4x-4y+4z=8
9x+3y+z=6
16x+4y+z=2

Answers

Answer 1

9514 1404 393

Answer:

  (x, y, z) = (-1, 3, 6)

Step-by-step explanation:

The augmented matrix for the system is ...

  [tex]\left[\begin{array}{ccc|c}4&-4&4&8\\9&3&1&6\\16&4&1&2\end{array}\right][/tex]

Your graphing or scientific calculator can tell you the solution to this system is ...

  (x, y, z) = (-1, 3, 6)

__

If you want to solve this by hand, it can work well to divide the first equation by 4 to get ...

  x -y +z = 2

This can be subtracted from the other two equations to eliminate z.

  (9x +3y +z) -(x -y +z) = (6) -(2)  ⇒  8x +4y = 4

  (16x +4y +z) -(x -y +z) = (2) -(2)  ⇒  15x +5y = 0

These two equations can be reduced to standard form:

2x +y = 13x +y = 0

Subtracting the first equation from the second, we have ...

  (3x +y) -(2x +y) = (0) -(1)  ⇒  x = -1

Substituting into the first gives y:

  2(-1) +y = 1

  y = 3 . . . . . . . add 2

Then we can find z from the reduced first equation above:

  z = 2 -x +y = 2 -(-1) +3 = 6

Then the solution is (x, y, z) = (-1, 3, 6).


Related Questions


A cylinder has a radius of 7 meters. Its volume is 3,077.2 cubic
meters. What is the height of the cylinder?

Answers

Answer:

19.99cm

Step-by-step explanation:

[tex]\pi r^{2}h = 3077.2\\[/tex]

plug in 7 for r and you get:

49pi x h = 3077.2

h = 19.99m

angles A and B together make up a straight line the measure of angle a is 5x-1 The measure of angle B is 6+2x find the value of X

PLEASE HELP SOON

Answers

Answer

16x-2 hope this helps love thx

what are plane shapes

Answers

Answer: A closed, two-dimensional or flat figure

Step-by-step explanation:

Answer:

Different plane shapes have different attributes, such as the numbers of sides or corners. There are many kinds of plane shapes, but these are the most known squares, rectangles, circles, triangles, and octagons.

Step-by-step explanation:

When is subtraction always the first operation done in an expression? a. When it is the first operation in an expression, from left to right. b. When it follows addition in an expression. c. When it is in parentheses in an expression. d.Never. 1.

Answers

Answer:

Naruto usamaki is the greatest hokagey in the leaf village

Step-by-step explanation:

I took the test on edge

Erica’s parents gave her $500 for her high school graduation. She put the money into a savings account that earned 7.5% annual interest. She left the money in the account for nine months before she withdrew it. How much interest did the account earn if interest is paid monthly If she would have left the money in the account for another nine months before withdrawing, how much interest would the account have earned?

Answers

Answer:

$28.84

Step-by-step explanation:

That's for the first one that I found, the two other problems I don't know yet.

How many groups of 3/4 are in each of the following questions?
11/4
Enter answer as a fraction.

Answers

Answer:

12 1/3

Step-by-step exp

First, you need to add up 11/4 and

6 1/2

11/ 4 + 6 1/2 = 11/4 + 13/2 = 37 / 4

To find how many 3/4 we have in 37/4, we simply dividw 37/4 by 3/4

37/4 ÷ 3/4

= 37/4 × 4/3 (4 will cancel out 4)

= 37/3

=12 1/3

Contemporain management

Answers

Answer:

This term denotes the modern techniques to administrating people in business organizations, government bodies, or non-profit organizations. The "contemporary" indicate the relation to the present and up-to-date trends in the sphere of management. It means that the person who is involved in contemporary management should be aware of the recent variations of the management theory and implement the changes in their organizations. Modern managers should be resilient and adaptive so that they are ready to incorporate the newest developments in practice.

Step-by-step explanation:

Other than that I don't know what you are asking for.

A line passes through (-6, 10) and (4, -10). What is the slope?

Answers

m= -2 , hope this help you <3

48 is 16 2/3% of what number?

Answers

Answer:

288

Step-by-step explanation:

I hope this helps <3

The ratio of red to blue marbles in a bag is 3:2. If there are 20 total marbles in the bag, how many blue marbles are in the bag?

Answers

Answer:

8

Step-by-step explanation:

Let's say there are 3*x red marbles in the bag. As the ratio of red to blue is 3:2, that means that there are 2*x blue marbles in the bag. The total marbles are then

3*x+2*x= 20

= 5x

Divide both sides by 5 to get

x=4

2*x is the amount of blue marbles, and 2*x = 8

What is the answer to this question really need the answer

Answers

Answer:

A, B, D

Step-by-step explanation:

2 x 3x =6x - 2 times 9y which equals 18y+ and 2 times 18 equals 36 so 2(3x-9y+18)

NEEDED ASAP Just do numbers 1-6, 22-24, 25,26
work NEEDS to be shown and uh um I will give brainliest

Answers

Answer:

0.625                5/6=0.6250.222 (repeating)        2/9=0.222 0.432 (repeating)        16/37=0.432 -0.111 (repeating)         -1/9=-0.11110.45             27/50=0.45-0.75       -3/4=-0.75

22.   -2  21/50     .42=42/100=21/50

23.   -4/25     .16=16/100=4/25

24.  -13/20      .65=65/100=13/20

25.  31/50= 0.62

26.    7/15= 0.466 (repeating)

I hope this what you wanted:

Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits. minimum=7, maximum = 83, 6 classes ​

Answers

Answer:

-24+6=

Step-by-step explanation:

select the correct rule, then solve the equation

Complete Question

Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits. minimum=7, maximum = 83, 6 classes ​

What is the class width? (whole number)

We have that the Class Width is given as

7-19

20-32

33-45

46-58

59-71

72-84

Generally

[tex]Class\ width =\frac{83-7}{6}[/tex]

Class width =12.67

Class width =13

Hence

Lower class limit is

7,7+13=20...33,46,59,72

Upper class limit is

7+13-1=19,32,45,58,71,84

For more information on this visit

https://brainly.com/question/17871636?referrer=searchResults

What is the value of the expression?

Answers

Answer:

2/0 or infinity

Step-by-step explanation:

Evaluate the expression when x = 3 and y = 5.

1: 2xy
2: 6y divided by x
3:4y- x
4:Y(to the power of two) -7x +2

Answers

Step-by-step explanation:

x = 3 and y = 5.

1: 2xy

2 x 3 x 5

=30

2: 6y divided by x

6 x 5 / 3

30/3

=10

3:4y- x

4 x 5 -3

20-3

=17

4:Y(to the power of two) -7x +2

5^2 -7 x 3 + 2

25-7x3+2

25-21+2

25-19

=6

ill give brailest


Read the excerpt below. Which of the following statements best summarizes the main idea of the excerpt?


In 1944 Elion joined the Burroughs Wellcome Laboratories (now part of GlaxoSmithKline (a company that makes prescription medicines)). There she was first the assistant and then the colleague of Hitchings, with whom she worked for the next four decades. Elion and Hitchings developed an array (variety) of new drugs that were effective against leukemia, autoimmune disorders, urinary-tract infections, gout, malaria, and viral herpes.


Elion believed that new drugs could be developed to help people.


Elion had to work for Hitchings because she was a woman.


Elion worked hard for more than 40 years to earn money for retirement.


Elion and her colleagues were responsible for developing important drugs.

Answers

D Elion and her colleagues were responsible for developing important drugs

Is 9/16 a terminating or repeating decimal plz ASAP brainley

Answers

Answer:

terminating.

Step-by-step explanation:

9/16 converted to a decimal is .5625 which is terminating

Evaluate the expression P(6,1)

Answers

Answer:

p(6,3)=120

Step-by-step explanation:

In the pic is how to do it

The value of the permutation expression P(6, 1) will be 6.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Evaluate the expression P(6, 1).

We know that the formula for the permutation is given as,

ⁿPₓ = n! / (n - x)!

From the above, the value of n is 6 and the value of x is 1. Then we have

⁶P₁ = 6! / (6 - 1)!

⁶P₁ = 6! / 5!

⁶P₁ = 6 x 5! / 5!

⁶P₁ = 6

The value of the permutation expression P(6, 1) will be 6.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ5

(Giving brainliest to correct answer)
Need quick
28 POINTS ANSWER RIGHT

Congruence

Answers

Answer:

BE =DE

BEC=DEC

AEB AED

Step-by-step explanation:

not that hard lol

17% of what number is 51

Answers

Answer:

300

Step-by-step explanation:

Please I need help like now

Answers

Answer:

it's is d

Step-by-step explanation:

seening this info

for every 2/3 of cold water there is 1/2 of vegetable Oil

to make this answer complte if if we add a another cup of water the amount that is requared  and since were adding 1/2 of oil which is 2/3 of water need adding 2/3+2/3=4/3

Hence 4/3 or D is right

Let y be the number of dollars that Jon has and let x be the number of dollars Steve has. The graph shows the relationship between how much money they each have, as Jon pays Steve

Answers

The [tex]y[/tex] and [tex]x[/tex] axes in the above graph are compared to how much money Jon and Steve have, respectively. Thus, [tex]y=6+x[/tex] is the pictorial representation.

What are type and graph?

A graph is referred to as a mathematical construct that connects a collection of points to express a certain function. A pairwise link between the items is established using it. The lines that link the graph's vertices (also known as nodes) are its vertices (lines).

What purposes do graphs serve?

A common technique for graphically showing data linkages is the graph. Although takes up less space, a graph accomplishes the goal of conveying which is either too many more and complicated to be completely stated in the words.

To know more about graph visit:

https://brainly.com/question/17267403

#SPJ1

A chocolate chip cookie recipe calls for 2 cups of chocolate chips for every 3 3/4
cups of flour. How much flour would you use if you only had 1 cup of chocolate
chips?

Answers

9514 1404 393

Answer:

  1 7/8 cups flour

Step-by-step explanation:

Half the quantity of chocolate chips will call for half the quantity of flour:

  (3 3/4 cups)/2 = (15/4 cups)/2 = 15/8 cups = 1 7/8 cups of flour

Solve the Equation
-x+8+3x=x-6

x=-18
x=-14
x=2
x=4​

Answers

Answer:

x= -14

Step-by-step explanation:

-x+8+3x=x-6

2x+8=x-6

2x-x=-6-8

x= -14

The value of x in the equation is -14

How to solve the equation?

We have:

-x+8+3x=x-6

Collect like terms

3x - x - x = -6 - 8

Evaluate the like terms

x = -14

Hence, the value of x in the equation is -14

Read more about equations at:

https://brainly.com/question/2972832

#SPJ9

Suppose that the functions q and r are defined as follows.
q(x) = -x-1
r(x) = 2x² – 2
Find the following.
(q*r)(-5) =
(r*q) (-5) =​

Answers

Step-by-step explanation:

r(-5) = 2*25 - 2 = 48

Q(-5) = 5 - 1 = 4

If two parents, one with brown eyes (a dominant trait) and the other with blue eyes (the recessive trait) produce one twin boy with blue eyes, what is the probability that a fraternal twin will transmit the blue eye allele to his or her offspring

Answers

Answer:

50 percent

Step-by-step explanation:

It is given that one of the parent with a dominant trait have brown eyes and the other parent with a recessive trait has blue eyes. They produce a twin boy with eyes that is blue in color. So the probability of the fraternal twin to transmit his allele of blue eye to his or her offspring is 50 percent.

And also the probability of the offspring to pass the allele on to his or her offspring is 50 %.

The product rule is used : 0.5 x 0.5 = 0.25 or 25%.

Solve for x: 24x + 12 = 16

Answers

Answer:

x=1/6 or x=0.1666666667

Step-by-step explanation:

PLEASE HELP ME
a store sells two kinds of candles, scented and unscented. The scented candles burn 3/10 inch in 1/5 hour. The unscented candles burn 4/6 inch in 1/3 hour. it's due in 10 mins​

Answers

the unscented candles burn faster at a rate of (1/3) inches/ hour

Step-by-step explanation:

scented candles:

(1/12) / (20/60) = 1/4 inches/ hour

unscented candles:

(1/6) / (30/ 60) = 1/3 inches/ hour

hope it helps!

What is the area of the region bounded by the lines x= 1 and y= 0 and the curve y=xe^x^2?

Answers

Answer:

A = 0.859

Step-by-step explanation:

We want to find the area of the region bounded by the lines x = 1 and y = 0 and the curve y = xe^(x²).

At y = 0, let's find x;

0 = xe^(x²)

Solving this leads to no solution because x is infinity. Thus we can say lower bound is x = 0.

So our upper band is x = 1

Thus,lets find the area;

A = ∫xe(x²) dx between 1 and 0

A = (e^(x²))/2 between 1 and 0

A = ((e¹)/2) - (e^(0))/2)

A = 1.359 - 0.5

A = 0.859

Alaina went to the pet store to buy fish for her new 14-gallon fish tank. Each large fish costs $8 and requires 2 gallons
of water. Each small fish costs $3 and requires 0.5 gallon of water. She has $70 to spend on fish at the pet store. Circle
the combination of large and small fish can Alaina purchase for her fish tank?

Answers

Answer:

Small fish= 7

Big fish= 21/4 (so she'll get 5 big fish)

Step-by-step explanation:

With the problem, there are two equations, one for the cost, and one for the amount of water. For the first equation, Alaina can spend 70 dollars and the fish cost 8 and 3 dollars so the equation is 70=8b+4s (s for small and b for big). Then for the second equation there are 14 available gallons and the fish require 2 and .5 gallons so 14=2b+0.5s. Then you just solve the system of equations.

Other Questions
PLEASE HELP ME Factor the quadratic equation x2 + 2x 15 into the following format: (x + a) (x -b) Many People Suffer from ______ as a result of the nuclear tests carried out in the Pacific in the 1940s and 1950s. Many people suffer from A. exotic diseases B. plankton overgrowth C. genetic abnormalities D. biodiversity All you need the photo what is the slope of the line please help khan academy?? g What amounts of 45% pure silver and 50% pure silver should be mixed to obtain 14 grams of 46% pure silver Why was the American revolution a true revolution? I thought of a 2-digit number. It's a multiple of 9 and the sum of its digits is five times smaller than the number itself. What is my number? Select all answers that would be classified as umbrella topics(select all that apply)Marine lifeHamlets madnessCellphonesCharitiesTo Kill a Mockingbird (the book)McDonnell Douglas F/A-18 Hornet (combat jet) Which highlighted word is an adjective? We LOST our GREY STAPLER. A. lost B. greyC. stapler Please help its so important 1. How does the author characterize theUnited States position in the globaleconomy compared to its past position? what is the slope of this line the ratio of the measures of the side lengths of a quadrilateral is 2:3:5:4. the perimeter is 154 feet. find the length of the shortest side. L. Han ran 10 meters in 3 seconds, Priya ran 10 meters in 4 seconds, a. Who ran faster? Explain how you know, can someone please help me. I need help on this with solutions please Which of the following is an example of a green computing Which power is specifically given to the president by the Constitution? A. To appoint Senators B. To command the army. C. To appoint Representatives D. To tax and spend Solve the following formula for the specified variable. B=1/4m(r+k) for r What goods were traded across the Indian Ocean Trade Network?