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Mnenie [13.5K]
4 years ago
10

The difference between a number,x, and 4 is 9. find the number​

Mathematics
1 answer:
Elena-2011 [213]4 years ago
6 0

let's set up an equation:

x-4=9

solve normally:

x=13

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Find the extreme values of f(x y)=xy subject to the constraint x^2 + y^2 -4 = 0
KATRIN_1 [288]
Via Lagrange multipliers:

L(x,y,\lambda)=xy+\lambda(x^2+y^2-4)

L_x=y+2\lambda x=0
L_y=x+2\lambda y=0
L_\lambda=x^2+y^2-4=0

yL_x=y^2+2\lambda xy=0
xL_y=x^2+2\lambda xy=0
\implies yL_x-xL_y=y^2-x^2=0\implies y^2=x^2
\implies x^2+y^2=4=2x^2\implies x^2=2\implies x=\pm\sqrt2\implies y=\pm\sqrt2

So we have four critical points to consider, (\sqrt2,\sqrt2),(-\sqrt2,\sqrt2),(\sqrt2,-\sqrt2),(-\sqrt2,-\sqrt2). If both coordinates are positive or both are negative, we get a maximum value of (\pm\sqrt2)^2=2; otherwise, we get a minimum of (-\sqrt2)(\sqrt2)=-2.
4 0
3 years ago
If the cost of producing a product that sells for $50 is 120,000 plus $20.00 per piece, then how many products must be sold to b
Vadim26 [7]
Let
x--------->number of products
y1--------> <span>the cost of producing a product
y2------> </span><span>the cost of sell a product
</span><span>
we know that
y1=120,000+20x-------> equation 1
y2=50x------> equation 2

equate equation 1 and equation 2
120,000+20x=50x
50x-20x=120,000
30x=120,000
x=4000

the answer is
4000 pieces</span>
4 0
3 years ago
|15| = _____ |-35| = _____<br><br><br> I need the answers
miss Akunina [59]

Answer:

15,35

Step-by-step explanation:

In absolute value you just remove the negative sign. Absolute value of something is always positive.

8 0
3 years ago
Noah is working on a geometry problem that involves finding the volume of a sphere with a diameter of 9 units. His work is shown
lesya692 [45]
No, Noah used the diameter instead of the radius in the calculations is the answer. 
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3 years ago
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Ierofanga [76]

Answer:

y + 3 = (-1/2) x

Step-by-step explanation:

2x-y=-7

-y=-2x-7

y=2x+7

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Equation of a line with perpendicular slope m2 and a point (0,-3) is

y - (-3) = (-1/2)(x - 0)

y + 3 = (-1/2) x

2y + 6 = - x

3 0
3 years ago
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