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Serhud [2]
2 years ago
5

Someone help plz make sure it’s right will mark brainiest if it is :)

Mathematics
1 answer:
garik1379 [7]2 years ago
5 0

Answer:

23

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
Find the slope of the following line y=3/4x-7<br> A -7<br> B 7<br> C 3/4<br> D -4/3
melomori [17]
3/4 because tht equation is in the form of y=mx+b and M stands for slope and In waht u wrote The slope is 3/4
6 0
3 years ago
Probability of a coin landing on heads
Viefleur [7K]

Answer:

The answer would be 50% or 1/2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Help Urgent ! is it B or C I am not sure what to pick
algol13

Answer:

C is the answer.

3 0
2 years ago
Read 2 more answers
In AWXY, WY is extended through point Y to point Z, m_YW X = (2x + 12),
Alja [10]

Answer:

Sum of two interior angles=exterior angle

\\ \sf\longmapsto 2x+12+2x+5=7x-1

\\ \sf\longmapsto 4x+17=7x-1

\\ \sf\longmapsto 3x=18

\\ \sf\longmapsto x=6

Done!

4 0
2 years ago
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