1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erastovalidia [21]
1 year ago
14

Find x and y. x - y = 2 3x - y = 12​

Mathematics
1 answer:
omeli [17]1 year ago
8 0

the answer is

X=5

y=3

hope you like it

You might be interested in
There is an alien machine which produces seven aliens every two seconds. At this rate how many aliens will produces in one hour?
lyudmila [28]
Well, there are 60 minutes in 1 hour, and there are 60 seconds in 1 minute, so in 60 minutes, there are 60 * 60 seconds, or 3600 seconds in 60 minutes, or 1 hour, therefore, in 1 hour there are 3600 seconds.

the machine makes 7 aliens in 2 seconds, how many will it make in 3600 seconds?

\bf \begin{array}{ccll}
aliens&seconds\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
7&2\\
a&3600
\end{array}\implies \cfrac{7}{a}=\cfrac{2}{3600}\implies \cfrac{7\cdot 3600}{2}=a

that many.
3 0
3 years ago
Read 2 more answers
Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum. f(x,y)=4x2 2y2; 3x
nevsk [136]

For given f(x, y) the extremum: (12, 24) which is the minimum.

For given question,

We have been given a function f(x) = 4x² + 2y² under the constraint 3x+3y= 108

We use the constraint to build the constraint function,

g(x, y) = 3x + 3y

We then take all the partial derivatives which will be needed for the Lagrange multiplier equations:

f_x=8x

f_y=4y

g_x=3

g_y=3

Setting up the Lagrange multiplier equations:

f_x=\lambda g_x

⇒ 8x = 3λ                                        .....................(1)

f_y=\lambda g_y

⇒ 4y = 3λ                                         ......................(2)

constraint: 3x + 3y = 108                .......................(3)

Taking (1) / (2), (assuming λ ≠ 0)

⇒ 8x/4y = 1

⇒ 2x = y

Substitute this value of y in equation (3),

⇒ 3x + 3y = 108

⇒ 3x + 3(2x) = 108

⇒ 3x + 6x = 108

⇒ 9x = 108

⇒ x = 12

⇒ y = 2 × 12

⇒ y = 24

So, the saddle point (critical point) is (12, 24)

Now we find the value of f(12, 24)

⇒ f(12, 24) = 4(12)² + 2(24)²

⇒ f(12, 24) = 576 + 1152

⇒ f(12, 24) = 1728                             ................(1)

Consider point (18,18)

At this point the value of function f(x, y) is,

⇒ f(18, 18) = 4(18)² + 2(18)²

⇒ f(18, 18) = 1296 + 648

⇒ f(18, 18) = 1944                            ..............(2)

From (1) and (2),

1728 < 1944

This means, given extremum (12, 24) is minimum.

Therefore, for given f(x, y) the extremum: (12, 24) which is the minimum.

Learn more about the extremum here:

brainly.com/question/17227640

#SPJ4

6 0
1 year ago
A bowling alley provides bowling balls with weights of 11, 12, 13, 14 pounds. This information is shown in the table along with
Anarel [89]

Answer:1/6                                                                                                                100% Correct

5 0
3 years ago
Ben bowled 124 and 188 in his first two games. What must he bowl in his third game to have an average of at least 160​?
Svetlanka [38]

Answer:

x ≥ 168

Step-by-step explanation:

(124 + 188 + x) / 3 ≥ 160 =>  312 + x ≥ 480 => x ≥ 480 - 312 ≥ 168

x ≥ 168

God with you!!!

3 0
3 years ago
Please help with my math!!!, &lt;3
AlekseyPX

¯\_(•_•)_/¯                              .................................................................................................................................                                            

6 0
2 years ago
Other questions:
  • Round 35.45 to the nearest whole number
    13·2 answers
  • 12% of children are nearsighted, but this condition often is not detected until they go to kindergarten. A school district tests
    13·1 answer
  • Find the slope of the line using (4,-4) (8,-1) (0,-7) (-4,-10)
    5·2 answers
  • Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with
    5·1 answer
  • you did 150 J of work lifting a 120 N backpack. how much did the backpack weigh in pounds?(hint:there are 4.448 N in one pound)
    13·1 answer
  • 2x+x+8=3x-2<br> Is this Infinitely Many Solution<br> One Solution <br> Or No Solution
    15·1 answer
  • Write 0.851 as a fraction in simplest form.
    14·1 answer
  • Point M is the midpoint of AB. If the coordinates of point Mare (2, 8) and the coordinates
    10·1 answer
  • Pls explain the answer.
    12·1 answer
  • Students reported volunteering at the animal shelter during the last 6 months for 25, 36, 31, and 32 hours. What is the mean abs
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!