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exis [7]
3 years ago
11

Solve: 125x + 3 = 52x + 4

Mathematics
2 answers:
Norma-Jean [14]3 years ago
8 0
I would say x= 1/73 thats what i got
Marina86 [1]3 years ago
8 0
It would be: 125x + 3 = 52x + 4
125x - 52x = 4 - 3
73x = 1
x = 1/73

So, your final answer is 1/73

Hope this helps!

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Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
makkiz [27]

Answer:

Step-by-step explanation:

x + 2y + 3z = 12

z=\frac{12-x-2y}{3}

Volume = V=f(x,y) = xy(\frac{12-x-2y}{3} )

find partial derivatives using product rule

f_x =\frac{y}{3} (12-2x-2y)\\f_y = \frac{x}{3} (12-x-4y)

i.e.

Using maximum for partial derivatives, we equate first partial derivative to 0.

y=0 or x+y =6

x=0 or x+4y =12

Simplify to get y =2, x = 4

thus critical points are (4,2) (6,0) (0,3)

Of these D the II derivative test gives

D<0 only for (4,2)

Hence maximum volume is when x=4, y=2, z= 4/3

Max volume is = 4(2)(4/3) = 32/3

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3 years ago
6) (after 2.3) Consider the infinite system of linear equations in two variables given by ax + by = 0 where (a, b) moves along t
Paraphin [41]

Answer:

Step-by-step explanation:

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when (a,b) moves along unit circle in plane.

a) system having unique system (0, 0)

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1.x+0.y=0\\x=0

and

0.x+1.y=0\\y=0

It is clear that x = 0, y= 0 is the only solution

b) Linear independent solution in this system gives some set of solutions

1.x+0.y=0\\\x=0

and

0.x+1.y=0\\y=0

Vector form is

\left[\begin{array}{ccc}1&0\\0&1\end{array}\right] =I

c) for this equation if add 0x +0y = 0 to system , Nothing will change

Because [0,0] satisfies that equation

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where 0.00001 is small positive number

so, the system will be inconsistent

Therefore, the system will have no solution.

6 0
3 years ago
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Basile [38]

Answer:

$190 is the answer

minus $5 from $97.50 and add that number to $97.50

5 0
3 years ago
Read 2 more answers
Can someone answer this question please?
allochka39001 [22]

Answer:

Step-by-step explanation:9

5 0
3 years ago
Which of the following describes how a lake might form?
jek_recluse [69]

Answer:

I think the answer is all of the above

6 0
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