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Hoochie [10]
3 years ago
8

What is the missing value

Mathematics
1 answer:
Vikentia [17]3 years ago
4 0
If A is equal to 30, and A+B equals 42. That means B equals 12. So, if the value increased with the same rate of change, it would be 54. This is because 30 plus 12 is 42. 42 plus 12 would equal 54.
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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
PLEASE HELP ASAP
Ksenya-84 [330]
1. The area of the photograph is:
 
 A=LxW
 
 A is the area of the photograph (A=54 in²).
 L is the lenght of the photograph (L=12-4x).
 W is the widht of the photograph (W=12-2x)
 
 2. When you substitute these values into the formula A=LxW, you obtain:
 
 A=LxW
 54=(12-4x)(12-2x)
 
 3. When you apply the distributive property, you have:
 
 54=144-24x-48x+8x²
 8x²-72x+144-54=0
 
 4. Finally, you obtain a quadratic equation for the area of the photo:
 
 8x²-72x+90=0
 
 5. Therefore, the answer is:
 
 8x²-72x+90=0

6 0
2 years ago
What is a fraction five sentences or more
sukhopar [10]
A fraction is a way of showing a division by showing the number you are dividing and the number you are dividing by. The number you are dividing is called the numerator. It goes above a horizontal line. The number you are dividing by is the denominator and it goes below the horizontal line. When typing, a slash takes the place of the horizontal line.
6 0
3 years ago
Read 2 more answers
Given the vent diagram below , if a student is randomly selected , what is the probability that he or she is not attending eithe
Furkat [3]
The correct answer is 28 because all numbers add up to 200 and the number saying that she doesn't attend either is 56, half of 56 is 28. Voila 
5 0
3 years ago
3x + y = -21<br> x+y=-5<br> solving systems of equations by substitution
katen-ka-za [31]
First : x=-5-y and then put x in the phrase above
7 0
3 years ago
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