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

Please help I’m struggling please

Answers

3x3x3=27
27+27=54
54 cubic centimetres
:)

PLS ANSWER QUICK, HELP

Answers

Answer:

6 inches of paper:)!

Step-by-step explanation:

if a shape called rectangle and had length of 15 and breath of 10 what would be the perimeter?​

Answers

Answer:

50

Step-by-step explanation:

p=2(l+w)

2(10+15)

50

Find the equation (in terms of x ) of the line through the points ( − 5 , 4 ) and ( 4 , 0 ) . Express your answer in slope-intercept form

Answers

Answer:

Equation = 4x + 9y = 16

Step-by-step explanation:

co-ordinate = (-5.4) & (4,0)

slope(m) = (y² - y¹) / (x² - x¹)

slope(m) = (0-4) / (4+5)

slope(m) = -4 / 9

Equation,

y = mx + c

y - 0 = -4/9 (x - 4)

9y = -4x + 16

4x + 9y = 16

Graph the parabola.
y=-3x2 +6
PLEASE ANSWER quickly

Answers

Answer:

y = 12

Step-by-step explanation:

y = 3x2+6

   = 6+6

   = 12

y = 12

please help me asap!!

Answers

Answer:

option a. SAS

......................

Help me please (show work)

Answers

9514 1404 393

Answer:

  14.  53.1°

  16.  253.7°

Step-by-step explanation:

14. The measure of angle L can be found from the cosine relation:

  Cos = Adjacent/Hypotenuse

  cos(L) = 9/15 = 3/5

  L = arccos(3/5) = 53.1° . . . arc MK

__

16. Arc MK is half of arc JK, so that arc is 106.3°. The long arc JPK is the difference between 360° and the measure of the short arc JK.

  360° -106.3° = 253.7° . . . arc JPK

find the image of U'( -8 , 1) after a translation along < 2 , 0 > and a reflection in the x axis
U"( -6 , -1)
U"(6 , 1)
U"(6 , -1)
U"(-1 , 6)

Answers

Given:

The point is U'(-8,1).

It is translated along <2,0> and reflected across the x-axis.

To find:

The image of U'.

Solution:

The given point is U'(-8,1).

It is translated along <2,0> . So, the rule of translation is:

[tex](x,y)\to (x+2,y+0)[/tex]

[tex]U'(-8,1)\to U_1(-8+2,1+0)[/tex]

[tex]U'(-8,1)\to U_1(-6,1)[/tex]

Then, it is reflected across the x-axis. So, the rule of reflection is:

[tex](x,y)\to (x,-y)[/tex]

[tex]U_1(-6,1)\to U''(-6,-1)[/tex]

The image of U'( -8 , 1) is U''(-6,-1).

Therefore, the correct option is A.

Mark rows a boat 8 miles an hour in calm water. When the rate of a river's current is 3 mph, it takes Mark 2 hours longer to row a given distance upstream than to travel the same distance downstream. How long will it take him to row downstream? How many miles will he row in total? Time: Distance:

Answers

Answer:

utprirtdufyfohxhcf2667566596 y _&÷&8€5697= 34 minutos y el no te

The hanger image below represents a balanced equation. Write an equation to represent the image. PLEASE HELP ILL MARK U AS BRAINLIST OR WHATEVER o(*°▽°*)o

Answers

Answer:

i think its 3 in all the boxes but trying is better than not ig wait no nvm

Caroline has a unique pet chimpanzee that is relatively likely to have twins. Each pregnancy is independent, and
Caroline's chimpanzee has a 60% chance of having 1 baby and a 40% chance of having 2 babies each
pregnancy
If X is a random variable that represents the total number of chimpanzee babies if Caroline's chimpanzee gets
pregnant twice, drag the bars to graph the probability distribution for all possible values of X.

Answers

Answer: 2=.36, 3=.48, 4=.16

Step-by-step explanation:

If we let "S" represent 1 baby and "D" represent 2 babies, the sample space for the chimpanzee's 2 pregnancies is {SS, SD, DS, DD}.

We can find the probability of each possible outcome by multiplying the probability of the independent events leading to that outcome.

Outcomes:. Probability:

SS. .60 x .60 = .36

SD. .60 x .40 = .24

DS. .40 x .60 = .24

DD. .40x .40 =.16

Total. 1.00

Lastly group the similar outcomes. SD+DS= .48

what are the real solutions to the equation 5x2 + 29x + 20 = 0?

Answers

Answer:Solutions are: x = -5, x = -4/5.

Step-by-step explanation:

Answer: -30/29

Step-by-step explanation: Let's solve your equation step-by-step.

(5)(2)+29x+20=0

Step 1: Simplify both sides of the equation.

(5)(2)+29x+20=0

10+29x+20=0

(29x)+(10+20)=0(Combine Like Terms)

29x+30=0

29x+30=0

Step 2: Subtract 30 from both sides.

29x+30−30=0−30

29x=−30

Step 3: Divide both sides by 29.

29x/29=-30/29

20 POINTS FOR ANSWERING ALL PARTS

Answers

Answer:

wont let me download

Step-by-step explanation:

Determine the x- and y-
intercepts of 2x - 5y = -10.
O (-5,0) and (0, 2)
(2.0) and (10,0)
O (5.0) and (0,5)

Answers

Answer and working out attached, hope this helps

Find the area of a circle with radius, r = 41cm. Give your answer rounded to 3 SF.

i dont know how to work this out :(

Answers

Answer:

5283.143 cm^2

Step-by-step explanation:

Area =πr^2

22/7*41*41

=5283.143cm^2

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

a) the cost for each person is not always the same

b) the train appears to go the same distance every minute

Predicted distance traveled in 10 minutes:

30 km

Local versus absolute extrema. If you recall from single-variable calculus (calculus I), if a function has only one critical point, and that critical point is a local maximum (or say local minimum), then that critical point is the global/absolute maximum (or say global/absolute minnimum). This fails spectacularly in higher dimensions (and thereís a famous example of a mistake in a mathematical physics paper because this fact was not properly appreciated.) You will compute a simple example in this problem. Let f(x; y) = e 3x + y 3 3yex . (a) Find all critical points for this function; in so doing you will see there is only one. (b) Verify this critical point is a local minimum. (c) Show this is not the absolute minimum by Önding values of f(x; y) that are lower than the value at this critical point. We suggest looking at values f(0; y) for suitably chosen y

Answers

Answer:

Step-by-step explanation:

Given that:

a)

[tex]f(x,y) = e^{3x} + y^3 - 3ye^x \\ \\ \implies \dfrac{\partial f}{\partial x} = 0 = 3e^{3x} -3y e^x = 0 \\ \\ e^{2x}= y \\ \\ \\ \implies \dfrac{\partial f}{\partial y } = 0 = 3y^2 -3e^x = 0 \\ \\ y^2 = e^x[/tex]

[tex]\text{Now; to determine the critical point:}[/tex]- [tex]f_x = 0 ; \ \ \ \ \ f_y =0[/tex]

[tex]\implies e^{2x} = y^4 = y \\ \\ \implies y = 0 \& y =1 \\ \\ since y \ne 0 , \ \ y = 1, \ \ x= 0\\\text{Hence, the only possible critical point= }(0,1)[/tex]

b)

[tex]\delta = f_xx, s = f_{xy}, t = f_{yy} \\ \\ . \ \ \ \ \ \ \ \ D = rt-s^2 \\ \\ i) Suppose D >0 ,\ \ \ r> 0 \ \text{then f is minima} \\ \\ ii) Suppose \ D >0 ,\ \ \ r< 0 \ \text{then f is mixima} \\ \\ iii) \text{Suppose D} < 0 \text{, then f is a saddle point} \\ \\ iv) Suppose \ D = 0 \ \ No \ conclusion[/tex]

[tex]Thus \ at (0,1) \\ \\ \delta = f_{xx} = ge^{3x}\implies \delta (0,1) = 6 \\ \\ S = f_{xy} = -3e^x \\ \\ \implies S_{(0,1)} = -3 \\ \\ t = f_{yy} = 6y \\ \\[/tex]

[tex]\implies t_{0,1} = 6[/tex]

[tex]Now; D = rt - s^2 \\ \\ = (6)(6) -(-3)^2[/tex]

[tex]= 36 - 9 \\ \\ = 27 > 0 \\ \\ r>0[/tex]

[tex]\text{Hence, the critical point} \ (0,1) \ \text{appears to be the local minima}[/tex]

c)

[tex]\text{Suppose we chose x = 0 and y = -3.4} \\ \\ \text{Then, we have:} \\ \\ f(0,-3.4) = 1+ (-3.4)^3 + 3(3.4) \\ \\ = -28.104 < -1[/tex]

[tex]\text{However, if f (0,1) = 1 +1 -3 = -1 \\ \\ f(0,-3.4) = -28.104} < -1} \\ \\ \text{This explains that} -1 \text{is not an absolute minimum value of f(x,y)}[/tex]

A bag contains a total of 100 black and white marbles. Without looking a marble is chosen, recorded, and placed back in the bag. The student records 8 black marbles and 2 white marbles. Predict the number of black marbles in the bag.​

Answers

80 black and 20 white

The expression 125 + 4n can be used to find the total price for n students to take a field trip to the aquarium. Determine the cost for 55 students to visit the aquarium.



Hurry plz

Answers

Answer:

125+ 4(55)

Step-by-step explanation:

345 is the answer

give brainliest if right

15 FT
-
12 FT
16 FT
9 FT
What is the Volume:
What is the Total Surface Area:

Answers

Answer:

28 ft

Step-by-step explanation:

i used my fingers

5(a-b), if a= -4, b =-2

Answers

the answer is -10
just input the numbers where the variables are so your question turns into 5(-4 - -2)
hope this helps!!

Answer:

-10

Step-by-step explanation:

a= -4

b = -2

5(a-b)

5( -4 - (-2))

5( -4 + 2)

5(-2)

-10

Which is the solution to the equation
below?
-3=t- 12
A-9
C 9
B 4
D 15

Answers

ANSWER:
9 (C)

hope this helps

Mischa wrote the quadratic equation 0=-x^2+4x-7 in standard form. If a = -1, what is the value of c in her equation?

Ac=-7 (correct answer on edg)

B.c=-1

C.c=4

D.c=7

Answers

The correct answer
C= -7

write 98 as a product of its prime factor no links or photo or I will report you​

Answers

the prime factors of 98 are written as 2 x 7 x 7 or 2 x 72,

A couple is trying to save for down payment on their first house. They wish to have $25,000 in 8 years. How much should they invest monthly in an account that pays 6.1% compounded annually

Answers

Answer:

I this 500$

Step-by-step explanation:

Solve for x in -14x⁴ - 8x³ = 32​

Answers

Answer:

No solutions

Step-by-step explanation:

There can be no solutions to your question

If m∠DEF = (5x−8)°. Which equation would you use to find the value of x?
5x−8=20


5x-8=360


5x-8=90


5x-8=180

Answers

Answer:

5x-8=90

Step-by-step explanation:

Thale’s Theorem

5x-8=90

Which statement about the figure below is true?

Answers

Correct answer:
My best guess would be

m<3 + m<5 = 180°

What is the constant of proportionality


will choose braij

Answers

The constant proportion of the following data is 5.

The constant proportion of the following data is 5.Thank hope it helps

please help me with this :D

Answers

Answer:

b=24

Step-by-step explanation:

the sides are equal to each other so

b+24=2b

24+24=2 times 24

48=48

so b=24

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