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
harina [27]
3 years ago
12

Solve this equation by using the substitution method. Make sure you show ALL your work.

Mathematics
1 answer:
djverab [1.8K]3 years ago
4 0

Step-by-step explanation:

substitute for y

x+3+4 = -6x

x+ 7 = -6x

7 = -7x

-1 = x

y = -1+3

y = 2

You might be interested in
44cm is rounded to nearest whole cm. Write down the maximum possible length it could have been.
sesenic [268]

Answer:

44.49 repeated

Step-by-step explanation:

Sorry for the wait

8 0
3 years ago
Find the sum of the geometric sequence. (7 points) 4/3, 8/3, 16/3, 32/3, 64/3
Arisa [49]
The sum is 41.22 because first you turn all of the fractions into decimals and then it’s easier to add them all together all at once.
7 0
3 years ago
A pair of shoes is on sale for $66.00. This is 75% of the original price. What was the original price?
sergejj [24]

Answer:

$88.00

Step-by-step explanation:

66=3/4x

66/.75=66*4/3=88

3 0
2 years ago
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
2 years ago
In the diagram below what is the approximate length of the minor arc XY
sveta [45]

C = 2pi r= 2 (3.14) (27) = 169.56

Let XY = x

169.56 / 360 = x / 60

360x = 169.56 * 60

360x = 10173.60

x = 28.26

x = 28.3

Answer is C. 28.3 cm

5 0
3 years ago
Read 2 more answers
Other questions:
  • Pentagon DEFGH is congruent to pentagon QRSTU.
    5·1 answer
  • Take my points........
    11·2 answers
  • Algebraic expression for <br> four plus twice a number equals six
    15·2 answers
  • 823 rounded to the nearest ten
    11·1 answer
  • Simplify<br><br>n-3 n-2/n^-6n^5<br><br>A) 1/n^-4<br>B)1/n^4<br>C)n^-6<br>D)n^4
    10·1 answer
  • Find the product and write in lowest term. Give me an integer or simplified fraction.<br> 7/54×27/35
    5·1 answer
  • How many places do you need to move the decimal to the left to write the number below in scientific notation? 60000000000
    5·1 answer
  • How many solutions does 17.75x + 24 = 18.95x + 18 have?
    15·1 answer
  • Could someone please help me with the surface area of this prism
    5·1 answer
  • How many solutions does this system of equations have y=2x y=x^2+2
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!