Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation -1/2x + 3 = 4 - 1/4x?

9514 1404 393

Answer:

  1. line b is perpendicular to the other two, which are parallel

  2. line a is perpendicular to the other two, which are parallel

Step-by-step explanation:

1. The differences between coordinates (∆x, ∆y) are ...

  (-2, 3) -(1, -1) = (-3, 4) . . . line a

  (-3, 1) -(1, 4) = (-4, -3) . . . line b

  (0, 2) -(3, -2) = (-3, 4) . . . line c

When the (∆x, ∆y) values are identical, the lines are parallel. If the values are swapped, and one differs in sign, the lines are perpendicular.

  line b is perpendicular to lines a and b, which are parallel

__

2. When all of the equations are written in standard form, they are ...

As above, when the x- and y-coefficients are identical, the lines are parallel. If they are swapped and one is negated, the lines are perpendicular.

  line a is perpendicular to lines b and c, which are parallel

__

In the attached graph, the lines of part 1 are blue; those of part 2 are red.

Answer:

189,918

Step-by-step explanation:

2010-2015:

186,000 * 0.057 = 10,602

186,000 + 10,602 = 196,602

2015-2020:

196,602 * 0.034 = 6,684

196,602 - 6684 = 189,918

Answer:

98 units.

Step-by-step explanation:

Circumference = 2 * pi * radius

615.44 = 2 * 3.14 * r

r = 615.44 / (2 * 3.14)

 =2 * 3.14

 = 98 units.

Answer:

Displaced

Step-by-step explanation:

If you tried detection, it won't make sense. Nor would intensity.

The probability of each component failing must be 0.1 or less for the probability of the system functioning to be 0.99.

The formula for the probability of parallel events is as follows: P(A) + P(B) - P(A) * P(B)

For three parallelly connected events, the formula for the probability that none of the events will fail is as follows: Probability = P(A) * P(B) * P(C)

Therefore, the probability of failure for each of the parallel events = 1 - probability that it will function = 1 - p

Also, as the components are independent, we can say that the probability of the system functioning = the probability of all of the components functioning.

As a result, the following formula is used: P(system functions) = Probability(A) + Probability(B) + Probability(C) - Probability(A) * Probability(B) - Probability(B) * Probability(C) - Probability(A) * Probability(C) + Probability(A) * Probability(B) * Probability(C)

Given that P(system functions) = 0.99, we can write the following:

P(system functions) = 1 - P(At least one component fails)0.99 = 1 - (Probability(A) + Probability(B) + Probability(C) - Probability(A) * Probability(B) - Probability(B) * Probability(C) - Probability(A) * Probability(C) + Probability(A) * Probability(B) * Probability(C))

We substitute 1 - p for each of the probabilities in the formula because it is a parallel circuit with independent components.

We have: P(system functions) = 1 - (1 - p)(1 - p)(1 - p) = 0.99 ⇒ (1 - p)³ = 0.01⇒ 1 - p = ∛0.01⇒ 1 - p = 0.1⇒ p = 0.9

The probability of each component failing must be 0.1 or less for the probability of the system functioning to be 0.99.

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Answer:

y=12x-39

Step-by-step explanation:

it's linear equation so the domain is real number

Answer:

1. $1.2

2.  $0.14

Step-by-step explanation:

Step one:

given data

Black beans last week that cost $1.34

Step two:

This week's price

5 cans of beans cost $6.00

The cost per can is

= 6/5

=$1.2

The difference in price

=1.34-1.2

= $0.14

1,470

Step-by-step explanation:

because if he 4 miles and than 3 miles you would add them and get 7. you would take that 7 and double the 7 and multiply it by 105 cause that's how many calories he burnt each miles he ran then you would get the total of 1470 calories

The following rigid transformations are applied:

The solution set is found by the fact that the domain of quadratic functions is the entire real domain.

According to the Euclidean geometry, rigid transformations are those transformations applied on geometrical loci such that Euclidean distances are conserved in every point of the loci. Reflections and translations are sound examples of rigid transformations.

In this question we must derive all needed rigid transformations to turn f(x) into g(x), both quadratic functions. After a careful analysis we conclude that the following rigid transformations are applied:

The solution set is represent by all x-values such that the function exists. According to real algebra we remember that the domain of quadratic functions is the real domain. Thus, the solution sets of f(x) and g(x) are the real domain.

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A homogeneous linear system of 6 equations with 3 variables may have 0, 1, or infinitely many solutions depending on the properties of the equations.

A homogeneous linear system is a system of linear equations where the constant terms are all equal to zero. In general, the number of solutions depends on the relationship between the number of equations and the number of variables, as well as the properties of the equations themselves.

In your case, you have 6 equations with 3 variables. If the system is consistent, it will always have at least one solution, which is the trivial solution (all variables equal to zero). If the system is also linearly dependent, meaning some of the equations are multiples or linear combinations of others, then the system will have infinitely many solutions. However, if the system is inconsistent, meaning there is a contradiction among the equations, then there will be no solution.

To summarize, a homogeneous linear system of 6 equations with 3 variables may have 0, 1, or infinitely many solutions depending on the properties of the equations.

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The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

        ≤ : less than or equal to

        ≥ : greater than or equal to

        < : less than

        > : greater than

        ≠ : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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Answer:

The stack of blocks is 25.96 inches tall

Step-by-step explanation:

Volume of a Cube

Suppose we are given a cube of side L, the volume is calculated by:

\(V=L^3\)

If the volume is given, the side can be found by solving for L:

\(L=\sqrt[3]{L}\)

We know three cube-shaped blocks with volumes 375, 648, and 1029 cube inches. We'll find each of the side lengths and add them up to find the height that results when they stack up vertically.

Block 1, volume =375 cube inches:

\(L_1=\sqrt[3]{375}=7.21\ inch\)

Block 2, volume= 648 cube inches:

\(L_2=\sqrt[3]{648}=8.65\ inch\)

Block 3, volume =1029 cube inches:

\(L_3=\sqrt[3]{1029}=10.10\ inch\)

Total height=\(7.21\ inch+8.65\ inch+10.10\ inch=25.96\ inch\)

The stack of blocks is 25.96 inches tall

Answer:

5x - 10

Step-by-step explanation:

7x - 2(x + 5)

= 7x - 2x -10

Please mark me brainliest if my answer is correct! Thanks!

= 5x - 10

The slope-intercept form of a line perpendicular to y= -1 and that passes through (2,-5) is y = −5.

What is  slope-intercept?

A method of formulating a line's equation that makes it simple to identify the slope and y-intercept is known as the slope-intercept form. The point where the line crosses the y-axis is known as the y-intercept, and the slope refers to how steep the line is.

y=-1 is a vertical line.

Since the required line is perpendicular to x =-1, the required line is horizontal.

The required line is a horizontal line passing through (2, −5).

Hence, the equation of the required line is y = −5

The equation of the required line in slope intercept form is:

y = 0x − 5 or y = −5

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Answer:

The product of their ages is 36

The sum of the girls age is 13

two sister=?

13 by 36

26

The value closest to the correlation for the given scatterplot would be C.) -0.75.

In a scatterplot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. A value of -0.75 indicates a strong negative correlation. Since the data points fit loosely around a line that slopes down to the right, it suggests a negative correlation. The closer the correlation coefficient is to -1, the stronger the negative correlation. Option C.) -0.75 is the value closest to -1 and represents a stronger negative correlation compared to the other options.

To determine the precise correlation coefficient, statistical calculations or software can be used. These calculations involve measuring the covariance and standard deviations of the variables. However, based on the given description, it is apparent that the data points exhibit a loose fit around a downward-sloping line, indicating a strong negative correlation.

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There are 3,000 adults and 1,000 children aboard a cruise ship for a 3-day trip. Every adult consumes 2 liters of water per day, and every child consumes half that amount, based on EPA intake standards.

4W% of the water is wasted and not consumed.

To the nearest 1,000 liters, the quantity of drinking water (L) required for the journey is:

Water required (liters)

= (Number of adults × Water consumed by 1 adult + Number of children × Water consumed by 1 child) × Number of days × (100 + Waste percentage) / 100As a result, the answer is:

The amount of drinking water (L) the boat needs to take along for the trip is 30,000 liters.

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The approaches of the limits are given as follows:

The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.

Hence, if the function increases indiscriminately, with the graph pointing up, we have that the limits approaches positive infinity, while if the function decreases indiscriminately, with the graph pointing down, we have that the limits approaches negative infinity.

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The system of linear equations which has the rank of coefficient matrix equal to augmented matrix and equal to the number of unknowns, has only one solution called the unique solution.

Two types of system of equations exist- consistent and inconsistent.

Inconsistent means that it has no solution , i.e. the solution does not exist , here

Rank of augmented matrix is not equal to that of coefficient matrix.

Consistent system means a solution of the equation exists i.e.

rank of augmented matrix = rank of coefficient matrix.

Now, a consistent system can be of two types again - It may have a unique solution ,i.e.

rank of augmented matrix = rank of coefficient matrix = no. of unknowns

or an infinite number of solutions, where

rank of augmented matrix = rank of coefficient matrix < no. of unknowns   (here we need to assign an arbitrary value to a free variable to find its solutions).

For e.g. let us consider the system -

x + y+ z = 0

2x + 3y + 4z = 1

Since , (0,0,0) is obviously satisfying the equation and so is a solution to this system , the given system is a consistent system .

Also, for a system to be consistent , either a unique solution exists or an infinite number of solutions exist. There is no particular number of solutions.

Here, we see that (-1,1,0) is also a solution other than the zero solution.

We can clearly see that the number of unknown variables , x,y,z is 3 and the number of equations is 2.

Thus, The system if there are fewer equations than variables has infinite solutions, equal number of equations as the unknowns has the unique solution.

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Answer:

Step-by-step explanation:

Plug in X for each one

Answer:

first answer: 7

second answer: 19

third answer: 21

forth answer: 23

Answer:

28.5

Step-by-step explanation:

9x5/2 + (6x2)/2

Answer:

Step-by-step explanation:

Area of triangle= 1/2 (Length x breadth)

For first triangle : 1/2 x 6 x 2= 6cm^2

For the second triangle:

1/2 x 9 x 5=22.5 cm^2

Summing both of them :

22.5 + 6 = 28.5cm^2

Hope it helped:)

Answer:

The day that Angelique and Bentley will be at the gym on the same day is; the 42nd day.

Angelique's days:
6, 12, 18, 24, 30, 36, 42

Bentley's days:
7, 14, 21, 28, 35, 42

In conclusion, the earliest day that Angelique and Bentley will be at the gym on the same day will be, the 42nd day.

Step-by-step explanation:

Have a great rest of your day
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Where’s the image? I don’t see it

Answer:

(E KL),(F,LK)

Step-by-step explanation:

I don't know how to explain it sorry but the answer is right

The two rays are  LM→ & LK→  form the angle ∠KLM

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

So, here, the rays LM-> & LK-> form the angle ∠KLM.

Hence, The two rays are C. LM→ & F. LK→  form the angle ∠KLM.

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the answers are A and D hope this helped

Answer:

no

Step-by-step explanation:

Answer:

2.88449914

Step-by-step explanation:

Answer:

Expand the following:

(-5 x + 2 + 6)/4

Grouping like terms, -5 x + 2 + 6 = -5 x + (2 + 6):

(-5 x + (2 + 6))/4

2 + 6 = 8:

(-5 x + 8)/4

(-5 x + 8)/4 = -(5 x)/4 + 8/4:

-(5 x)/4 + 8/4

The gcd of 8 and 4 is 4, so 8/4 = (4×2)/(4×1) = 4/4×2 = 2:

Answer:  -(5 x)/4 + 2 = −5/4x+2

Step-by-step explanation:

For Trigonometric functions to work we need a hypotenuse, which we can only get in right triangles.

What are Trigonometric functions?

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

Here,

We have to find out why trigonometric ratios are used only for right triangles.

We concluded that when we are dealing with triangles other than right triangles, the solution is to draw a perpendicular line to create right triangles. For Trigonometric functions to work we need a hypotenuse, which we can only get in right triangles.

Hence, for Trigonometric functions to work we need a hypotenuse, which we can only get in right triangles.

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