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4 years ago

HELP! ASAP! I WILL MARK BRAINLIEST WHEN THE BUTTON COMES UP, I WILL THANK, AND RATE THE ANSWER, AND MAYBE FREIND REQUEST!

Mathematics

1 answer:

natulia [17]4 years ago

5 0

Answer:

A Open circle at 6, line going to the right

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

We know the area is greater than 24

24 < l*w

One dimension is 4

24 < 4*w

Divide each side by 4

24/4 < 4w/4

6 < w

The other dimension must be greater than 6

Open circle at 6, line going to the right

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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:

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

232.23 devided by 546.87

Nimfa-mama [501]

Answer:

My answer is 1r.10241

Step-by-step explanation:

I solve this at my paper

6 0

3 years ago

How does the equation change if tamira has 60 dollars to spend on a mixture of almonds and cashews? How many pounds of nuts can

matrenka [14]

Answer:

Almonds cost $8 per pound and Cashews cost $10 per pound.

Assuming pounds of Almonds are denoted as a and Cashews are c, the formula will be:

8a + 10c = 60

Only Cashews:

This means that Almonds would be zero.

8(0) + 10c = 60

10c = 60

c = 60/10

c = 6 pounds of cashews

Only Almonds

8 * a + 10(0) = 60

8a = 60

a = 60/8

a = 7.5 pounds of almonds

A mixture of both.

We can use the formula above to calculate how many of each she can buy but she cannot buy more than 7.5 almonds or more than 6 cashews as she does not have enough money on her.

Assuming she wanted to buy 5 pounds of almonds, she would be able to buy:

8 * 5 + 10c = 60

40 + 10c = 60

10c = 60 - 40

c = 20/10

c = 2 pounds of cashews

4 0

3 years ago

Find c plissssssssssss

Rzqust [24]

The value of c is equal to $7\sqrt{2}$