Use Lagrange multiplier method to find the maximum and minimum values of (, , ) = − 2 + 5 On the sphere 2 + 2 + 2 = 30

Answer:

Step-by-step explanation:

The information given is incomplete :

Answer:

x = 1/2(2083 - 3y)

y = 1/3(2083 - 2x)

Step-by-step explanation:

Let

Laptop cost = x

Earpiece cost = y

Number of laptops= 2

Number of earpiece = 3

2x + 3y = $2083

The cost per laptop :

2x = 2083 - 3y

Divide both sides by 2

x = (2083 - 3y) / 2

x = 1/2(2083 - 3y)

Or

3y = 2083 - 2x

y = (2083 - 2x) / 3

y = 1/3(2083 - 2x)

Answer:

[tex](f+g)(x) = 3x^2 - 6[/tex]

Step-by-step explanation:

[tex]f(x) = 2x^2 + 1, \ g(x) = x^2 - 7\\\\(f +g)(x) = f(x) + g(x) \\\\(f+g)(x) = 2x^2 + 1 + x^2 - 7 \\\\(f+ g)(x) = 3x^2 - 6[/tex]

Answer:

1/√2

Step-by-step explanation:

The value of sin 45 is 1/√2

Answer:

Step-by-step explanation:

This is a reading question. You have to know what all the terms mean.

B: is the first one you have to think about. All real solutions. Is that the answer, or do you have to think about it more. The key word is solutions. So that takes in A. So B is the answer.

A is the second best answer. Any solution has to be on the blue line. The blue line is the visual record of what works in B. Well, why not pick A? It is because B is more general, and it includes A.

C More than whole numbers solve this question. The line is continuous.

D There are negative solutions as well. Not the answer.

Answer:

the answer is A. All solutions that lie on h(x)

i took the test

Step-by-step explanation:

Answer:

2 StartRoot 5 EndRoot + 2 StartRoot 17 EndRoot units

Step-by-step explanation:

The perimeter of the parallelogram is expressed as

Perimeter = WX + XY + YZ + WZ

Using the distance formula;

WX = √(0-(-1))²+(4-0)²

WX = √1²+4²

WX = √17

For XY:

XY = √(-2-(0))²+(3-4)²

XY = √(-2)²+(-1)²

XY = √4+1

XY = √5

For YZ:

YZ = √(-2+3))²+(3+1)²

YZ = √(1)²+(4)²

YZ = √1+16

YZ = √17

For WZ;

WZ = √(-3+1)²+(-1-0)²

WZ = √(-2)²+(-1)²

WZ = √4+1

WZ = √5

Perimeter = √17+√5+√17+√5

Perimeter = 2√17 + 2√5 units

Answer:

B

Step-by-step explanation:

Answer:

Yes

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

When we plot (-2, -4) onto the graph, we can envision that the point is within the shaded region of the graphed line.

∴ (-2, -4) would be a solution.

ANSWER

1100010

EXPLANATION

converting 9810 to 2

The equation calculation formula for 98 base10 number to base 2 is like this below.

2|98|

2|49|0

2|24|1

2|12|0

2|6|0

2|3|0

2|1|1

2|1|1

Ans:1100010 base2

Answer:

<BAC = 36degrees

Step-by-step explanation:

Find the diagram attached

The sum of the interior angle is equal to the exterior. Hence;

<B + <C = <DAB

6x+40 + x+20 = 180 - 3x

7x+60 = 180 - 3x

7x+3x = 180 - 60

10x = 120

x = 120/10

x = 12

Get <BAC

<BAC = 180 - (180-3x)

<BAC = 180-180+3x

<BAC = 3x

<BAC = 3(12)

<BAC = 36degrees

Answer:

It should be B,  180 cm

Step-by-step explanation:

x = circumference of  circle D

18/360 = 9/x

9*360 = 18x

9*360/18 = x

x = 180

Answer:

The answer is "180".

Step-by-step explanation:

Please find the complete question in the attached file.

Let's

x = ounces solution of A

y = ounces solution of B

[tex]x + y = 180 \\\\y = 180 - x\\\\0.60x + 0.85y = 0.75(180)\\\\0.60x + 0.85y = 135\\\\[/tex]

Multiply both sides of the equation by 100 to remove the decimal points.

[tex]60x + 85y = 13500\\\\60x + 85(180 - x) = 13500\\\\60x + 15300 - 85x = 13500\\\\-25x = -1800\\\\x = 72\ \ ounces\\\\y = 180 - 72 \\\\y = 108 \ \ ounces\\\\[/tex]

Answer:

1/ x = 22.5°

2/ x = 60°

Step-by-step explanation:

1/ We have: 3x + 2x + 3x = 180°

=> 8x = 180° => x = 22.5°

2/ We have: x + x + x = 3x = 180°

=> x = 60°

Answer:

1) x = 22.5

2) x = 60

Step-by-step explanation:

→ Add the angles together

1) 3x + 2x + 3x = 8x

2) x + x + x = 3x

→ Make it equal to 180

1) 8x = 180

2) 3x = 180

→ Divide both sides by 8 and 3

1) x = 22.5

2) x = 60

Answer:

(3)11

Step-by-step explanation:

We are given that

[tex](x^2-12x+35)(x^2+10x+24)=504[/tex]

We have to find the sum of positive roots of the equation.

[tex]x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504[/tex]

[tex]x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504[/tex]

[tex]x^4-2x^3-61x^2+62x+840-504=0[/tex]

[tex]x^4-2x^3-61x^2+62x+336=0[/tex]

Factor of 336

2,3,4,6,8,7,

Let x=2

[tex]2^4-2^4-61(2^2)+62(2)+336\neq0[/tex]

x=2 is not the root of equation

x=-2

[tex](-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0[/tex]

Hence x=-2 is the root of equation.

x+2 is a factor of equation.

x=3

[tex]3^4-2(3^3)-61(3^2)+62(3)+336=0[/tex]

Therefore, x=3  is the root of equation.

[tex](x+2)(x-3)(x^2-x-56)=0[/tex]

[tex](x+2)(x-3)(x^2-8x+7x-56)=0[/tex]

[tex](x+2)(x-3)(x(x-8)+7(x-8))=0[/tex]

[tex](x+2)(x-3)(x-8)(x+7)=0[/tex]

[tex]x-8=0\implies x=8[/tex]

[tex]x+7=0\implies x=-7[/tex]

Positive roots are 3 and 8

Sum of positive roots=3+8=11

Option (3) is true.

Answer:

4 is the answer to this question

Answer: (1, 8)

Step-by-step explanation:

Substitute y = 3x + 5 into the equation 2x + 3y = 26:

2x + 3(3x + 5) = 26

2x + 9x + 15 = 26

11x = 26 - 15

11x = 11

x = 1

Substitute the value of x into the equation y = 3x + 5:

y = 3(1) + 5 = 3 + 5 = 8

Answer:

Step-by-step explanation:

233 322

Answer:

C

Step-by-step explanation:

The total width is shown as 12 ft. The width of the small square is 2 ft so the width of the larger square is 12-2 = 10 ft.

Area of each square: 10 x 10 = 100

2 x 2 = 4

Total area = 109 + 4 = 104 square ft.

9514 1404 393

Answer:

  (x, y) = (-2 12/17, -51)

Step-by-step explanation:

Here is the answer to ...

  [tex]4x+\dfrac{9}{y}+11=0\\\\\dfrac{6}{y}-3x=8[/tex]

If you mean something else, then parentheses are needed.

__

Let z = 1/y. Then the equations in general form are ...

  [tex]4x+9z+11=0\\3x-6z+8=0[/tex]

The solution (cross multiplication method) is ...

  x = (9·8 -(-6)·11)/(4(-6)-3·9) = 138/-51 = -2 12/17

  z = (11·3 -8·4)/-51 = -1/51

  y = 1/z = -51

The solution is (x, y) = (-2 12/17, -51).

1cm = 2m

=> 1cm = 200cm

2.5cm = 2.5 × 200cm = 500 cm = 5m

So, the length of window is 500cm or 5m.

Answer:

Savings total for both = 24x + 24

Step-by-step explanation:

Rick has 8x to start with

Let w = the number of weeks he will save.

Savings = 8x + 3*w  

Let w = 4

Savings = 8x + 3*4

Savings = 8x + 12

Helen

Let w = the number of weeks she will save.

Savings = 16x + 3*w

Let w = 4

Savings = 16x + 12

Now we come to the question. It seems to want the total combining both of them.

Rick + Helen = 8x + 12 + 16x + 12 = 24x + 24

The only other possible answer is

Rick = 8x + 12

Helen = 16x + 12

Answer:

A.............

Step-by-step explanation:

. ..........

Answer:

C. (3,3)

Step-by-step explanation:

When These equations are both graphed the solution for these equations when they intersect is (-3,3)

Answer:

D)

y = - x + 1

y = -1/4 +2

Step-by-step explanation:

The equation of a linear graph: y = mx + b

The red graph is going down, so it would mean the m value is negative (-). This cancels options A) and C). The red graph also moves one unit up the y-axis which means the b is one (1). So the equation would be y = - x + 1.

The blue graph is also going down, so it would mean the m value is negative (-). This means it could be options B) or D). But, the blue graph also moves two units up the y-axis, which means the b is two (2).  So the equation would be y = - 1/4x + 2.

Answer:

Step-by-step explanation:

[tex]\dfrac{7}{25} =0.28=28\%\\\\\dfrac{2}{3} \approx 0.67=67\%\\\\\dfrac{3}{8} =0.375=37.5%[/tex]

[tex]\large\bold{\underline{\underline{ \: x = 5 \frac{2}{3} }}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]3x - 4 = 13[/tex]

[tex]➺ \: 3x = 13 + 4[/tex]

[tex]➺ \: 3x = 17[/tex]

[tex]➺ \: x = \frac{ 17}{3} [/tex]

[tex]➺ \: x = 5 \frac{2}{3} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]➺ \: 3x - 4 = 13[/tex]

[tex]➺ \: 3 \times 5 \frac{2}{3} - 4 = 13[/tex]

[tex]➺ \: 3 \times \frac{17}{3} - 4 = 13[/tex]

[tex]➺ \: 17 - 4 = 13[/tex]

[tex]➺ \: 13 = 13[/tex]

➺ L. H. S. = R. H. S.

Hence verified.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Answer:

775

Step-by-step explanation:

We are given two equations in which we can perform systems of equations by putting these two equations on top of each other then solving for one variable:

x+y=15

x-y=25

Here, we can cancel out the y variable and get:

2x=40

x=20

Then we can put the x variable into any of the equations to solve for y (in this case I will use the equation x+y=15 so 20+y=15

y=-5

Now, we can solve by plugging both variables into 2x^2 - y^2 :

2(20)^2 - (-5)^2

800-25 = 775

I hope this helps!

Answer:

775

Step-by-step explanation:

Hi there!

We are given the following system of equations:

x+y=15

x-y=25

and we need to find the value of 2x²-y²

First, let's find the value of x and y

Let's add the 2 equations together to clear y and solve for x (y-y=0)

2x=40

divide both sides by 2

x=20

Now substitute 20 as x into either one of the equations to solve for y

To do x-y=25 for instance,

20-y=25

subtract 20 from both sides

-y=5

multiply both sides by -1

y=-5

Now we know that x=20 and y=-5

Substitute those values into the expression (remember: y² is equal to y×y, or (y)²)

2(20)²-(-5)²

Raise to the second power

2(400)-(25)

multiply and open parenthesis

800-25

subtract

775

Hope this helps!

Answer:

its a i think

Step-by-step explanation:

Answer:

degree=3

coefficient=0.2

Answer:

D. 30°

Step-by-step explanation:

By exterior angle theorem:

x° + 70° = 100°

x° = 100° - 70°

x° = 30°

x = 30

Answer: Their present age is 12 and 16.

Step-by-step explanation:

Let the required age be 3x and 4x

so

(3x+4)/(4x+4) = 4/5

5(3x+4) = 4(4x+4)

or, 15x + 20 = 16x + 16

or, 15x - 16x = 16-20

or, -x = -4

so, x = 4

now,

3x = 3*4 = 12

4x = 4*4 = 16