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In-s [12.5K]
3 years ago
15

ASAP ASAP ASAP ASAP pls answer this question

Mathematics
1 answer:
pashok25 [27]3 years ago
8 0
Just plot the points on the graph.
2. You know since the graph is a straight line, the ratios are proportional and therefore equivalent
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Find the extreme values of the function f(x, y) = 4x2 + 6y2 on the circle x2 + y2 = 1.
julia-pushkina [17]

Answer with Step-by-step explanation:

We are given that

f(x,y)=4x^2+6y^2

Let g(x,y)=x^2+y^2=1

We have to find the extreme values  of the given function

\nabla f(x,y)

\nabla g(x,y)=

Using Lagrange multipliers

\nabla f(x,y)=\lambda \nabla g(x,y)

f_x=\lambda g_x

8x=\lambda 2x

Possible value x=0 or \lambda=4

If x=0 then substitute the value in g(x,y)

Then, we get y=\pm 1

f_y=\lambda g_y

12y=\lambda 2y

If \lambda=4 and substitute in the equation

Then , we  get possible value of y=0

When y=0 substitute in g(x,y) then we get

x=\pm 1

Hence, function has possible  extreme values at points (0,1),(0,-1), (1,0) and (-1,0).

f(0,1)=6

f(0,-1)=6

f(1,0)=4

f(-1,0)=4

Therefore, the maximum value of f  on the circlex^2+y^2=1  is f(0,\pm1)=6 and minimum value of f(\pm1,0)=4

7 0
3 years ago
Use estimation to check the answer to this story problem.
katovenus [111]
Here, the answer would be: 765 * 11 = 8415  [ About 8 thousands ]

In short, Your Answer would be Option C) <span>The answer should be about 8,000 yards. The student's answer is not correct.

Hope this helps!</span>
5 0
3 years ago
What is y + 11 = 1/3(x + 3) in standard form?
lorasvet [3.4K]
Standard form is y=Mx+b so first step is to isolate y:
Y=1/3(x+3)-11

Then use order of operations to simplify the x to a whole number. First multiply by three:
3y=x+3-33

Now combine like terms:
3y=x-30

Finally,
Divide to make y have a coefficient if one:

Y= 1/3x -10
3 0
3 years ago
Solve:<br> 12x - 13 = -6x + 17
zheka24 [161]

12x - 13 = -6x + 17 12x+6x=17+13 18x=30 X= 30÷18 X= 1.66667

4 0
4 years ago
The perimeter of a rectangular garden is
olganol [36]
Perimeter = 2 ( width + length)
294 = 2 (56 + length)
294/2 = 56 + length
147 = 56 + length
147 - 56 = length
91 = length

so the length is 91 feet
6 0
3 years ago
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