Solve the system of equation

Solve The System Of Equation

Answers

Answer 1

Answer:

x = 0

y = 1

z = -4

Step-by-step explanation:

6x + 4y + 1z = 0 => z = -6x -4y

If 12x - 4y - 5z = 16, then

12x - 4y - 5(-6x - 4y) = 16

12x - 4y + 30x + 20y = 16

42x + 16y = 16 => 21x + 8y = 8

then y = (8 - 21x)/8

if -24x - 4y + 5z = -24

-24x - 4y + 5(-6x -4y) = -24

-24x - 4y - 30x - 20y = -24

-54x - 24y = -24 => -9x - 4y = -4

substitute y = (8 - 21x)/8

then -9x - 4(8 -21x)/8 = -4

-9x - 1/2(8 -21x) = -4

times 2 in both side

-18x - (8 - 21x) = -8

-18x - 8 + 21x = -8

3x = -8 + 8

3x = 0

x = 0

then y = (8 - 21x)/8 = (8 - 21(0))/8 = (8 - 0)/8 = 8/8 = 1

then z = -6x -4y = -6(0) - 4(1) = 0 - 4 = -4

Hope this helps


Related Questions

-1.32+x=1
-1 -1

Not sure about this??

Answers

Answer:

x=2.32

Step-by-step explanation:

-1.32+x=1

add 1.32 to both sides

1.32 cancels itself out

so you are left with x=2.32

simplify the following
(4x + 3) (5x + 2) ​

Answers

Answer:

20x^2+23x+6

Step-by-step explanation:

(4x+3)(5x+2)

(4x)(5x)+2(4x)+(5x)3+3(2)

20x^2+8x+15x+6

20x^2+23x+6

Hope that helps :)

Answer:

20x^2 + 23x + 6

Step-by-step explanation:

4x (5x + 2) + 3(5x + 2)

20x^2 + 8x + 15x + 6

20x^2 + 23x + 6

A bag contains 7 red marbles, 8 blue marbles and green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be red?

Answers

Answer:

For this problem you will be multiplying 3 probabilities together: P(#1 is blue)*P(#2 is blue)*P(#3 is blue). For the first probability, we just need to divide the number of blue marbles by the total number of marbles which would be 8/18. For the 2nd probability, we need to remember that we have already removed 1 blue marble so that the number of blue marbles remaining is now 7 and the total number of marbles is now 17 to give us 7/17. We would repeat this process to get the third probability and then multiply all the probabilities together.

1. Use the three-dimensonal figure to draw the orthographic projection for each indicated viewpoint or perspective.
a. Front view
b. Back view
c. Bottom view
d. Top view

Answers

Answer:

I kinda color coded it. Hopefully this helps.

Step-by-step explanation:

Please look at the attached screenshots.

the 3-dimensonal figure color and attached below the orthographic projection for each indicated viewpoint or perspective.

A 3-dimensional figure, and solid, is bounded from the flat and curved surfaces that enclose the single region of space. A polyhedron is the solid that is bounded by polygons, known as faces. An edge of the polyhedron is the line segment formed by the intersection of 2 faces.

What are Dimensions?

Dimensions in the mathematics are the measure of the distance and size of the object and region and space in 1 direction. In simpler terms, it is the measurement of the length, width, or height of anything.

Learn more about Dimensions here https://brainly.com/question/13770353

#SPJ2

Daphne has a preloaded games card that she is using to play games at the arcade as shown in the table.

How much did Daphne start with on her card?

by what amount does her card value change per game?

write an equation to represent the situation.​

Answers

Answer:

she starts with $25

every three games she spends $1.50 (.50 per game)

Step-by-step explanation:

i mean i cant really explain it, its kinda self explanatory

I’m unsure how to do this statistics problem I believe it has to do with the bell curve

Answers

You’d have to write out a graph with standard deviation and all that. It would be C. Ask if you want a better explanation

If the two spinners below are spun, what is the probability that the numbers will add to less than six?

Answers

Answer:

3/4 or 75%

Step-by-step explanation:

There are twelve possible outcomes. (4 green for each of the three orange).

The only combinations that add up to six or more are 2&4, 3&3 and 3&4.

That’s 3 out of 12.  So 9 out of 12 combinations will add up to less than 6.

9/12=3/4 or 75%

Answer:

3/4

Step-by-step explanation:

Find the value of x.
1. m<2=x+41
2. m<2=-4+7x
3. m<2=10x-8
4. m<2=x+141

Answers

Answer:

1. 2=x+41

‐x=41‐2

x=‐39

2. 2=4+7×

‐7×=4‐2

7×=2

3. 2=10×+8

‐10×=8‐2

‐5×=3

5×=‐3

4.2=×+141

‐x+2=141

‐x=139

what is 21 5/8% as a decimal

Answers

Answer: 21.625

Step-by-step explanation:

The percentage of 21 (5/8)% in decimal form is 173/800.

We have,

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The given percentage expression.

21(5/8) %

Divide by 100 to remove the %.

This can be written as,

21(5/8) / 100

Now,

21(5/8)

= (21 x 8 + 5) / 8

Simply the fraction.

= 173/8

Now,

173/8 / 100

Simplify the fraction.

= 173/800

Thus,

The percentage of 21 (5/8)% in decimal form is 173/800.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ4

Please help me. im giving 10 pointssss

Answers

answer: the inequality is 5 x y < 7

hope this helped, i might be wrong though

Answer:

5+y<7

I think

Step-by-step explanation:

log (5x) (x)= 7/2


Answers

Answer:

[tex]x = \frac{\sqrt{70} }{10}, - \frac{\sqrt{70} }{10}[/tex]

(DONT ANSWER IF YOU GOING TO GIVE SOME TYPE OF LINK )please help me I’m begging ya I really need help if I don’t finish in 20 min I’m going to get a whopping and it will get lock!!! My teacher strict she won’t let me do it. (NO LINKS)
(NO LYING) especially if you don’t know it!!!!

Answers

1. 1143.36.

2. Withdrawal

3. Deposit

4.C

5.2185.07

on the first one shows you how to solve it then second one is the problem just tell me the answer pls have a good day bye

Answers

Answer:

[tex] \frac{1}{2} + \frac{10}{12} \: = \: \boxed{\frac{4}{3}} [/tex]

Explanation:

[tex] \frac{1}{2} + \frac{10}{12} \: = \: \frac{1 × 6}{2 × 6} + \frac{10}{12} \: = \: \frac{6}{12} + \frac{10}{12} \: = \: \frac{6 + 10}{12} \: = \frac{16}{12} \: = \: \frac{16 ÷ 4}{12 ÷ 4} \: = \: \frac{4}{3}[/tex]

[Multiply the numerator and denominator by the common denominator so that both denominators are the same]

[Add the numerators together]

[Reduce the fractions and simplify by a common denominator until the denominator or numerator cannot be divided evenly]

An online store sells flower arrangements for birthdays and other special events. In a review of their production costs, the
online store found the mean wholesale cost of one shipment of vases was ĉ = 54 dollars, with a margin of error of 5
dollars.
Construct a confidence interval for the mean cost (in dollars) for one shipment of vases.

Answers

Answer: A confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)

Step-by-step explanation:

Confidence interval for mean: Mean ± Margin of error

Given: The  online store found the mean wholesale cost of one shipment of vases was ĉ = 54 dollars, with a margin of error of 5  dollars.

A confidence interval for the mean cost (in dollars) for one shipment of vases

[tex]=(54-5, 54+5)\\\\=(49,59)[/tex]

Hence,  a confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)

Which of the following are not parts of a pyramid? diameter, altitude, radius, lateral edges, vertex.​

Answers

Yes, the answer is Diameter and Radius.

Answer:

Radius and diameter are not part of a pyramid

Solve the triangle. A = 46°, a = 31, b = 27

Answers

Answer:

A=46 degrees, B=33.4 degrees, C=100.6 degrees

a=34, b=27, c=48.2

Step-by-step explanation:

(a/sin(A)) = (b/sin(B)) = (c/sin(C))

we are given

(34/sin(46)) = (27/sin(B))

34sin(B) = 26sin(46)

34sin(B) = 18.702834809

sin(B) = 0.550083377

note use inverse sin function to find angle B

B = 33.372733167 approx 33.4 degrees then

C = 180 - (46 + 33.4) = 100.6

Then, (b/sin(B)) = (c/sin(C))

27/0.550083377 = c/0.982935349

0.550083377 * c = 27 * 0.982935349

0.550083377 * c = 26.539254427

c = 48.245876056 approx 48.2 .

Lastly, you get: A=46 degrees, B=33.4 degrees, C=100.6 degrees

a=34, b=27, c=48.2

i need help with this!

Answers

Answer:

the square root of 23 is 4.8 or if you need the longer one it's 4.79583152331

Answer:

z=529

Step-by-step explanation:

Let's solve your equation step-by-step.

√z=23

Solve Square Root.

√z=23

z=232(Square both sides)

z=529

Check answers. (Plug them in to make sure they work.)

z=529(Works in original equation)

x^2 =1 how many solutions are there

Answers

Answer:

Answer:

x=1 or x=−1

Step-by-step explanation:

I think just 2

Answer:

x=1, x=-1

Step-by-step explanation:

x^2=1

x=sqrt(1)=+-1

Thus, there are 2 solutions: 1 and -1

PLEASE HELP DUE IN 2 HOURS!


4.22 g/cm to lbs/ft

Answers

Answer:

The answer is 0.28 lbs/ft or 0.3 lbs/ft, if rounded.

Step-by-step explanation:

In order to solve, divide the mass / length value by 14.882.

I hope this helps you.

Find the point of intersection between the ray y = -5/12x when x < 0, and the unit circle.

Answers

Answer is 7 to this question

can someone help me out with these equations?
1. (5+ √3)^2
2. (√6-5√3)^2
3. (6+3√2)^2

Answers

9514 1404 393

Answer:

28 +10√381 -30√254 +36√2

Step-by-step explanation:

It is useful to remember the form for the square of a binomial.

  (a +b)² = a² +2ab +b²

  (a -b)² = a² -2ab +b²

__

1. (5 +√3)² = 5² +2·5·√3 +(√3)² = 25 +10√3 +3

  = 28 +10√3

__

2. (√6 -5√3)² = (√6)² -2·√6·5√3 +(5√3)² = 6 -30√2 +75

  = 81 -30√2

__

3. (6 +3√2)² = 6² +2·6·3√2 +(3√2)² = 36 +36√2 +18

  = 54 +36√2

A quadrilateral has angles that measure 115, 97, and 68. What is the measure of the missing angle? Plz help me I don't know the answer!!!

A.45
B. 115
C.68
D.80

Answers

Answer:

Step-by-step explanation:

The sides of a quadrilateral always add up to 360°.

Missing angle = 360-115-97-68 = 80°

Answer:

D. 80°

Step-by-step explanation:

A quadrilateral always add up to 360°

To find the missing value we first have to add the given number up:

115 + 97 + 68 = 280°

Now we minus our value from 360° :

360° - 280° = 80°

Hope this helps!

-9b+2n-4+2b

Solve please

Answers

Answer:

-9b+2n-4+2b

-7b+2n-4 is your answer

-7+2n-4 is your answer

Solve for x. Assume that lines which appear tangent are tangent.

Answers

Presumably, x is standing in for the question mark.

The pair of vertical angles (DFE and CFV) shown here both have measure 125°. This angle measure is equal to the average of the measures of the arcs intercepted by the chords CE and DV.

So we have

angle DFE = 1/2 (arc CV + arc DE)

125° = 1/2 (x + 200°)

250° = x + 200°

x = 50°

hi, I need to send you a screenshot​

Answers

I mean guess why not :)

Write the equation for the following relation.
D= {(x, y): (3,9), (5, 25), (2, 4), ...)

Answers

Don’t click that link!!

Answer:

y=x^2

Step-by-step explanation:

A quadrilateral has four angles.
Each angle is 90°
(6) Write down the mathematical name of this quadrilateral.

Answers

Square and Rectangle

I hope this helps you

A friend tells you about a recent study dealing with the number of years of teaching experience among current college professors. He remembers the mean but can't recall whether the standard deviation was 6 months, 6 years or 16 years. Which was it?

Answers

Answer:

6 years

Step-by-step explanation:

Help ASAP please!!!!!!!!!!!

Answers

Answer:

im not sure but i think it is A...

Can someone help me?

Answers

no i will not help you
Other Questions
40 points help me please Use the decimal grid to write the percent and fraction equivalents.0.53 WILL GIVE BRAINLIESTWhat is a long-term concern about the use of these technologies? A. Well irrigation will deplete groundwater and lead to desertification. B. Using fertilizers will deplete the world stock of nonrenewable resources. C. Higher-yield crops will encourage farmers to expand, deforesting surrounding areas. D. Easily harvested plants will lead to culls in animal herds formerly used for labor, decreasing sustainability. i need help i will give branliest please !!! On a certain hot summer's day, 344 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $537.00. How many children and how many adults swam at the public pool that day? What is the expanded form of 1,693,222,527? A. 1,000,000,000 + 600,000,000 + 90,000,000 + 3,000,000 + 220,000 + 20,000 + 2,000 + 500 + 20 + 7 B. 1,000,000,000 + 600,000,000 + 90,000,000 + 3,000,000 + 200,000 + 20,000 + 2,000 + 500 + 20 + 7 C. 1,000,000,000 + 600,000,000 + 9,000,000 + 3,000,000 + 200,000 + 20,000 + 2,000 + 500 + 20 + 7 D. 1,000,000,000 + 600,000,000 + 90,000,000 + 3,000,000 + 200,000 + 20,000 + 2,000 + 200 + 50 + 7 DeConinck Soup Co. found that its canned nacho cheese sauce was too spicy for Americans in the East and not spicy enough for those in the West and Southwest. Today, DeConinck's plants in Texas and California produce a spicier nacho cheese sauce than what is produced in the other plants. DeConinck's is using __________ segmentation. Which sign makes this number sentence true?|-6| __ |6| A. > B. Pls help Im stuckkk What unit is kinetic energy measured in? Write in capital letters the name of a popular vehicle brand. Move two vertical lines closer together. Add a horizontal line, and the result will be another popular vehicle brand. What names are these? So again, in capital letters, write the name of a popular vehicle brand. Move two vertical lines closer together, add a horizontal line, and the result will be another popular vehicle brand. What names are these? 13. Which graph best represents -5y = -6x + 15? Help ASAP !!! Where do you find the worlds tallest mountains?A.) oceanic-oceanic convergent platesB.) oceanic-continental convergent platesC.) continental-continental convergent platesD.) over hot spots Evaluate -2x^3-3x^2+4 for x=-2 Who was Mansa Musa? A) the name for the council of leaders that ruled Mali and arranged for trades with other nations B) a Muslim emperor who ruled Ghana for fifty years and brought gold to his kingdom from Egypt C) the fourteenth century Muslim ruler of Mali known for his hajj and the plans he brought back to Timbuktu D) a Muslim leader who introduced Islam to the people of Mali Question:Define Force What form do some schools, especially private schools, use in addition to the FAFSA to determine how to award aid? A) FAFSA II B) Core Residency Form C) CSS/Financial Aid PROFILE D) College Access Loan (CAL) Form Theres 10 in total I need help with Each month, 8 magazines arrive at Sydney's home. Write an equation that would show the number of motnths (n) it took for Sydney to receive 56 magazines.btw this is multiple choice so this is the choicesA. 56n=8B.n+8=56C.8n=56D.56-n=8help me asap What are the solutions of the quadratic equation 4x2 - 8x 12 = 0?