Mathematics High School

What is the solution of the system of equations?

-3x-4y-3z=-7
2x-6y+2z=3
5x-2y+5z=9

Answers

Answer 1
If you have a TI-83 plus or higher, you could create a matrix and use rref to get the solution.

Let's begin with eliminating the y's in equations 1 and 3, then in equations 2 and 3:
[tex]-3x-4y-3z=-7 [/tex] times -1⇒ [tex]3x+4y+3z=7 [/tex] 
[tex]5x-2y+5z=9[/tex] times 2⇒ [tex]10x-4y+10z=18[/tex]

ADD the two equations: 13x + 13z = 25

[tex]2x-6y+2z=3[/tex] times -1⇒[tex]-2x+6y-2z=-3[/tex]
[tex]5x-2y+5z=9[/tex] times 3⇒ [tex]15x-6y+15z=27[/tex]

ADD the two equations: 13x+13z=24

Subtract the two resulting equations and you get 0 = 1 which is false so there is no solution  for the system.


Answer 2

Answer:

Given equations have no solution

Step-by-step explanation:

Given -

Three set of equations -

[tex]-3x-4y-3z=-7\\2x-6y+2z=3\\5x-2y+5z=9[/tex]

We will now equate "x" in the first equation in terms of "y" and "Z" and put it in second equation -

[tex]-3x-4y-3z=-7\\x = \frac{1}{3} (-4y -3z+7)\\\frac{2}{3}(-4y -3z+7) -6y+2z=3\\-8.667 y = -1.667\\y = 0.192\\[/tex]

We will substitute the value of y in the under given equation-

[tex]x = \frac{1}{3} (-4y -3z+7)\\x = \frac{1}{3} (-4*0.192 -3z+7)\\x= 2.077-z[/tex]

substituting the derived values in last equation, we get -

[tex]5x-2y+5z=9\\5(2.077-z)-2(0.192)+5z=9\\10.385-5z-0.384+5z=9\\0=-1[/tex]

Hence, the  given equations have no solution

Related Questions

Which of the following measurements is equivalent to 5 quarts? 25 cups 40 fl. oz. 10 pt. 1 gal.

Answers

10pt. is equivalent to 5 quarts. There are 2 pints in a quart.

You claim to have a magic coin that will land on heads whenever you want. Your friend dares you to prove it by tossing 4 heads in a row. Assuming the coin is fair, what is the probability that your magic will fail?
A) 50%
B) 62.5%
C) 75%
D) 93.75%

Answers

A. 93.75%

because every time you flip it, you lose half the chance for it to land on heads

50%-75%-93%
The correct answer would be 
D) 93.75%

Graph the following inequality and then select the correct graph below. x + y < 1

( first answer choice is a dotted vertical graph shaded down)
(second answer is a vertical line graph shaded up)

plsss help

Answers

first one!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11111111111111111111111111111111111111

Answer:

Given inequality,

[tex]x+y<1[/tex]

For graphing the inequality :

The related equation of the given inequality,

x + y = 1

Having the x-intercept = (1,0),

y-intercept = (0,1),

Also, at (0,0),

0 + 0 < 1 ( True )

⇒ The area of the given inequality x + y < 1 must contain the origin.

Now, '<' show the dotted line.

Thus, by the above explanation we can plot the graph of the given inequality.

Write the equation in slope -intercept form with slope of 4 that contains (-3, -6).

Answers

Formula for point-slope: [tex]y-y1=m(x-x1)[/tex]
Plug in the values: [tex]y + 6 = 4(x + 3)[/tex]

And there you have your answer in point-slope form

Which expression can be used to change 75 kilometers per hours to meters per minute?

Answers

The fractions you use must be the correct conversion factors.

1 km = 1000 m, so you can have the fraction (1 km)/(1000 m) or the fraction (1000 m)//(1 km). You must choose the correct one for this problem.

1 hr = 60 min, so you can have the fraction (1 hr)/(60 min) or the fraction (60 min)/(1 hr). Again, you must choose the correct one for this problem.

The important thing is to choose the correct fraction from the choices.
How do you know which conversion fractions to use?
You look at the given units and the units you want.
You must pick the conversion fraction that will cancel out the units you DON'T want, leaving the units you want.

You have a speed in km/hr.
km is in the numerator. To cancel out km, you must pick the conversion fraction that km in the denominator.
hr is in the denominator. To cancel out hr, you must pick the fraction that has hr in the numerator.

[tex]75 \frac{km}{hr} \times \frac{1000~m}{1~km} \times \frac{1~hr}{60~min} [/tex]

Notice that km and km cancel out leaving m.
Also, hr and hr cancel out leaving min.

?PLEASE HELP!!!!

The table shows the relationship between the number of bracelets made and the number of beads used: Number of bracelets Number of beads 3 24 5 40 7 ? 9 72 The number of beads used to make 7 bracelets is _______.

Answers

Start with your lowest numbers, 3 bracelets have 24 beads. The easiest way to find your answer is to find out how many beads are on 1 bracelet. So 24/3 will give us that answer. 24/3=8. and then multiply 7 by 8 to get 56. then check your answer to make sure it fits.
3 x 8 = 24
5 x 8 = 40
7 x 8 = 56
9 x 8 = 72 

The number of beads used to make 7 bracelets will be equal to 56 beads.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data given in the question,

Three bracelets have 24 beads, so start with the lowest number. Finding out how often beads are on a single bracelet will help you locate the solution the quickest. We shall know the answer on 24/3.

24/3=8.

Then multiplying 56 by 7 to get.

Then confirm that your response still makes sense.

3 x 8 = 24

5 x 8 = 40

7 x 8 = 56

9 x 8 = 72

To know more about arithmetic operations:

https://brainly.com/question/25277954

#SPJ2

Which figure shows how a shape can be rotated about an axis to form the given object?

Answers

See the attached image for the answer and explanations. 

The figure that shows how a shape can be rotated about an axis to form a disc is (c) rectangle

How to determine the figure?

The shapes in the figures are given as:

A. Rectangle

B. Semicircle

C. Inscribed semicircle

D. Another Rectangle

When the first rectangle is rotated about the axis, it forms a spiral shape

Rotating a semi-circle and the inscribed semi-circle about its axis would form a hemisphere

However, when a rectangle that has one of it sides on the axis is rotated, it forms a cylinder or disc

Hence, the figure is (d) rectangle

Read more about rotation at:

https://brainly.com/question/4289712

does anyone know
2x=8y=7
4x-2y=9

Answers

Assuming you mean 2x-8y=7, we can start by multiplying the first equation by -2 and adding it to the second (to cross out the x), resulting in -18y=-5. After that, we can divide both sides by -18, resulting in y=5/18. Next, plugging that into 4x-2y=9, we have 4x-10/18=9. Adding 10/18 to both sides, we get 4x=9+10/18. After that, we can divide both sides by 4, resulting in x=(9+10/18)/4=

(f) how many ways are there to place a total of m indistinguishable balls into n distinguishable urns, with some urns possibly empty or with several balls?

Answers

The number of different ways to distribute m indistinguishable balls into n distinguishable urns is given by C(m+n-1,n-1).

For example, the number of ways 6 ball can be placed in 7 boxes is given by C(6+7-1, 7-1) = C(12, 6) = 924 ways.

What is a methodical step by step procedure that guarantees solving a problem?

Answers

Algorithm is a methodical step by step procedure that guarantees solving a problem. It is a specification and set of rules how to solve a class of problems. As a methodological step the algorithm includes instructions how a particular task should be carried. It must give the correct answer and be suitable for every case.

what is the slope the line cantains the points (-1,2) and (3,3)?

Answers

See picture for the picture leading to the slope.

The scale on a map of Texas shows that 1 inch represents 20 miles. The actual distance from Austin to Dallas is 195 miles. On the map, how many inches apart are the two cities?

Answers

1 inch = 20 miles

so 195 miles is 195/20 = 9.75 inches <==
Final answer:

To calculate the map distance between Austin and Dallas with a scale of 1 inch representing 20 miles, and an actual distance of 195 miles, set up a proportion and solve to find that Austin and Dallas would be 9.75 inches apart on the map.

Explanation:

To find out how many inches Austin is from Dallas on the map, we need to set up a proportion. The scale given on the map is 1 inch represents 20 miles. We know the actual distance between Austin and Dallas is 195 miles. To calculate the distance on the map, we use the proportion 1 inch / 20 miles = x inches / 195 miles.

Cross-multiply to solve for x:

(1 inch) * (195 miles) = (20 miles) * (x inches)

195 inch-miles = 20x inch-miles

Now, divide both sides by 20 miles to solve for x:

x = 195 inch-miles / 20 miles

x = 9.75 inches

So, on the map, Austin and Dallas would be 9.75 inches apart.

Convert the radian measure to degree measure. use the value of π found on a calculator and round answers to two decimal places. five pi divided by six

Answers

recall 1πrad = 180°
1 rad = 180/π
so
5π/6 rad = 180/π × 5π /6 = 5×30 = 150.00° (to 2Dp)

∠E and ∠F are vertical angles with m∠E=8x+8 and m∠F=2x+38 . What is the value of x? Enter your answer in the box.

Answers

Set the two measures equal to each other. Subtract 2x from both sides and subtract 8 from both sides. Leaving you with 6x=30. Then divide 30/6 and you get X=5

Answer:

x = 5

Step-by-step explanation:

We need to remember that vertical angles are opposite to each other when two lines cross. The vertical angles that result from two lines crossing have the same measure.

In this problem we have angle E which measures 8x + 8 and angle F which measure 2x + 38.

Since they are vertical angles, we know that they have the same measure and therefore we can equal them both and solve for x:

[tex]8x+8=2x+38\\8x-2x=38-8\\6x=30\\x=5[/tex]

Therefore, x = 5 (and ∠E = ∠F = 48)

Factor this expression completely.

mr + ns - nr - ms

Answers

Greetings!

[tex]mr+ns-nr-ms[/tex]
Rearrange.
[tex]mr-nr-ms+ns[/tex]
Factor by grouping.
[tex]r(m-n)+s(-m+n)[/tex]
Multiply the expression by -1.
[tex]r(m-n)-1(+s(-m+n))[/tex]
Simplify.
[tex]r(m-n)-s(m-n)[/tex]
Find the GCF.
[tex](m-n)(r-s)[/tex]

Hope this helps.
-Benjamin

You are offered an item for $17.85. If the seller states he normally sells the same item for $19.95, what percentage discount is he offering you?

Answers

Take 19.95 and subtract 17.85 from it to get 2.10. Divide 2.10 by 19.95 to get 0.105. Multiply that by 100 and you get 10.52. So it's 10% or maybe 11% if you're supposed to round. Hope this helps

Answer:

Find out the what percentage discount is seller offering you .

To prove

Formula

[tex]Discouunt\ percentage = \frac{Discount\times 100}{Marked\ price}[/tex]

Discount = Marked price - Selling price

As given

You are offered an item for $17.85. If the seller states he normally sells the same item for $19.95 .

Here

Marked price = $19.95

Selling price = $17.85

Discount = 19.95 - 17.85

               = $2.1

Put in the formula

[tex]Discouunt\ percentage = \frac{2.1\times 100}{19.95}[/tex]

[tex]Discouunt\ percentage = \frac{210}{19.95}[/tex]

Discount percentage = 10.5% (Approx)

Therefore the discount is seller offering you is 10.5 % .


how do u solve using the ratios !

Answers

check the picture below.

surely you know how much that is.

Large reusable bottles cost $4 more than small ones. 8 large bottles cost $24 less than 12 small ones. How much does one small bottles cost?

Answers

$24 + $4 = $28
8 + 12     = 20
28-20=8

Consider the system of equations

{ -2x + 6y = -8
{ cx + 3y = -4

What value of c would produce a system that has an infinite number of solutions?
Justify your answer.

Explain why there is no value of c that would produce a system with no solution.

Enter your answer, justification, and explanation in the box provided.

Answers

Make the equation the same or a multiple of the other to have an infinite number of solutions. See how the -8/2= -4 and 6/2=3 ? then -2/2 = c
Make c = -1 and they are the same linear equation. (same slope, same intercepts, same line) and therefore have infinite solutions.

In order to have no solutions, the lines cannot cross at all and so they must be parallel but not the same line. Parallel lines have the same slope with different intercepts. if you rearrange both equations in slope intercept form:
y = x/3 - 4/3
y = - cx/3 - 4/3

no matter what you make c the lines will always cross at the y-intercept (0, -4/3). this is a solution and therefore there's no value of c that would produce a system with no solution.

The rule (x,y)→(2x,2y) maps △DEF to △D′E′F′.
Which statement correctly describes the relationship between △DEF and △D′E′F′ ?
the triangles are congruent because △D′E′F′ is a rotation of △DEF , and a rotation is a rigid motion.

The triangles are congruent because △D′E′F′ is a reflection of △DEF , and a reflection is a rigid motion.

The triangles are not congruent because △D′E′F′ is a dilation of △DEF , and a dilation is not a rigid motion.

The triangles are not congruent because △D′E′F′ is a translation of △DEF , and a translation is not a rigid motion.

Answers

The rule (x,y)→(2x,2y) maping △DEF to △D′E′F′ is a dilation which enlarges the pre-image by a scale of 2.

Two triangle are congruent when all the corresponding angles are equal and all the corresponding sides are equal.

Therefore, the triangles are not congruent because △D′E′F′ is a dilation of △DEF , and a dilation is not a rigid motion.
The rule: (x,y)→(2x,2y), mapping △DEF to △D′E′F′ can be described as a dilation of △DEF into △D′E′F′. The points are extended away from each other by increasing their distance from the origin, making △D′E′F′ larger than △DEF. A dilation is not a rigid motion, because distance between the points D, E, and F are not preserved, but extended. The triangles are not congruent because they change size.

If be bisects abd find x and m angle abe

Answers

we need a picture of the graph

In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?

Answers

it must be an obtuse triangle

Why do elephants have pointy tails

Answers

i'm finding it hard to see how this is math... real smart, btw. Thanks for the free points!
Pointy tails help make elephants more streamlined and aerodynamic

How is the distance formula like the pythagorean theorem explain?

Answers

The distance formula is simply a variation of the theorem. The method is the same with the Pythagorean however we are now dealing with 2 sets of points instead of 2 lengths. 

In the distance formula, the lengths are derived from the (x1,y1)->(x2,y2) coordinate points and the formula simplified. We still square the difference of x’s and difference of y’s to get our two squares then square root the sum to give our length. While the Pythagorean theorem is directly the sum of the square of the other two sides. 

Nevertheless, both formulas work on the same principle.

Answer:

Both formulas can be used to find the distance between two points on the coordinate plane. The vertical leg of the right triangle represents the difference in the y values of the two points. The horizontal leg of the right triangle represents the difference in the x values of the two points. The hypotenuse of the right triangle represents the distance between the two points.

Step-by-step explanation:

A population of flies grows according to the function p(x) = 5(2)x, where x is measured in weeks. A local spider has set up shop and consumes flies according to the function s(x) = 3x + 2. What is the population of flies after three weeks with the introduced spider?

Answers

the answer should be 11 in case you were wondering.

x = 3 weeks

Growth: 5(2)(3) = 30 flies in 3 weeks

eaten: 3(3) +2 = 9+2 =11 flies eaten in 3 weeks

30-11 = 19 flies ( population after 3 weeks)

If you have a distribution of 50 scores, and you want 5 intervals, what should be the size of your class interval?

Answers

I'm not really sure,  but maybe 10

So I’m doing test corrections and I need help on the problem

Answers

The answer is:  " w ^(-2/9) " .
_________________________________________
Note:   [w^(-4/3) ] ^ (1/6) =  w ^ [ (-4/3) * (1/6) .
_________________________________________
 (-4/3) * (1/6) = (-4 * 1) / (3 * 6) = -4 / 18 = (-4÷2) / (18÷2) = -2/9 ;
_________________________________________

So;  [w^(-4/3) ] ^ (1/6) =
_________________________________________
                         w ^(-2/9) .
_________________________________________

Find the value of X, can someone help me?

Answers

(3x -20) / 56 = 9/72
72(3x - 20)   = 9 (56)
216x - 1440 = 504
           216x = 1944
                 x = 9

Branliest offered
Decide which of the two points on the graph of the line
X=0
A. 0,7
B. -4,0

Answers

A. 0, 7 is your answer

hope this helps

The measure of each interior angle of a regular polygon is 140 degrees, how many sides does the polygon have

Answers

using
[(n-2)180]÷n = 140
(n-2)180 = 140n
180n -360 = 140n
180n -140n = 360
40n = 360
n=360÷4 = 90 sides
Final answer:

The regular polygon with an interior angle of 140 degrees has 9 sides. This conclusion can be reached by using the formula for the interior angle of a polygon, which is (n-2)*180/n, where 'n' represents the number of sides.

Explanation:

The number of sides in a regular polygon can be determined using the formula for the interior angle of a polygon, which is (n-2)*180/n, where 'n' represents the number of sides. This formula comes from the fact that a polygon can be divided into (n-2) triangles, each of which has angles summing up to 180 degrees.

In this particular case, an interior angle of 140 degrees is given. So we will set up an equation: 140 = (n-2)*180/n. Solving for 'n', we get a value of 9.

Therefore, the regular polygon with an interior angle of 140 degrees has 9 sides.

Learn more about Interior angles of polygons here:

https://brainly.com/question/35498523

#SPJ12

Other Questions
what is the answer?for this question An election system in which each party running receives seats in the national legislature corresponding to its proportion of the vote is called a Constantinople was considered the center of the byzantine empire. why? How do fungi break down leaves, fruit, and other organic material into simple molecules? According to Wilson, how can the Constitution be changed? Identify two expressed powers of the vice president A ________ of a color is darker than the original color and is created by mixing the color with black. Boat takes 3 hours to go 6 miles upstream. it can go 18 miles downstream in the same time. find the rate of the current and the rate of the boat in still water Three rivers of India are:- Ganges- Krishna- Nile- Tigris- Narbada Baroque art emerged in the late sixteenth century. How did this artistic style differ from that of Reformation art?A.It depicted everyday scenes.B.It was ornamental and complex.C.It included sculptures and paintings. Suppose you round 43,257,529 to 43,300,000. To what place value did you round the number? A plaintiff who believes that he or she has been injured by the defendant can file a cross-complaint against the defendant true false A court order either forcing a party to do something or prohibiting a party from doing something is called a? What do we call a number with a power of 2 Who was Vladimir Lenin? The Greek culture and language aided the spread of Christianity. When the hanging wall moves down, the fault can be classified as what? the sum of three consecutive odd integers is -51. Find the numbers. Eric Rudolph plead guilty in 2005 to the deadly 1996 Atlanta Olympics park bombing as well as to earlier bombing incidents around the atlanta area why was he spared the death penaltya. The state of Georgia does not use the death penaltyb. His crimes were not heinous enough to receive the death penalty c. He made a deal with the prosecutors called a plea bargain, to spare his life d. He was too young for the death penalty Which will greatly expanded to size and strength of Mughal empire? A. Xerxes B. Caesar Augustus C. Alexander the Great D. Akbar the great Steam Workshop Downloader