name the x- and y- intercepts for equation 2x- y=6

The inequality to represent the number of matinee tickets, x, and evening tickets, y, Aiden can buy is,

⇒ 5x + 10y ≤ 50

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

Aidan is going to buy movie tickets for his friends. matinee tickets are $5 each and evening tickets are $10 each. Aidan can spend at most $50 dollars.

Now, Let the number of matinee tickets Aiden can buy = x

And, The number of evening tickets Aiden can buy = y

So, We can formulate;

The correct inequality is,

⇒ 5x + 10y ≤ 50

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Answer:

C)  (-1, -4) and (4, 6)

Step-by-step explanation:

\(\textsf{Equation 1}:y=2x-2\)

\(\textsf{Equation 2}:y=x^2-x-6\)

Substitute Equation 1 into Equation 2 and solve for x:

\(\implies 2x-2=x^2-x-6\)

\(\implies x^2-3x-4=0\)

Find two numbers that multiply to -4 and sum to -3:  -4 and 1

Rewrite the middle term as the sum of these two numbers:

\(\implies x^2-4x+x-4=0\)

Factorize the first two terms and the last two terms separately:

\(\implies x(x-4)+1(x-4)=0\)

Factor out the common term \((x-4)\):

\(\implies (x+1)(x-4)=0\)

\(\implies (x+1)=0 \implies x=-1\)

\(\implies (x-4)=0 \implies x=4\)

Substitute the found values of x into Equation 1 and solve for y:

\(x=-1 \implies y=2(-1)-2=-4\)

\(x=4 \implies y=2(4)-2=6\)

Therefore, the solution to the system of equations is:

(-1, -4) and (4, 6)

Answer:

-5(2x-6)+25x

-10x+30+25x

25x-10x+30

15x+30

15(x+2)

Step-by-step explanation:

The factored form of the given expression is 15(x + 2).

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is as below,

−5(2x − 6) + 25x

It can be simplified as follows,

−5(2x − 6) + 25x

= -10x + 30 + 25x

= 15x + 30

= 15(x + 2)

Hence, the given expression can be simplified in factored form as 15(x + 2).

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Answer:

  a) 489.77 ft from friend

  b) 470.80 ft from cliff

Step-by-step explanation:

Given a man on a 135 ft cliff sees his friend at an angle of depression of 16°, you want to know the distance of the man from his friend, and the distance of the friend from the cliff.

The relevant trig relations are ...

  Sin = Opposite/Hypotenuse

  Tan = Opposite/Adjacent

The 135 ft height of the cliff is modeled as the side of a right triangle that is opposite the angle of elevation from the friend to the top of the cliff. (See attachment 2.) That angle is the same as the angle of depression from the top of the cliff to the friend.

The hypotenuse of the triangle is the distance between the man and his friend. The side of the triangle adjacent to the friend is the distance to the cliff.

Using the above relations, we have ...

  sin(16°) = (cliff height)/(distance to friend)

  tan(16°) = (cliff height)/(distance to cliff)

Solving for the variables of interest gives ...

  distance to friend = (cliff height)/sin(16°) = (135 ft)/sin(16°) ≈ 489.77 ft

  distance to cliff = (cliff height)/tan(16°) = (135 ft)/tan(16°) ≈ 470.80 ft

The ma is 489.77 ft from his friend; the friend is 470.80 ft from the cliff.

__

Additional comment

The distances are given to more decimal places than necessary so you can round the answer as may be required.

<95141404393>

Answer:

749, 715, 710

Step-by-step explaination:

The first five terms of the sequence are -2, -10, -24, -44, and -70.

It seems there is a typo in the formula for the nth term of the sequence. However, to interpret it as an = n - 3n(n). To find the first five terms, we will plug in the values n = 1, 2, 3, 4, and 5:

1. For n = 1, a1 = 1 - 3(1)(1) = 1 - 3 = -2
2. For n = 2, a2 = 2 - 3(2)(2) = 2 - 12 = -10
3. For n = 3, a3 = 3 - 3(3)(3) = 3 - 27 = -24
4. For n = 4, a4 = 4 - 3(4)(4) = 4 - 48 = -44
5. For n = 5, a5 = 5 - 3(5)(5) = 5 - 75 = -70

The first five terms are -2, -10, -24, -44, and -70.

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The clock minutes rotate 270 degrees in 45 minutes.

While rotating, the clock's hands are seen to move at a speed of six degrees per minute.

The number of degrees for a clock minute is solved by

60 minutes  = 360 degrees

1 minute = ?

cross multiplying

60 * ? = 360

? = 360 / 60

? = 6

hence 1 minute is 6 degrees

The formula to use to get the calculation is multiplying the number of minutes by 6

Number of degrees in 45 minutes = 45 * 6

Number of degrees in 45 minutes = 270 degrees

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The relationship between reaction time and problem-solving ability would be a directional research hypothesis.

A directional research hypothesis (c) predicts the specific direction of the relationship between variables. In this case, the hypothesis would state that there is a relationship between reaction time and problem-solving ability, and it would specify the direction of that relationship (e.g., reaction time is positively correlated with problem-solving ability, indicating that faster reaction times are associated with better problem-solving).

A nondirectional research hypothesis (a) would simply predict that a relationship exists between the variables without specifying the direction. However, in this scenario, we are interested in exploring whether faster or slower reaction times are related to problem-solving ability, so a nondirectional hypothesis would not be appropriate.

A hypothesis type that cannot be determined (b) suggests that there is not enough information to determine the hypothesis type. However, based on the given scenario, we can infer that a directional research hypothesis is most suitable.

The null hypothesis (d) is a hypothesis that states there is no relationship between the variables being studied. In this case, the null hypothesis would state that there is no relationship between reaction time and problem-solving ability. However, since the question asks about a possible relationship, the null hypothesis would not be the correct choice.

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By using Pythagorean theorem, the shortest distance between planet Q and planet R is 1.25 × 10⁷ kilometers (12.5 million kilometers).

The picture shows the geometry between three planets, which represents the three vertices of a right triangle, the straight line distance between the points Q and R represents the hypotenuse of the right triangle. The hypotenuse can be found by using the Pythagorean theorem:

QR = √(PQ² + PR²)

Where QR is the hypotenuse of the right triangle, in kilometers.

If we know that PQ = 3.5 × 10⁶ km and PR = 1.2 × 10⁷ km, then the distance between planet Q and planet R is:

QR = √[(3.5 × 10⁶ km)² + (1.2 × 10⁷ km)²]

QR = 1.25 × 10⁷ km

The shortest distance between planet Q and planet R is 1.25 × 10⁷ kilometers (12.5 million kilometers).

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Answer: C. 25.6

Step-by-step explanation:

The amount I can predict a catfish with a length of 32 inches would weigh is 28in.

Let say the fraction is = yx + b

m = \(\frac{20-4}{23-20}\)

= 6/3

=2

Note also that 4= 2 x 20 x b

Make b the subject of the formula and it will be=

B= -36

Therefore, the function will be:

Y= 2x - 36

If x = 32

Then  y = 2. 32 - 36

=28

Therefore, the amount I can predict a catfish with a length of 32 inches would weigh is 28in.

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Answer:

both a and b

Step-by-step explanation:

It is because in the elimination method it does not matter whether you eliminate x or y so if you use option a which multiplies -2 by 1st equation so it will become:

-4x+6y=40

4x+6y=8

so the -4x and 4x cancels and a is a valid option.

If you use the b which multiplies the second with 3 it becomes:

2x-3y=-10

4x+3y=24

so -3y and 3y cancel which also makes this a valid option.

Answer: both a and b

a. Yes, it is possible to apply supertype/subtype hierarchy to the above situation.  The EER diagram is shown below. The specialization rule it satisfies is partial completeness constraint. c. A possible scenario in which the diagram satisfies the other specialization rule. d. To incorporate the fact that the owner wants to sell both new and old products.

This is because all of the electronic goods are related to each other in some way. These items can be grouped together as electronic devices, and each type of device can have its own set of attributes.

b. The EER diagram is shown below. The specialization rule it satisfies is partial completeness constraint.

c. A possible scenario in which the diagram satisfies the other specialization rule (disjointness constraint) is if the store decides to only sell one type of device (for example, only mobile phones).

d. To incorporate the fact that the owner wants to sell both new and old products, we can add a "condition" attribute to the device entity. This attribute can have two possible values: "new" or "old". We can also add a "date of manufacture" attribute to the device entity to keep track of when the product was made.

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Answer: 62.25!

I could be wrong tho

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since Greg has calculated that his least or minimum speed should.be 50 miles per hour ;

Then the line starts at 50 with the starting point shaded due to the atleast notation.

Then atleast means that, Gregg may need to travel at a higher speed than 50, so the direction of the arrow moves to the right of the number line depicting a possible increase in Gregg's speed.

Therefore, the number line which best conveys Gregg's situation is B.

The bicycle manufacturer is studying the reliability of its models and analyzing the probability of defects. They found the probability of a brake defect is 4 percent and the probability of both brake and chain defects is 1 percent.

Given that the probability of a defect with brakes or chain is 6 percent, we can find the probability of a chain defect using the formula: P(A and B) = P(A|B) * P(B), where P(A and B) is the probability of both events A and B occurring, P(A|B) is the probability of event A occurring given that event B has occurred, and P(B) is the probability of event B occurring.

In this case, we want to find the probability of a chain defect given that there is a defect with either the brakes or the chain. Let's use the events: A = brake defect, B = chain defect, From the problem statement, we know that: P(A) = 0.04 (probability of a brake defect), P(A and B) = 0.01 (probability of both a brake defect and a chain defect)
P(A or B) = 0.06 (probability of a defect with the brakes or the chain).

To find P(B|A or B), we can use the formula: P(B|A or B) = P(A and B) / P(A or B) = 0.01 / 0.06, = 1/6, = 0.1667, So the probability of a chain defect given that there is a defect with either the brakes or the chain is 16.67%, or approximately 2/12 or 1/6.

Therefore, the correct answer is option 2: 2%, Solving for the probability of a chain defect, we get: P(chain defect) = 0.06 - 0.04 + 0.01 = 0.03, So, the probability of a chain defect is 3 percent.

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Answer:

yup it passes the line test

Step-by-step explanation:

DM is congruent to line CM because CDM is congruent to triangle CBM using the SAS congruence criteria for triangles.

Draw a diagram of the rectangle ABCD with M as the midpoint of AB. Draw lines CM and DM ( refer to the attached image). Since AB is a line segment, we know that AM is congruent to MB (because M is the midpoint of AB). Since ABCD is a rectangle, we know that AB is parallel to CD, and AD is parallel to BC. Thus, we have two pairs of parallel lines: AB and CD, and AD and BC.

Using the fact that opposite sides of a rectangle are congruent, we have CD = AB. Now, we have a pair of congruent sides (DM and CM) that are opposite each other in triangle CDM and CBM respectively. We also have another pair of congruent sides (CD and AB) that are opposite each other in both triangles. Finally, we know that the angle CMD is congruent to the angle CMB because they are vertical angles. By the Side-Angle-Side (SAS) congruence criterion, we can conclude that triangle CDM is congruent to triangle CBM.

Therefore, line DM is congruent to line CM by SAS congruence criteria.

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The amount of money that I will have at the end of 20 years would be =$4,480. That is option D

Compound interest is defined as the interest that is being earned on an account which is based on the rate and the time the investment was made.

The total amount invested (p)= $2,000

The rate of investment (r) = 5%

The time of investment(t)= 12 year

The compound interest warm from that account;

= P×T×R/100.

= 2,000×12×5/100

= 120000/100

= $1200

For the next 8 years with the rate of 8% ;

= 2,000×8×8/100

= 128000/100

= $1280

The total compound interest = $1200+$1280= $2,480

Therefore, the amount of money that I will have at the end of 10 years would be = 2000+2480 = $4,480

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The probability that it takes at most 1 hour of machining time to produce a randomly selected component is approximately 0.00003 or 0.003%.

To solve this problem, we need to first calculate the total mean and standard deviation for the machining time of a single component.

The total mean machining time can be found by adding the means for each component:

30 + 20 + 15 = 65 minutes

The total standard deviation can be found using the formula:

\(\sqrt{((1^2 + 2^2 + 1.2^2)/3)} = 1.247 minutes\)

Now we need to find the probability that it takes at most 1 hour (60 minutes) to produce a randomly selected component. We can use the standard normal distribution to calculate this probability.

z-score = (60 - 65) / 1.247 = -4.01

Using a standard normal distribution table, we can find that the probability of a z-score being less than or equal to -4.01 is approximately 0.00003.

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Answer:

The median is 33.5

Step-by-step explanation:

In order to solve for a median it would either be the middle or it would be the average of the middle if there are even amount of numbers. First you would put them in order. 12 17 28 31 36 54 55 and 71. This would mean the the middle number would be 31 and 36. Since you can't have two medians you would find the average of the two so add 31 and 36 which would be equal to 67 then divide by 2 which would equal to 33.5.

The median of numbers 17, 12, 54, 36, 71, 28, 31, 55 is 33.5.

The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order.

To find the median of the given numbers, we first need to arrange them in ascending order:

12 17 28 31 36 54 55 71

Since there are an even number of numbers (8), the median will be the average of the two middle values, which are 31 and 36.

To find the average, we add the two numbers and divide by 2:

(31 + 36) / 2 = 67 / 2 = 33.5

Therefore, the median of the given numbers is 33.5.

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The estimated product is  6000

What is estimation?

To make calculations simpler and more realistic, estimation of a number refers to a plausible assumption of the actual value.

Estimation is the process of approximating a quantity with the necessary accuracy.

The result is quickly and roughly determined by rounding off the numbers used in the calculation.

To estimate the product, we first round off the multiplier and the multiplicand to the nearest tens, hundreds, or thousands and then multiply the rounded numbers.

598 ≈ 600

9≈ 10

600*10

= 6000

The estimated product is  6000

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greta fed lizzy 56 crickets

Answer:

She feeds Lizzy 56 crickets when she feeds Draco 77.

Step-by-step explanation:

Lets put it as an equality:

\(\frac{11}{8}\)  = \(\frac{77}{x}\)

We want to solve for x. We can do so by finding how much larger the second fraction is than the first. In this case, 77 is 7 times larger than 11 (77/11=7), so we know that x must also be 7 times larger than 8 (because the fractions are proportional).

Since x is 7 times larger than 8, we can use 7 times 8 to find the value.

7 times 8 is 56

56 crickets for Lizzy!

Hope this helps and makes sense!

In regards to regulation, when industry leaders recruit promising bureaucrats who have already developed an expertise in regulatory details and, in turn, regulatory agencies recruit industry personnel, this is known as "regulatory capture."

In the given scenario, industry leaders recruit promising bureaucrats who have already developed expertise in regulatory details. This means that these bureaucrats have a deep understanding of the regulations and how they impact the industry. By hiring such individuals, industry leaders can gain insider knowledge and potentially shape regulations in their favor.

On the other side, regulatory agencies themselves may also recruit personnel from the industry they oversee. This practice is often aimed at acquiring specialized knowledge and expertise. However, it can lead to potential conflicts of interest and regulatory capture.

These interactions illustrate how regulatory capture can occur when industry leaders recruit bureaucrats with regulatory expertise, and regulatory agencies hire personnel from the industry. The result is a blurring of the lines between regulators and the regulated industry, potentially compromising the objectivity and effectiveness of regulatory processes.

To mitigate this issue, measures such as robust conflict-of-interest policies, strict regulations on the revolving door between industry and regulatory agencies, and public transparency and accountability mechanisms are crucial in maintaining the integrity of regulatory processes and ensuring the protection of public interest.

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Answer:

9a + 4b

Step-by-step explanation:

Start by multiplying the two values inside the parentheses (5a + 2b) by 2 to get 10a + 4b - a. Then, subtract the single a from the end to get 9a + 4b.

The variables a and b cannot be combined, so both variables must still be present in the final answer. Order of operations is also very important, because if you subtracted the a before multiplying, then you would get 8a, which isn't correct.

Answer: imaginary axis

Step-by-step explanation:

Then the probability of a sample being chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 will be 0.1632.

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The proportions of multiple samples of registered voters who vote are normally distributed, with a mean proportion of 0.38 and a standard deviation of 0.0485.

The z-score is given as

\(z = \dfrac{x - \mu}{\sigma}\)

Then the probability of a sample is chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 will be

For x = 0.37, then we have

\(z = \dfrac{0.37 - 0.38}{0.0485} \approx -0.206\)

For x = 0.39, then we have

\(z = \dfrac{0.39- 0.38}{0.0485} \approx 0.206\)

Then the probability will be

\(\rm P(0.37 < x < 0.39) = P(-0.206 < z < 0.206)\\\\ P(0.37 < x < 0.39) =0.58160 - 0.41839 \\\\P(0.37 < x < 0.39) =0.1632\)

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Answer:

B. 17%

Step-by-step explanation:

Got it from a quizlet with very many five star reviews

To get a probability of 3/5, 16 red marbles must be added.

There are 8 red, 9 yellow, and 7 green marbles, for a total of:

8 + 9 + 7 = 24.

The probability of getting a particular color of marble is given by the quotient between the number of marbles of that color and the total number of marbles.

Here, we want to get a probability of drawing a red marble equal to 3/5.

So, if we add x red marbles, the probability of getting a red marble will be:

P = (8 + x)/(24 + x)

And that must be equal ot 1/5, then we write:

(3/5) = (8 + x)/(24 + x)

If we multiply both sides bt (24 + x), we will get:

3*(24 + x)/5 = 8 + x

Now we can solve that for x.

3*24/5 - 8 = x - x(3/5) = (2/5)*x

x = (3*24/5)*(5/2) - (5/2)*8 = 16

So 16 red marbles must be added, the correct option is b.

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Inequality are expressions that are not separated by an equal sign. The solution to the given system of equation is x > 4

Inequality are expressions that are not separated by an equal sign.

Given the inequality

8x+2 > 34

Subtract 2 from both sides

8x + 2 - 2 > 34 - 2

8x > 32

Divide both sides by 8

8x/8 = 32/8
x > 4

Hence the solution to the given system of equation is x > 4

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