Examine the solution to the equation.
-6(x + 5) + 3 = -2(x + 4) - 4x
-6x - 30+3=-2x–8 – 4x
Which statements accurately describe this equation?
Check all that apply.
This equation has one solution.
This equation has no solution.
This equation has infinitely many solutions.
Any input value for the variable will generate a true
equation.
-6x-27 = -6x - 8
-27 = -8
Any input value for the variable will generate a false
equation.
Intro
Done

Answer:

Step-by-step explanation:

We are given

\(X + Y = 47\\and\\Y = X + 9\\\\use \: substitution\\X + (X + 9) = 47\)

Answer: x+(x+9)

Step-by-step explanation:

Answer:

The percentage markdown is approximately 19%

Step-by-step explanation:

The cost at which the computer store bought the program = $40

The selling price at which the store sold the program = $32.5

The percentage markdown is given as follows;

Let CP represent the cost at which the computer store bought the program, and let SP represent the selling price of the program, we can find the percentage markdown as follows;

\(Percentage \ markdown = \dfrac{CP- SP}{CP } \times 100\)

CP = $40, SP = 32.5

Therefore, we get;

\(Percentage \ markdown = \dfrac{40- 32.5}{40} \times 100 = 18.75\% \approx 19\%\)

The percentage markdown ≈ 19%.

True, an optional frame (opt frame) and a true/false condition on a message do serve essentially the same purpose in the context of communication protocols and data representation.

Both of these elements are used to control the structure and flow of data by adding conditional statements that determine whether certain parts of the data should be included or excluded based on specific conditions.
An opt frame is a data structure used in protocol design that allows for the optional inclusion of information. It is a container for data that may or may not be present in the final message, depending on the circumstances or requirements. The inclusion of an opt frame is determined by specific conditions and can be used to customize the message structure, enabling flexibility in communication.
Similarly, a true/false condition on a message is used to specify whether certain elements should be included or excluded based on the evaluation of a specific condition. This mechanism enables messages to be customized according to certain criteria, allowing the sender and receiver to communicate more effectively by focusing only on the necessary information.
Both opt frames and true/false conditions serve the purpose of providing flexible data structures and improving the efficiency of communication protocols. They allow for the customization of message structures based on specific conditions, ensuring that only relevant information is transmitted between parties.

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Answer:

-8/5 = -1.6

-5/8 = -0.625

-1/2 = --0.5

Step-by-step explanation:

The number that is less then -0.625 is -8/5 which is -1.6

The Euler method with a step size of h = 0.5, the approximate numerical solution for the ODE is y(1.5) ≈ -1.1198 x 10^9.

To solve the ODE using the Euler method, we divide the interval into smaller steps and approximate the derivative with a difference quotient. Given that the step size is h = 0.5, we will perform three steps to obtain the numerical solution.

we calculate the initial condition: y(0) = -2.

1. we evaluate the derivative at t = 0 and y = -2:

y' = 3(0) - 10(-2)² = -40

Next, we update the values using the Euler method:

t₁ = 0 + 0.5 = 0.5

y₁ = -2 + (-40) * 0.5 = -22

2. y' = 3(0.5) - 10(-22)² = -14,860

Updating the values:

t₂ = 0.5 + 0.5 = 1

y₂ = -22 + (-14,860) * 0.5 = -7492

3. y' = 3(1) - 10(-7492)² ≈ -2.2395 x 10^9

Updating the values:

t₃ = 1 + 0.5 = 1.5

y₃ = -7492 + (-2.2395 x 10^9) * 0.5 = -1.1198 x 10^9

Therefore, after performing three steps of the Euler method with a step size of h = 0.5, the approximate numerical solution for the ODE is y(1.5) ≈ -1.1198 x 10^9.

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Answer:

6

Step-by-step explanation:

6x-10=26

   +10 +10

6x=36

divide by 6

x=6

Answer:

1st option

Step-by-step explanation:

given 2 sides of a triangle then the third side s is in the range

difference of 2 sides < s < sum of 2 sides , that is

10 - 8 < s < 10 + 8

2 < s < 18

Hence, 15 people out of 3 people can be chosen in 35 ways.

It is given that:

The total number of people in a race, n = 15

The number of finalists, r = 3.

Hence, the number of ways in which 3 people out of the 15 people can be finishers are:

\(^{15}C_{3} }\) = \(\frac{15!}{(15-3)!3!}\) = \(\frac{15!}{12!3!}\) = 35.

Hence, 15 people out of 3 people can be chosen in 35 ways.

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The area of the triangle bounded by the lines y=x y=-x and y=6 is 36 units.

The formula for finding area could be represented in the form of determinants as given below.

\(A = \frac{1}{2} \left[\begin{array}{ccc}x1&y1&1\\x2&y2&1\\x3&y3&1\end{array}\right]\)

First, we need to find the coordinates of the point of intersection of these lines.

y = x

y = -x

Adding the two equations,

2y = 0

y = 0

x = 0

coordinate: (0, 0)

y = x

y = 6

Subtracting the two equations,

0 = x - 6

x = 6

coordinate: (6, 6)

y = -x

y = 6

Subtracting the two equations,

- x - 6 = 0

x = -6

coordinate: (-6, 6)

Calculating area of triangle bounded by the given line:

Area of triangle =

\(\frac{1}{2}\left[\begin{array}{ccc}0&0&1\\6&6&1\\-6&6&1\end{array}\right]\)  =  \(\frac{1}{2} (36 + 36) = \frac{72}{2} = 36\)

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By simple algebra, Jane is 57 9/20 inches taller.

If one object or person's height exceeds that of another, the taller object or person is said to exist. There is a two-object or two-person limit. Taller is a relative term. For instance: Hoppy stands at 7 feet.

You can begin this issue by first figuring out Dwight's height. At 54 3/4 inches, he would be 1 1/2 inches taller than Chloe:

54 3/4 plus 1 1/2 equals 55 + (3/4 + 1/2) equals 55 + (3/4 + 2/4) equals 55 + 5/4 equals 56 1/4 inches.

Dwight stands at 56 1/4 inches.

Dwight is 1 1/5 inches shorter than Jane, so

56 1/4 plus 1 1/5 is 57 plus (1/4 plus 1/5) is 57 plus (5/20 plus 4/20) is 57 plus 9/20 is 57 9/20 inches.

Jane stands at 57 9/20 inches.

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Answer:

n/2 - 6 + 10

8/2 - 6 + 10

4 - 6 + 10

= 8

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

I just took the test, sorry if I didn't come on time.

0.994 us tons is the answer

Answer:

3, 4, 5, 6, 7

Step-by-step explanation:

Answer

3,4,5,6,7 because they are between 2 and 8

If the given point is p(x, y) and change the sign of its x coordinates and y coordinates, then the new location will be on third quadrant

The coordinates of the point p = (x, y)

In the graph, there are four quadrants.

In first quadrant the x axis value and y  axis value will be positive. In second quadrant the value of x will be negative and y will be positive. In the third quadrant the value of and y will be negative. In fourth quadrant the value of x will be positive and y will be negative

Here at first both x and y are positive and it will be on first quadrant. The the sign of the x coordinates and y coordinates will change sign. So both of them will be negative.

Therefore, the location of will be on third quadrant

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Answer:

This is an extremely easy question bro!

1. 3²

2. 3 (Base) ² (Exponent)

3. Expanded form: (9 * 1)

   Standard form: 9

Step-by-step explanation:

Well, there's none.

Answer:

  C.  51 -10√2

Step-by-step explanation:

You want the square of 5√2 -1.

The square of 5√2 -1 can be found using the distributive property.

  \((5\sqrt{2}-1)^2=(5\sqrt{2}-1)(5\sqrt{2}-1)\\\\=5\sqrt{2}(5\sqrt{2}-1) -1(5\sqrt{2}-1)\\\\=(5\sqrt{2})(5\sqrt{2}) -5\sqrt{2}-5\sqrt{2}+1\\\\=25(\sqrt{2})^2-10\sqrt{2}+1\\\\=25\cdot2+1-10\sqrt{2}=\boxed{51-10\sqrt{2}}\)

The required graph A has a slope of negative two-thirds and a y-intercept of 2. Option A is correct.

The slope of the line is a tangent angle made by line with horizontal. i.e. m = tax where x in degrees.

m = (y₂ - y₁) /  (x₂ - x₁)

The graph of lines A  has the slope of -2/3 and 2 as,

m = (y₂ - y₁) /  (x₂ - x₁)

Put points (0, 2) and (3, 0) in the above expression
m = 0-2/3-0
m = -2/3

And at x = 0 there y = 2

Thus, the required graph A has a slope of negative two-thirds and a y-intercept of 2. Option A is correct.

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Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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To determine if equations are parallel, perpendicular, or neither, you need to examine the slopes of the lines represented by the equations.

The slope of a line is calculated using the formula m = (y2 - y1) / (x2 - x1). The slope-intercept equation y = mx + c can be used to identify the slope and y-intercept of a line, where m represents the slope, while c represents the y-intercept.

If two equations are parallel, they will have the same slope.

If two equations are perpendicular, then the product of the two slopes should equal -1. This also means that if one slope is m, the other must be -1/m. If the slope of one line is zero, the line is horizontal, and any line perpendicular to it has a slope of undefined.

The two lines are neither parallel nor perpendicular if their slopes are not the same or opposite reciprocals of each other.

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A system of n number of linear equations in n unknowns has an many number of solutions if the coefficients of matrix is unique. The assertion is always accurate. The given statement is always true.

From the question, the given statement is:

A system of n linear equations in n unknowns has an endless number of solutions if the matrix of coefficients is unique. The assertion is always accurate.

The given statement is always true.

Consider the system of equations Ax = b. If A is single, there is no A-inverse. As a result, there is no one approach to solve the system. Then, there are still two options:

We can't tell which condition is right only examining the matrix [A b]. There exists an endless number of solutions if [A b] is equal to A's rank.

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Answer:

A.

Step-by-step explanation:

The domain has to be a number of days, counted using whole numbers.  It might be tempting to choose answer D, but that set includes numbers like 3.1416.  Really?  I want to rent a vacation home for 3.1416 days?  :-)

Answer:

Step-by-step explanation:

A) the car rate (R) of gas consumption in miles per gallon will be the miles he grive divided by the gallons he spend so first we have to find the number of miles he drive so:

So the rate will be:

B) the average cost in dollars per day will be the total amount of money divided by the number of days he use the car so we know he uses the car for 3 days so the average will be:

And the averarage rate of travel in miles per days will be:

Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

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Answer:D

Step-by-step explanatiation:25th Percentile: 11

50th Percentile: 16

75th Percentile: 22

Interquartile Range: 11

Answer:

x= 432

Step-by-step explanation:

x/12 - 4 = 32

      + 4   + 4

x/12 = 36

(12)x = 36(12)

x = 432

A sampling plan states that if 20 incoming transistors are checked and 2 or less defects are found, the lot is accepted. The probability of accepting the lot of transistors is 0.68

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

Assuming a binomial probability distribution, the formula for binomial distribution is expressed as

\(P(x = r) = nC_r \times q^{n - r} p^r\)

Where

n = number of samples

p = probability that an event will happen.

q = probability that an event will not happen.

From the information given,

n = 20

If an incoming lot is 10 percent defective, it means that

p = 10/100 = 0.1

q = 1 - p = 1 - 0.1 = 0.9

The probability of rejecting the lot would be

P(x lesser than or equal to 2)

P(x = 0) + P(x = 1) + P(x =2)

\(P(x = 0) = 20C_0 \times 0.9^(20 - 0) \times 0.1^0 = 0.12\\(x = 1) = 20C_1 \times 0.9^(20 - 1) \times 0.1^1 \\= 0.12 = 0.27\\(x = 2) = 20C_2 \times 0.9^(20 - 2) \times 0.1^2 \\= 0.12 = 0.29\)

P(x lesser than or equal to 2) = 0.12 + 0.27 + 0.29 = 0.68

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