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qaws [65]
3 years ago
10

Write the difference as a mixed number.3- 1 1/3​

Mathematics
1 answer:
BigorU [14]3 years ago
6 0

Answer:

11/3 as a mixed number would be 3 2/3

Step-by-step explanation:

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Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=x+4y subject to the constraint x2+y2=9, if such values
Vesnalui [34]

The Lagrangian is

L(x,y,\lambda)=x+4y+\lambda(x^2+y^2-9)

with critical points where the partial derivatives vanish.

L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}

L_y=4+2\lambda y=0\implies y=-\dfrac2\lambda

L_\lambda=x^2+y^2-9=0

Substitute x,y into the last equation and solve for \lambda:

\left(-\dfrac1{2\lambda}\right)^2+\left(-\dfrac2\lambda\right)^2=9\implies\lambda=\pm\dfrac{\sqrt{17}}6

Then we get two critical points,

(x,y)=\left(-\dfrac3{\sqrt{17}},-\dfrac{12}{\sqrt{17}}\right)\text{ and }(x,y)=\left(\dfrac3{\sqrt{17}},\dfrac{12}{\sqrt{17}}\right)

We get an absolute maximum of 3\sqrt{17}\approx12.369 at the second point, and an absolute minimum of -3\sqrt{17}\approx-12.369 at the first point.

4 0
2 years ago
Common numbers for 15 18 and 12
Aleks [24]
<span>Common numbers for 15 18 and 12: 1 and 3</span>
8 0
3 years ago
What is 5/14+1/6 I really need help
-Dominant- [34]
First thing to do, when you have to add 2 fractions, you have to make both denominators equal. 14/6 = 0.84, so can't multiply or divide any fraction by a whole number to get the other denominator.
So, you multiply each fraction by the denominator of the other fraction. Which means that you multiply 5/14 by the denominator of 1/6 which is 6, and you multiply 1/6 by the denominator of 5/14 which is 14.
5/14 + 1/6 = 30/84 + 14/84
Then you join both fractions to make them under one denominator, since both denominators are equal.
30/84 + 14/84 = (30+14)/84 = 44/84.
Now, you need to simplify the fraction: you divide both numerator and denominator by 4:
44/84 = 11/21

So 5/14 + 1/6 = 11/21

Hope this Helps! :)

6 0
3 years ago
Read 2 more answers
PLS HELP ME WITH MATH
arsen [322]

Answer:

slope is 3

Step-by-step explanation:

Slope = \frac{change  in  y }{change  in  x }

change in y = (13-7),  (19-13),  (25-19),  (31-25)

change in y = 6

Change in x = (4-2),  (6-4),  (8-6),  (10-8)

Change in x = 2

Therefore slope = \frac{6}{2}

Slope = 3

5 0
2 years ago
Write in expanded form. Use parentheses to indicate multiplication. (-3x) 4
tester [92]
Multiply the number together ....
(-3x)4 = -12x
4 0
3 years ago
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