Solve the following rational equation. Be sure to list the NPV’s and verify your solution(s).
[tex]\frac{2}{2x-6}-\frac{x}{x^2-9} =\frac{3}{x-3}[/tex]

Answer: 2 / (x + 2)

Message: If this was helpful, let me know by giving me a thanks! :)

Answer: 50

Step-by-step explanation:

Assuming your expression is 2x^2+yz, just plug the numbers in: 2*4*4+6*3 = 32 +18 = 50

Plugging in just means looking at the values the probme give syou for variables (x=4 for example) and replacing the variable with that number in the expression you want to find the value of.

All the statements are true.

A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

Y = mx + b, where m is the slope and b is the y-intercept, is the slope equation utilizing the equation of a line.

A. The triangles drawn between each pair of points are similar.

B. The ratio of y2-y1/x2-x1  will be the same for Tavion and Jess.

C. Both students should find a slope of .

To learn more about slope of line visit:

https://brainly.com/question/16180119

Answer: Commutative Property

Answer: n=30

Step-by-step explanation:

first, you subtract 3, as 'and' refers to addition and the opposite is subtraction. this gives you 60.

then you divide by 2, which gives you 30.

if you want, you can input 30 into the equation the situation creates, which is 63 = 2n + 3. input 20 makes 2(30) + 3, which is 60 + 3, which is 63.

Answer:

6/49  

Step-by-step explanation:

-2/7  *   -3/7   = (-2 * -3) / (7*7) =  6/49

Answer:

y= -1/2x+2

Start at -5 then go up 1 then right 3

Step-by-step explanation:

The area of the quadrilateral is equal to √901 square units.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the quadrilateral in a two-dimensional plane is called the area of the quadrilateral.

Given that quadrilateral ABCD with A(-4,-2), B(-3,2), C(2,4) and D(4,-3). Calculate the sides of the quadrilateral by the distance formula,

AB = √[(2+2)² + (-3+4)²]

AB = √(16+1)

AB = √17

CD = √[(4-2)² + ( 4 + 3)²]

CD = √ (4+49)

CD = √53

The area will be calculated as,

Area = AB x CD

Area = √17 x √53

Area = √901 Square units

To know more about an area follow

https://brainly.com/question/12441195

#SPJ1

If the tubing size delivers 15 drops per gtt/ml, then the drip rate is 7 gtt/min.

This easy calculation can be used to determine the IV drip rate: Total Volume (mL)/Time (min) x Drop Factor (gtt/mL) equals IV Drip Rate (gtt/min) When given the volume to be injected, the drip rate, and the drop factor, this equation can also be rearranged to determine the amount of time needed for an infusion.

Based on how many drops (gtt) are given to the patient each minute, the rate of an intravenous infusion is described as having an IV drip rate. The amount that needs to be infused in total, the type of tubing used (microdrip vs. macrodrip), and the length of time the infusion is scheduled to run all have an impact on this.

We will use the drip rate formula

Total Volume(mL)/Time (min) x Drop Factor(gtt/mL) = IV Drip Rate (gtt/min)

18 hours = 18 × 60min

              = 1080 mins

IV Drip Rate = 500/1080 × 15

                    = 7 gtt/ min

To know more about the Drip rate

https://brainly.com/question/29714014

#SPJ1

The measure of all the angles from 1 to 20 is obtained from the concepts related to transversal lines.

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

Given, AB || CD and EF || GH.

m∠5 = 63° and m∠8 = 80°.

Now from all the concepts of vertically opposite angles are equal,

pair of alternate angles are equal, the sum of all the sides of interior angles in a triangle is 180°, pair of linear angles is 180°, measure of an exterior angle in a triangle is the sum of two opposite interior angles we obtain that,

m∠1 = 37°, m∠2 = 63°, m∠3 = 80°, m∠4 = 37°, m∠5 = 63°, m∠6 = 80°,

m∠7 = 100°, m∠11, = 63°, m∠12 = 80°, m∠13 = 47°. m∠14 = 63°, m∠15 = 80°,

m∠16 = 47°, m∠17 = 110°, m∠18 = 70°, m∠19 = 110°, m∠20 = 70°.

learn more about transversal here :

https://brainly.com/question/17432060

#SPJ1

The counter example for the system of equation is given by x + y = 1 ,

-x - y = 1 has the result 0 = 2 but ( 0, 2 ) is not the solution of the equation. It proves statement is false.

As given in the question,

Form the given system of equations , using elimination method to get the solution of the equation which shows the result 0 = 2 is as follow:

a. x + y = 1

- x - y = -1

0 = 0

Not the required result.

b. x + y = 1

  x - y = 1

 2x = 2

Not a required result.

c. x + y = 1

  - x - y = 1

     0 = 2

Required result.

Analyze : substitute x = 0 and y = 2 in any one equation

0 + 2 = 1

or -0 -2 = 1

Both the equations proves that statement is false.

d. x + y = -1

  -x -y = -1

   0 = -2

Not a required result.

Therefore, the system of equation of option c.  x + y = 1 , -x - y = 1 has the result 0 = 2 and proves it is the false statement.

Learn more about system of equation here

brainly.com/question/12895249

#SPJ4

Answer:

No solution.

Step-by-step explanation:

You would multiply -2 to the 2nd equation and you would get -8x+2y=-2 and you would add that to 8x-2y=2 and when you would add all of them would eliminate or cross each other out, showing no solution.

Answer:12,-8

Step-by-step explanation:

3 to the right 1 down

Answer: 4 x 4 = 16

Step-by-step explanation: If you want a number one less that 5, subtract 1 from 5, then find a number that you can multiply by the answer to 1-5 to get less than 24. In this case, we used 4, to get 16. 16<24.

s is an eigenvalue of A.

Eigenvalues are a unique collection of scalar values connected to a set of linear equations that are most likely seen in matrix equations. The characteristic roots are another name for the eigenvectors. It is a non-zero vector that, after applying linear transformations, can only be altered by its scalar component.

A =[tex]\left[\begin{array}{ccc}a_{11} &a_{12} &\\a_{21} &a_{22} &\\&\end{array}\right][/tex][tex]\left[\begin{array}{ccc}f1\\f2&\\\end{array}\right][/tex]

[tex]f_{1} = a_{11} + a_{12}[/tex]

[tex]f_{2} = a_{21} + a_{22}[/tex]

We see that if (A - sI) is unique, then s is an eigenvalue of A. ( I is the identity matrix). Keep in mind that if every column in A adds up to s, then the total of the resultant vector is zero when s is subtracted from one item.

We know that the image of a matrix is the span of its column vectors. Since all the column vectors are members of the above-mentioned subspace, the image of the transformation is contained in this subspace. Thus, the rank of our n x n matrix is less than n. Thus, (A - sI) is singular.

Thus, s is an eigenvalue of A.

Transposition preserves eigenvalues (this is actually a profound statement, in a way). If A has columns adding to s, then A^T has rows adding to s. Let v be the column vector of 1's.

A^T * v = s * v.

Thus, s is an eigenvalue of A^T

Thus, s is an eigenvalue of A.

To know more about eigenvalue click the link:

brainly.com/question/29579848

#SPJ4

Answer:

196

Step-by-step explanation:

(18-4)^2

14^2 or 14x14

14x14=196

Speed

1500 m/sec

Time 20 seconds

Given speed and time, you can calculate distance.

Distance = Time * Speed

Distance = 1500 * 20

Distance = 15000 * 2

Distance travelled by the sonar = 30,000 meters

Since its bouncing off the ocean floor and returning, divide by 2 to find one way distance.

Depth 15,000 meters

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

The answer would be (C) 20.

Answer:

The 2nd quartile, also known as the median, is the middle value of a dataset, or the value that separates the lower half of the data from the upper half. In a box-and-whisker plot, the 2nd quartile is represented by the line in the middle of the box.

In the given box-and-whisker plot, the 2nd quartile is 12.5, which is the middle value of the data set. This can be determined by looking at the scale on the x-axis and finding the value that is in the middle of the box.

Option B, 12.5, is the correct answer.

Step-by-step explanation:

Answer:

2/-5

Step-by-step explanation:

The required length of the ladder using the Pythagorean theorem is (D) 5 ft.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.

According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

The hypotenuse (third side) of a right-angled triangle, for instance, can be determined using the formula c² = a² + b², where 'c' stands for the hypotenuse and 'a' and 'b' are the two legs.

So, the length of the ladder will be:

Pythagorean theorem: c² = a² + b²

Now, substitute the values and calculate as follows:

c² = a² + b²

c² = 4² + 3²

c² = 16 + 9

c² = 25

c = √25

c = 5ft

Therefore, the required length of the ladder using the Pythagorean theorem is (D) 5 ft.

Know more about the Pythagorean theorem here:

https://brainly.com/question/28921824

#SPJ1

Answer:

The area of the rectangle is increasing at a rate of 54 cm2/s.

Step-by-step explanation:

Answer:

-11 in top left, 5 in top right, -12 in bottom left, and -2 in bottom right.

Step-by-step explanation:

4C is the matrix C with all its elements multiplied by 4. Same logic applies for 3D. Then subtract each element of 3D from its counterpart of 4C which gives you the final answer. A big shortcut however if you have a TI-84 Plus Graphing Calculator is to use second x^-1 for matrices to edit the matrices and do matrix operations.

At the district competition for 5th grade jump-roper of the year, the mean number of jumps, rounded to the nearest hundredth is 242.83 and the median number of jumps is 265

The mean can be calculated as follows:

Observations (the number of jumps each student without pausing was counted); There were 24 observations

Mean is calculated by adding all of the observations together.

Mean = (203 + 245 + 237 + 233 + 90 + 100 + 100 + 277 + 265 + 264 + 265 + 285 + 288 + 291 + 291 + 290 + 300 + 224 + 200 + 257 + 290 + 279 + 266 + 288)/24

Mean = 5828/24

Mean = 242.83

to figure out the median;

The observations must first be put into either ascending or descending order.

Ordered in descending order

90, 100, 100, 200, 203, 224, 233, 237, 245, 257, 265, 265, 265, 266, 277, 279, 285, 288, 288, 290, 290, 291, 291, 300

Given that there have been 24 observations (an even number).

The middle number, 265 and 265 at the midway of items 12 and 13, is used to calculate the median.

The average of these figures is then determined.

Median = 1/2 (265 + 265)

Median = 265

Learn more about mean at https://brainly.com/question/16582452

#SPJ4

The graph of the line y = (-2/3)x + 8 with appropriate labels and scale has been plotted

The equation of the line is given that

y = (-2/3)x +  8

The given equation is in slope intercept form of the line

y = mx + b

Where m is the slope of the line

b is the y intercept

y is the y coordinate value

x is the x coordinate value

The slope of the line = -2/3

The slope of the line is the change in y coordinates with respect to the change is x coordinates of the line

y intercept is 8

Substitute the value of x in the equation and find the value of y

Plot the graph using the equation

Therefore the graph of the line has been plotted

Learn more about slope intercept form here

brainly.com/question/9682526

#SPJ4

The equation that satisfies the given pattern is y = -2x

Given,

x ; 1, 2, 3, 4, 5

y ; -2, -4, -6, -8, -10

The pattern; y = -2x + ?

We have to find an equation that satisfies the given pattern;

Here,

Take k as ?

Then,

y = -2x + k

Where,

x = 1 and y = -2

Now,

-2 = -2 × 1 + k

-2 = -2 + k

k = -2 + 2 = 0

k = 0

That is,

The equation will  be like, y = -2x

Learn more about equations here;

https://brainly.com/question/24340398

#SPJ4

Answer:

  35.8

Step-by-step explanation:

It looks like you want the value of ...

  [tex]\dfrac{22}{7.8-\left|-3\dfrac{2}{5}\right|}\times(-3)^2-9\dfrac{1}{5}[/tex]

Simplifying and writing the numbers as decimal values, we have ...

  [tex]\dfrac{22}{7.8 -3.4}\times9-9.2=\dfrac{22}{4.4}\times9-9.2=5\times9-9.2\\\\=45-9.2=\boxed{35.8}[/tex]

Answer:

  7x -(12¾)

Step-by-step explanation:

You want the algebraic expression for "12¾ less than the product of 7 and a number x".

The product of 7 and x is represented as ...

  7x

If you want 12¾ less than that, then you subtract 12¾.

  7x -12¾ . . . . . . . the desired expression

__

Additional comment

A "product" is what we call the result of multiplication. The operation of multiplication can be indicated several ways. If there is no ambiguity, the most common way to show multiplication is to write the values next to each other without any symbol.

  7x . . . . 7 times x

Sometimes, it is helpful to put the values in parentheses:

  (7)(x)

A multiplication symbol can be used, if desired.

  7·x

  (7)×(x)

When showing multiplication using the symbol ×, care must be taken to differentiate it from the symbol x, especially if confusing these symbols will give a different result than desired. (Sometimes, when the symbol × is unavailable, an 'x' is used instead.)

Occasionally, you will see a dot on the baseline used as a multiplication symbol. Likewise, you may see a centered dot intended as a decimal point.

  7.x . . . . . 7 times x

  7·3x . . . . 7 and 3 tenths times x (maybe)

When different numbers are involved, the use of a baseline dot for multiplication, and a centered dot for a decimal point can be confusing.

  7.3.x . . . . could be (7)(3)(x) or (7.3)(x)

  7·3.x . . . . could be (7)(3)(x) or (7.3)(x)

In general, a notation should be chosen so as to reduce any ambiguity to a minimum and communicate in a way that the audience understands.

When a mixed number is involved, as above, it can be useful to enclose it in parentheses, so it is not confused with the product of an integer and a fraction. The font used to express the fraction can be chosen to help reduce the ambiguity.

Answer:

TRUEEEEEEEEEEEEEEEEEE

Step-by-step explanation: