ.

\(WZ=\sqrt{(0-(-1))^2+(-1-(-3))^2}\)

\(WZ=\sqrt{(1)^2+(2)^2}\)

\(WZ=\sqrt{1+4}\)

\(WZ=\sqrt{5}\)

Now, we multiply this number by 2 because XY is congruent to this side.

√5 × 2 = 2√5

Now, we add these numbers together to get the perimeter.

2√5 + 2√17 = 12.72

The required perimeter of parallelogram WXYZ is \(2\times \sqrt5 + 2\times \sqrt17 \ units\).

We have to determine, The perimeter of parallelogram WXYZ.

According to the question,

A parallelogram is a shape with two pairs of congruent sides. So, this means need to find the measurement of two sides.

From there, multiply those individual measurements by 2 because both has another side that is congruent  to them. Lastly, add up all of the measurements to find the perimeter.

To find the lengths by using the distance formula,

\(d = \sqrt{(x_2-x_1)^{2}+ (y_2-y_1)^{2}} \\\\WX = \sqrt{(4-0)^{2}+ (0-(-1))^{2}} \\\\WX = \sqrt{16+1} \\\\WX = \sqrt{17}\)

Then, multiply this number by 2 because ZY is congruent to this side.

\(\sqrt{17} \times 2= 2 \sqrt{17}\)

Now, let's find the length of WZ by using distance formula,

\(d = \sqrt{(x_2-x_1)^{2}+ (y_2-y_1)^{2}} \\\\WZ = \sqrt{((-1)-(-3))^{2}+ (0-(-1))^{2}} \\\\WX = \sqrt{4+1} \\\\WX = \sqrt{5}\)

Now, multiply this number by 2 because XY is congruent to this side.

\(=\sqrt{5} \times 2= 2\sqrt{5}\)

Therefore, adding these numbers together to get the perimeter of parallelogram WXYZ,

Perimeter of parallelogram WXYZ  \(=2\times \sqrt5 + 2\times \sqrt17 \ units\)

Hence, The required perimeter of parallelogram WXYZ is \(2\times \sqrt5 + 2\times \sqrt17 \ units\).

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