This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint.
f(x, y) = xy;
4x² + y² = 8
maximum value ______
maximum value ______

Answer:

x = -3

Step-by-step explanation:

5 + 3(x - 1) = 3x + 14 - (x +15)

5 + ( 3x - 3 ) = 3x + 14 - x -15

3x + 2 = 2x - 1

x + 3 = 0

x = -3

Answer:

x = -3

Step-by-step explanation:

To find the solution to the equation, we would have to find a value of x that would satisfy the equation.

5 + 3(x - 1) = 3x + 14 - (x + 15)

Distribute the 3 on the left side and the - on the right side.

5 + 3x - 3 = 3x + 14 - x - 15

Combine like terms.

2 + 3x = 2x - 1

Subtract 2 from both sides.

3x = 2x - 3

Subtract 2x from both sides.

x = -3

So the solution to the equation would be x = -3.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

15x+50=300

Step-by-step explanation:

Answer:

15x+50=300

Step-by-step explanation:

Answer:

11 hours

Step-by-step explanation:

if you multiply 11 by 80, you get 880. 880+35=915

I think it’s 5

Step-by-step explanation:

Because 1 banana is 0.75 cents and 75+75=150 so it’s probably 5

Answer:

Angles on a straight line add up to 180°

a = 180° - 29°

a = 151°

Answer:

11160

Step-by-step explanation:

1860x6. :) its that simple

Answer:

x=6

Step-by-step explanation:

3x-6=12

   +6 +6

3x=18

3x/3= 18/3

x=6

Hope this helps!

Answer:

x=6

Steps

3x - 6 = 12

add 6 to both sides

3x - 6 + 6 = 12 + 6

simplify

3x = 18

Divide both sides by 3

3x/3 = 18/3

simplify

x=6

Answer:

2

Step-by-step explanation:

3 1/5 x 5/8 = ?

3 1/5 = 16/5

16/5 x 5/8 = 2

Answer:

2

Step-by-step explanation:

it 2 because you simplify it with 80 and 40 and you multiple 16×5 and 5×8 = 80/40 you simplify it u get 2

Answer:

The graph of f is shifted 1 unit down to create the graph of g.

Step-by-step explanation:

i took the test earlier and got this answer

The linear parent function f(x) = x is reflected over the x-axis to create the grap of g(x) = - f(x).

There are four different kinds of translation: stretching, shrinking, rotating, and shifting.

When shifting, the entire graph is moved in the XY direction. When expanding and contracting a graph, we do so by a factor of k. When rotating a graph, we do so either clockwise or counterclockwise.

We know that when we change the sign of x in a function it is rotated about

the y-axis and when we change the sign of y in a function it is rotated about the x-axis.

f(x) = y = x and g(x) = - f(x) = - y.

learn more about transformations here :

https://brainly.com/question/15554618

#SPJ2

Answer:

y=0x+6

Step-by-step explanation:

[tex]\text {Hi! Let's Solve this Equation!}[/tex]

[tex]\text {\underline {The First Step is to Simplify}}[/tex]

[tex]\text {-x+-3+3/4x+5=0}\\\text {(-x+3/4x)+(-3+5)=0}[/tex]

[tex]\text {Your New Problem Is: -1/4x+2=0}[/tex]

[tex]\text {\underline {The Next Step Is To Subtract 2}}[/tex]

[tex]\text {-1/4x+2-2=0-2}[/tex]

[tex]\text {Your New Problem Is: -1/4x=-2}[/tex]

[tex]\text {\underline {The Final Step is to Multiply 4/-1}}[/tex]

[tex]\text {4/-1*-1/4x=4/-1*-2}[/tex]

[tex]\text {Your Answer Would Be:}[/tex]

[tex]\fbox {x=8}[/tex]

[tex]\text {Best of Luck!}[/tex]

[tex] - (x + 3) + \frac{3}{4x} + 5 = 0[/tex]

[tex]⇒ - x - 3 + \frac{3}{4x} + 5 = 0[/tex]

[tex]⇒ - x + \frac{3}{4x} = - 5 + 3[/tex]

[tex]⇒ \frac{ - 4 {x}^{2} + 3 }{4x} = - 2[/tex]

[tex]⇒ - 4 {x}^{2} + 3 = - 8x[/tex]

[tex]⇒ - 4 {x}^{2} + 8x + 3 = 0[/tex]

[tex]⇒4 {x}^{2} - 8x - 3 = 0[/tex]

[tex]⇒x = \frac{ - ( - 8) \pm\sqrt{( - 8)^{2} - 4 \times 4 \times ( - 3) } }{2 \times 4} [/tex]

[tex]⇒x = \frac{8 \pm \sqrt{64 + 48} }{8} [/tex]

[tex]⇒x = \frac{8 \pm \sqrt{112} }{8} [/tex]

[tex]⇒ x_{1} = \frac{8 + \sqrt{112} }{8} \: \: ,\: \: x_{2} = \frac{8 - \sqrt{112} }{8} [/tex]

[tex]⇒ x_{1} = \frac{8 + 10.58}{8} \: \: , \: \: x_{2} = \frac{8 - 10.58}{8} [/tex]

[tex]⇒ x_{1} = \frac{18.58}{8} \: \: , \: \: x_{2} = \frac{ - 2.58}{8} [/tex]

[tex]⇒ x_{1} = 2.32\: \: , \: \: x_{2} = - 0.32[/tex]

[tex] \sf \red{ \therefore{x_{1} = 2.32\: \: and\: \: x_{2} = - 0.32}}[/tex]

Answer:

the correct answer 26 cm

Answer:

is 8/5 = 1.6

Step-by-step explanation:

you have to find the same result of the division of 16 / 10 = 1.6

Answer:

35

Step-by-step explanation:

x + 2x=3x        65+40=105

105/3x=35

Answer: Each can of soda costed $1.50

Step-by-step explanation:

The total cost was $8

Xavier's bought 4 snacks; each $1.25

4 x 1.25 = $5

How much for 2 cans of soda?

Well we know how much the snacks were ($5) and the total cost was $8, so the 2 cans costed $3 because 5 + 3 = 8. But how much did each can cost? Each can costed $1.50 because if the 2 cans costed $3, and we wanted to know how much 2 costed, we would have to divide 3 by 2 which is 1.50. So each can costed $1.50

Answer:

x=9

Step-by-step explanation:

2(x−4)+8=18

(2)(x)+(2)(−4)+8=18(Distribute)

2x+−8+8=18

(2x)+(−8+8)=18(Combine Like Terms)

2x=18

2x=18

Step 2: Divide both sides by 2.

2x÷2=18÷2

x=9

HOPE THIS HELPS!

Answer:

(0, -2)

Step-by-step explanation:

The slope equation is written as y = mx + b where m is the slope and b is the y-intercept. In this equation the slope, which is m, is -2/3 and the y-intercept is -2, which is the value of b. So the y-intercept on the graph would be found at point (0, -2)

Let y = mx +b, where m is the slope of the equation and b is the y-intercept.

So from the equation [tex]y=-\frac{2}{3}x-2[/tex] You'd find the y-intercept at (0,2). Alternative way, you can find the y-intercept by substituting x = 0 so -2x/3 will be 0 because x = 0 and -2x(0)/3 = 0-2 = -2.

So from the y = mx + b, you would find the y-intercept at (0,b)

Answer:

the answer is c 11.26 just subtract from the actual number

First we must write down the information given

1. The store is selling 4 bags of bananas

2. 4 bags of bananas cost 22.52

3. We need to find the cost of 2 bags of bananas

If we know that 4 bags of bananas cost 22.52, and we know that we need 2 bags. We also know that 4 / 2 = 2

So, what we need to do is divide the cost of 4 bags by 2.

22.52 / 2 = 11.26

Which means, that the cost of 2 bags is C.

Answer:

$9.60

Explanation:

4 divided by 5= 0.8

0.8 times 12= 9.6

Answer:

I can probably help, but there is no image or equation.

Answer:

I can try give me a problem

Step-by-step explanation:

Answer:

1.2208898

Step-by-step explanation:

Answer:

Your answer is Number 1

Step-by-step explanation:

1.2208898x10 squared 7

Answer:

The correct answer would be 23.7755

Step-by-step explanation:

This answer is not rounded yet, so go ahead and do that. I hope this helps you:)

Answer:

12/24

Step-by-step explanation:

Answer:

20.5730406

Step-by-step explanation:

Answer:

3rd one

if im right may i get brainlist

Step-by-step explanation:

Answer:

90.Grams of sugar

Step-by-step explanation:

Answer:

10.48 miles per hour

Step-by-step explanation:

Answer:

Pace per mile

05 : 43.51

min : sec

Speed

0.1747 miles per minute

=

10.48 miles per hour