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drek231 [11]
2 years ago
12

How would you eliminate the

Mathematics
1 answer:
Nimfa-mama [501]2 years ago
7 0

Answer:

Multiply each term by LCM of 3 and 4 which is 12

Step-by-step explanation:

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Find the greatest solution for x+y when x^2+y^2 = 7, x^3+y^3=10
damaskus [11]

Answer:

4

Step-by-step explanation:

set

f(x,y)=x+y\\

constrain:

g(x,y)=x^2+y^2 = 7\\h(x,y)=x^3+y^3=10

Partial derivatives:

f_{x}=1\\f_{y} =1 \\g_{x}=2x \\g_{y}=2y\\h_{x}=3x^2 \\h_{y}=3y^2

Lagrange multiplier:

grad(f)=a*grad(g)+b*grad(h)\\

\left[\begin{array}{ccc}1\\1\end{array}\right]=a\left[\begin{array}{ccc}2x\\2y\end{array}\right]+b\left[\begin{array}{ccc}3x^2\\3y^2\end{array}\right]

4 equations:

1=2ax+3bx^2\\1=2ay+3by^2\\x^2+y^2=7\\x^3+y^3=10

By solving:

a=4/9\\b=-2/27\\x+y=4

Second mathod:

Solve for x^2+y^2 = 7, x^3+y^3=10 first:

x=\frac{1}{2} -\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} +\frac{\sqrt{13}}{2} \\x=\frac{1}{2} +\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} -\frac{\sqrt{13}}{2} \\x+y=-5\ or\ 1 \or\ 4

The maximum is 4

6 0
3 years ago
(m+3n) ^2 please help me solve this question, I really need it
Charra [1.4K]

Answer:

=m2+6mn+9n2

Step-by-step explanation:

=(m+3n)(m+3n)

=(m)(m)+(m)(3n)+(3n)(m)+(3n)(3n)

=m2+3mn+3mn+9n2

7 0
3 years ago
Complete the double number to line show percentages of $50. Fill in the blanks below to match the order of the number line and i
xenn [34]
0.05 then divide each number by 50% then simplify or if it’s a small number then just leave it
8 0
2 years ago
Question: Carbon-11 has a half-life of about 20 minutes. If we start with 200 grams, how
irakobra [83]

Answer:

C). 0.39 grams

Step-by-step explanation:

First find how many half-lifes are in 3 hours:

3 hours ÷ 20 minutes = 9 half-lifes

Find the total left:

0.5^9*200 ≈ 0.39

3 0
2 years ago
You have 12 shirts and plan to wear a different one each day from Monday
JulsSmile [24]
It should be 95,040. On the first day, you have 12 choices. On the second, eleven, and so on, until day 5. 12x11x10x9x8.
6 0
3 years ago
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