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1 year ago

Which statement is true? 5 6 8 27 을 ll < - 3 8 4 8 6 6

Mathematics

1 answer:

Neko [114]1 year ago

6 0

Fractions

We are going to be checking each statement in order to find which of them are correct:

We can see that in the drawing 3/8 is smaller than 5/6. Then this statement is false.

We can see that in the drawing 5/8 is smaller than 4/6. Then this statement is false.

<h2>2/6 = 3/8 - 2/6 is equal to 3/8</h2>

We can see that in the drawing 3/8 is bigger than 2/6. Then this statement is false.

<h2>3/6 = 4/8 - 3/6 is equal to 4/8</h2>

We can see that in the drawing 4/8 is equal to 3/6. Then this statement is true.

<h2>Answer: 3/6 = 4/8</h2>

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Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. f(x,y)= e^xy; X

kotykmax [81]

Answer:

f(x,y) = $e^{xy}$ is maximum at x = 2 and y = 2 and f(2,2) = $e^{4}$

Step-by-step explanation:

Since f(x,y) = $e^{xy}$ and x³ + y³ = 16, Ф(x,y) = x³ + y³ - 16

df/dx = y $e^{xy}$ , df/dy = x $e^{xy}$ , dФ/dx = 3x² and dФ/dy = 3y²

From the method of Lagrange multipliers,

df/dx = λdΦ/dx and df/dy = λdΦ/dy

y $e^{xy}$ = 3λx² (1) and x $e^{xy}$ = 3λy² (2)

multiplying (1) by x and (2) by y, we have

xy $e^{xy}$ = 3λx³ (4) and xy $e^{xy}$ = 3λy³ (5)

So, 3λx³ = 3λy³

⇒ x = y

Substituting x = y into the constraint equation, we have

x³ + y³ = 16

x³ + x³ = 16

2x³ = 16

x³ = 16/2

x³ = 8

x = ∛8

x = 2 ⇒ y = 2, since x = y

So, f(x,y) = f(2,2) = $e^{2 X2}$ = $e^{4}$

We need to determine if this is a maximum or minimum point by considering other points that fit into the constraint equation.

Since x³ + y³ = 16 when x = 0, y is maximum when y = 0, x = maximum

So, 0³ + y³ = 16

y³ = 16

y = ∛16

Also, when y = 0, x = maximum

So, x³ + 0³ = 16

x³ = 16

x = ∛16

and f(0,∛16) = $e^{0X\sqrt[3]{16} } = e^{0} = 1$ .

Also, f(∛16, 0) = $e^{\sqrt[3]{16}X0 } = e^{0} = 1$ .

Since f(0,∛16) = f(∛16, 0) = 1 < f(2,2) = $e^{4}$

f(2,2) is a maximum point

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3 years ago

When solving systems of equations with the elimination

viktelen [127]

Step-by step explanation:

That's a great question. Look for things such as these:

x=x (infinite solution)

x=12 (one solution)

x+3 = x + 5 (no solutions)

https://youtu.be/bq5gDsEdN3Q this video has more information, copy and paste the link into your search engine.

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2 years ago

Jennifer has the scatterplot shown for her data set, where water is measured in ounces, and is trying to describe the line of be

BARSIC [14]

Answer: B. As the temperature increases, the water take increases.

Step-by-step explanation: I just took the test

8 0

2 years ago

translate this verbal expression to a algebraic expression eight more than six times a number added to one more than nine times

34kurt

I will right it sideways. you can use this strategy later on if you would like. I put (parentheses) around what is optional to include. the = to the left of the second word number is to show that the number is equal. if there are two different variables you would put a crossed out equal sign.
_______________
eight= 8 l
more than= +
six= 6
times= x
(a)number= n l
_______________
added (to)= +
_______________
one= 1 l
more than= +
= number= n l
_______________

(I tried to do parentheses)

then, you rewrite what you wrote beside the words!

(8+6n)+(1+n)

that is your equation!

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3 years ago

Find (fog)(x) and (gof)(x) f(x) = 8x-5, g(x) = 10 - 2x<br><br><br><br><br>help please

igomit [66]

Answer:

$(fog)(x) = f( \: g(x) \: ) \\ = 8(10 - 2x) - 5 \\ = 80 - 16x - 5 \\ = - 16x + 75$

$(gof)(x) = g( \: f(x) \: ) \\ = 10 - 2(8x - 5) \\ = 10 - 16x + 10 \\ = - 16x + 20$

I hope I helped you^_^

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2 years ago