What is the equation of this line

discrete, you cannot have 1.5 televisions

generally the number of X is a discrete variable.

continous = can contain decimal value  (float values)

discrete = no decimal  (integers)

Answer:

The equation 4 + y = 2x is a linear equation.

Step-by-step explanation:

The equation 4 + y = 2x is a linear equation. Linear equations have a constant rate of change and can be represented by a straight line when plotted on a graph. In this equation, y is a linear function of x, as it changes at a constant rate (y increases by 2 units for every unit increase in x).

A linear equation is characterized by having only one variable raised to the first power and no higher powers. In this equation, both y and x are only raised to the first power, making it a linear equation.

It is also important to note that linear equations have no exponents or absolute value signs, and only involve additions, subtractions, multiplications, and divisions of variables and constants. The equation 4 + y = 2x fits these criteria, making it a linear equation.

Vertex: \((-3,5)\)

The vertex is the top point where it curves!

Which is located at: \((-3,5)\)

Y-intercept: \((0,3.2)\)

The Y-intercept is when a point doesn't move or left or right and just goes up or down!

The solution to the system is (x,y) = (9/10, -7/5).

To solve this system, we can use either elimination or substitution method. Here, we will use elimination method:

How to eliminate equation ?

Elimination method involves adding or subtracting equations to eliminate one of the variables. In this case, we want to eliminate either x or y.

Looking at the given equations:

2/3x - 1/2y = 1 (1)

-4/3x + y = -3 (2)

We can eliminate y by multiplying equation (1) by 3 and equation (2) by 2:

2x - 3y = 3 (1')

-8/3x + 2y = -6 (2')

Now, we can add equations (1') and (2') to eliminate y:

(2x - 3y) + (-8/3x + 2y) = 3 - 6

-2/3x = -3

x = 9/2

Substituting x = 9/2 into equation (1'), we can solve for y:

2(9/2) - 3y = 3

9 - 3y = 3

-3y = -6

y = 2

Therefore, the solution to the system is (x,y) = (9/2, 2), which is not one of the choices given.

Multiplying the first equation by 2 and the second equation by 3, we get:

4/3x - y = 2 (1)

-4x + 3y = -9 (2)

Adding equations (1) and (2), we get:

-4/3x + 4/3x + 2y + 3y = 2 - 9

5y = -7

y = -7/5

Substituting y = -7/5 into equation (1), we get:

4/3x - (-7/5) = 2

4/3x + 7/5 = 2

4/3x = 3/5

x = 9/10

Therefore, the solution to the system is (x,y) = (9/10, -7/5).

The answer is not one of the choices given, but it is closest to option (E) which gives (3/2, 1) as a possible solution. However, if we substitute these values into the two original equations, we can see that they do not satisfy both equations simultaneously.

To know more about equations visit :-

https://brainly.com/question/22688504

#SPJ1

Answer:

A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000.

Step-by-step explanation:

Answer:

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

Step-by-step explanation:

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10 sec as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

Answer:

B. slope =  -3

Step-by-step explanation:

Given the two points on the graph: (-4, 3) (-5, 6)

Let (x1, y1) = (-4, 3)

(x2, y2) =  (-5, 6)

Plug these values into the slope formula:

\(m = \frac{y2 - y1}{x2 - x1} = \frac{6 - 3}{- 5 - (-4)} = \frac{3}{ - 5 + 4} = \frac{3}{-1} = -3\)

Therefore, the slope of the line is -3.

Thus, the correct answer is B: -3.  

Please mark my answers as the Brainliest if my explanations were helpful :)

Answer: The slope is -2x. The slope intercept form is Y = -2x - 4

Step-by-step explanation:

Get y by itself just like you are solving for it, all you need to do is subtract 2x

y = -2x - 4

To guarantee that at least three cards of the same suit are chosen from a well-shuffled standard deck of 52 cards, we need to select a minimum of 9 cards.

The worst-case scenario is that we initially select one card from each suit (four different suits) to ensure we have representation from all suits. After this step, we have four cards in hand, each representing a different suit.

Next, we continue selecting cards. In the worst-case scenario, each subsequent card we select will be from a suit different from the ones we already have. Therefore, for the next five cards we select, none of them will match any of the suits we already have.

However, when we select the ninth card, it will necessarily match at least one of the suits we already have because there are only four suits in the deck. Therefore, we will have at least three cards of the same suit.

Hence, to guarantee that at least three cards of the same suit are chosen, we need to select a minimum of 9 cards.

Learn more about the pigeonhole principle here: brainly.com/question/31876101

#SPJ11

After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
To learn more about truth table
https://brainly.com/question/28605215
#SPJ4

The greatest common factor of their product is 2

From the question, we have the following parameters that can be used in our computation:

GCF of 2x - 4 = 2

GCF of 4 * 8  = 4

Using the above as a guide, we have the following expressions

GCF of 2x - 4 = 2

GCF of 4 * 8  = 2  * 2

Write out the common factors

GCF = 2

This means that the GCF is 2

Read more about GCF at

https://brainly.com/question/17067741

#SPJ1

Answer:

1 and -4

Step-by-step explanation:

The vertical asymptote of a function is gotten by equating the denominator of such function to zero.

Given

f(x) = 4x+8/x^2+3x-4

The vertical asymptotes is expressed as;

x^2+3x-4 = 0

Factorize

x^2+4x-x-4 = 0

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

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

x-1 = 0 and x+4 = 0

x = 1 and x = -4

Hence the vertical asymptotes of the function are 1 and -4

Answer: b - r/5 + 7

explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

b = r/5 + 7

Step-by-step explanation:

Distribute first: 5b - 35 = r

Add 35 to both sides: 5b = r + 35

Divide by 5: b = r/5 + 7

In order to find how many drops Mark has left, we must subtract the initial amount he had at the beginning and the amount he gave away.

make both as a common denominator fraction

simplify

he has 4/3 drops of nectar left.

Answer:

no it is not able to be factored

Answer:

Answer:

a) The circumference of a circle is the perimeter of the circle. The circumference of the circle is the distance around a circle, that is the arc length of the circle. The circumference of a circle is given by:

Circumference = 2π × radius; but diameter = 2 × radius. Hence:

Circumference = π * diameter.

Given that diameter of the tire = 2.5 ft:

Circumference of the tire = π * diameter = 2.5 * π = 7.85 ft

b) since the circumference of the tire is 7.85 ft, it means that 1 revolution of the tire covers a distance of 7.85 ft.

1 mile = 5280 ft

The number of rotation required to cover 1 mile (5280 ft) is:

number of rotation =

Step-by-step explanation:

Thats the best i can find.

Answer:

Your answer is correct and you showed all the necessary steps to find the circumference and the number of times the tire would have to rotate to travel one mile. Well done!

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

To know more about interest visit:

https://brainly.com/question/30393144

#SPJ11

The watermelon is hitting the ground at around 10.33 seconds.

To find out when the watermelon hits the ground, we need to look for the time when the height of the watermelon is zero. This is because the watermelon will be on the ground at that point.

The x-intercepts of the function h(t) give us the times when the height is zero. So, we know that the watermelon will hit the ground at t = -0.33 seconds and t = 10.33 seconds.

However, the negative value doesn't make sense in this context, so we can ignore that solution. Therefore, the watermelon is hitting the ground at around 10.33 seconds.

Learn more about Speed and Time:  https://brainly.com/question/31756299

#SPJ11

Answer:

1,000,000,000

Step-by-step explanation:

The correct answer is b) 15.87%, indicating that approximately 15.87% of NFL players have a retirement age less than 31 years old.

To find the percentage of players whose age is less than 31, we can use the standard normal distribution and z-scores.

First, we need to calculate the z-score for the value 31 using the formula:

z = (x - μ) / σ

where x is the value we want to find the percentage for, μ is the mean, and σ is the standard deviation.

In this case, x = 31, μ = 33, and σ = 2. Plugging these values into the formula, we get:

z = (31 - 33) / 2 = -1

Next, we can look up the cumulative probability associated with the z-score -1 in the standard normal distribution table. The cumulative probability represents the percentage of values that are less than the given z-score.

From the standard normal distribution table, the cumulative probability for z = -1 is approximately 0.1587, which corresponds to 15.87%.

Therefore, the correct answer is b) 15.87%, indicating that approximately 15.87% of NFL players have a retirement age less than 31 years old.

Know more about Retirement here :

https://brainly.com/question/31284848

#SPJ11

The Proof for p₁ − 2p₃ − · · · − (n − 3)pₙ₋₁ = 2 is shown below .

In the question ,

it is given that ,

the the number of vertices of Tree T is \(p_{i}\) ,

we have to prove that p₁ − p₃ − 2p₄ − · · · − (n − 3)pₙ₋₁ = 2 ,

First note that \(p_{i}\) = 0 for i ≥ n (a vertex can have degree at most n − 1, which happens for the

star K₁ , ₙ₋₁).

Using the data that tree T has n vertices and (n − 1) edges, we have

p₁ + p₂ + p₃ + · · · + pₙ₋₁ = n               ....equation(1)

and

p₁ + 2p₂ + 3p₃ + · · · + (n − 1)pₙ₋₁ = 2(n − 1)      ......equation(2)

Subtracting the equation(2) from twice the equation(1) , we obtain

p₁ − 2p₃ − · · · − (n − 3)pₙ₋₁ = 2.

(When n = 2 we have p₁ = 2.)

Therefore , it is proved that p₁ − 2p₃ − · · · − (n − 3)pₙ₋₁ = 2    .

The given question is incomplete , the complete question is

Let T be a tree with n vertices, n ≥ 2. For a positive integer i, let pi be the number of vertices of T of degree i .  Prove that

p₁ − 2p₃ − · · · − (n − 3)pₙ₋₁ = 2.

Learn more about Tree here

https://brainly.com/question/29411192

#SPJ4

Answer:

Just use the tangent and plug in 68 into your calculator.

Step-by-step explanation:

The tangent defines the relationship between the 2 perpendicular legs of a right triangle.

Answer:22,000

Explanation:

21.933=21.930

21.930= 21.900

21.900 = 22,000

Answer:

The cost of 7 pens is Rs. 60,  so 2.45

Step-by-step explanation:

find the cost of 7 pens. so 3 divided by 1.05 = 0.35 then multiply by 7 =  2.45 hope this helps can i get brainlyesti tried my best;]

Answer:

b

Step-by-step explanation:

Answer: "3 + x".

Step-by-step explanation:

The execution of the code segment will result in statement2 being executed. The code segment contains a conditional statement that uses the logical OR operator (||) to combine two conditions.

The first condition checks whether the result of dividing num1 by num2 is less than 0, while the second condition checks whether the product of num1 and num2 is greater than 0.

Given that num1 is 0 and num2 is 10, the first condition will evaluate to false, because 0 divided by any positive number is 0. However, the second condition will evaluate to true, because the product of two non-zero numbers with the same sign is always positive.

Since the logical OR operator requires only one of the conditions to be true for the entire statement to be true, the overall result will be true. As a result, statement1 will not be executed, and statement2 will be executed instead.

To learn more about code click on,

https://brainly.com/question/26071248

#SPJ4

So, the last three digits of m*n is 001.

Let p be the probability that Alfred wins given that he goes first. Then, the probability that Bonnie wins given that she goes first is 1-p. Therefore, the probability that Alfred wins the second game given that Bonnie went first in the first game is 1-p. Similarly, the probability that Alfred wins the third game given that he went first in the second game is p, and so on.

Therefore, the probability that Alfred wins the sixth game given that he went first in the first game is:

p(1-p)(1-p)(p)(p)(p) = p^4 (1-p)^2

Since m and n are relatively prime, the last three digits of m*n are the last three digits of p^4 * (1-p)^2, which is the last three digits of p^4 and the last three digits of (1-p)^2. Since p is the probability of winning given that you go first, it is a number between 0 and 1. Therefore, the last three digits of p^4 and (1-p)^2 are 001, resulting in the last three digits of the final answer being 001.

Therefore, the last three digits of m*n is 001.

To learn more about probability

Visit; brainly.com/question/28525447

#SPJ4

Answer:

The first man has 7 oranges and the other man has 5 oranges

Step-by-step explanation:

System of Equations

To solve the problem, we set the variables:

x = number of oranges of the first man

y = number of oranges of the other man

If the other man gives one orange to the first man:

x + 1 = one more orange for the first man

y - 1 = one less orange for the second man

The first condition is: if the other man gives one orange to the first man, the latter would have double oranges:

x + 1 = 2 (y - 1)

Operating:

x + 1 = 2y - 2

x = 2y - 3       [1]

The second conditions states if the first man gives one orange to the other man, they would have the same number of oranges:

x - 1 = y + 1       [2]

Substituting [1] in [2]

2y - 3 - 1 = y + 1

Subtracting y and operating:

2y - y - 4 = 1

y = 1 + 4

y = 5

From [1]:

x = 2(5) - 3

x = 7

The first man has 7 oranges and the other man has 5 oranges