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Drupady [299]
3 years ago
13

Of the following options, what could be a possible first step in solving the equation x + 6 = 3x -2

Mathematics
1 answer:
Artemon [7]3 years ago
6 0

Step-by-step explanation:

X + 6 = 3x - 2

Bringing like terms on one side

6 + 2 = 3x - x

8 = 2x

8/2 = x

4 = x

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Calculator
Ludmilka [50]

Answer:

34

Step-by-step explanation:

42/21 = x/17

solve to get the answer

2 = x/17

2*17 = x/17 * 17

34 = x

5 0
3 years ago
A person has utility function u(x, y) = 100xy + x + 2y. Suppose that the price per unit of x is $2, and that the price per unit
Kazeer [188]

Answer:

x = 250

y = 125

u(x,y) = 3125500

Step-by-step explanation:

As given,

The utility function u(x, y) = 100xy + x + 2y

P_{x} = 2 , P_{y} = 4

Now,

Budget constraint -

P_{x} x + P_{y} y = 1000

⇒2x + 4y = 1000

So,

Let v(x, y) = 2x + 4y - 1000

Now,

By Lagrange Multiplier

Δu = Δv

⇒< 100y + 1, 100x + 2 > = < 2, 4 >

By comparing, e get

100y + 1 = 2         ........(1)

100x + 2 = 4        .........(2)

Divide equation (2) to equation (1) , we get

\frac{100y + 1}{100x + 2} = \frac{1}{2}

⇒2(100y+1) = 1(100x+2)

⇒200y + 2 = 100x + 2

⇒200y = 100x

⇒2y = x

Now,

As 2x + 4y = 1000

⇒2x + 2(2y) = 1000

⇒2x + 2x = 1000

⇒4x = 1000

⇒x = 250

Now,

As 2y = x

⇒2y = 250

⇒y = \frac{250}{2} = 125

∴ we get

x = 250

y = 125

Now,

u(250, 125) = 100(250)(125) + 250 + 2(125)

                   = 3125000 + 250 + 250

                  = 3125000 + 500

                 = 3125500

⇒u(250, 125) = 3125500

3 0
3 years ago
Please look at the image which includes the question ! I need help on this. I am pretty confused right now.
vlabodo [156]
I'm guessing it's (8,9)
5 0
2 years ago
Solve the inequality. 2(4+2x)≥5x+5<br> x≤−2 <br> x≥−2 <br> x≤3<br> x≥3
KATRIN_1 [288]
<h2>Answer:</h2>

The solution of the inequality is:

                       x\leq 3

<h2>Step-by-step explanation:</h2>

We are given a inequality in terms of variable x as:

2(4+2x)\geq 5x+5

Now we are asked to find the solution of the inequality i.e. we are asked to find the possible values of x such that the inequality holds true.

We may simplify this inequality as follows:

On using the distributive property of multiplication in the left hand side of the inequality we have:

2\times 4+2\times 2x\geq 5x+5\\\\i.e.\\\\8+4x\geq 5x+5\\\\i.e.\\\\8-5\geq 5x-4x\\\\i.e.\\\\x\leq 3

The solution is:      x\leq 3

8 0
3 years ago
Read 2 more answers
Find the value of x. Show your work with proper statements and notation. P e MQ.
natali 33 [55]

Answer:

32+46=6x

96=6x

X=16

5 0
3 years ago
Read 2 more answers
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