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mina [271]
3 years ago
14

Solve for x: 3(x+1) = 2(x-1) Somebody PLEASE HELP!!

Mathematics
2 answers:
Elza [17]3 years ago
8 0

Answer:

Step-by-step explanation:  3(x+1)=2(x-1)

                                                  3x+1=2x-1

                                                   2x     2x

                                                    1x+1=1

                                                     -1   -1

                                                       1x=0                                        

                                                        1x  1x

                                                         x=infinity

                                                        so with this problem its an infinite solution                  

                               

Lana71 [14]3 years ago
5 0

Answer:

Step-by-step explanation:

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F(x)= 2x^2-3x-9 G(x)= 4x^2-9 find (f/g) (x)
Liono4ka [1.6K]

Answer:

....

Step-by-step explanation:

....

8 0
3 years ago
Solve for w, where w is a real number.
Ber [7]

Answer:

w= 9

Step-by-step explanation:

\sqrt{ - 4w + 61}  = w - 4

Square both sides:

-4w +61= (w -4)²

\boxed{(a - b)^{2}  = a^2 -2ab + b^2 }

Expand:

-4w +61= w² -2(w)(4) +4²

-4w +61= w² -8w +16

Simplify:

w² -8w +16 +4w -61= 0

w² -4w -45= 0

Factorize:

(w -9)(w +5)= 0

w -9= 0 or w +5= 0

w= 9 or w= -5 (reject)

Note:

-5 is rejected since we are only taking the positive value of the square root here. If the negative square root is taken into consideration, then w= -5 would give us -9 on both sides of the equation.

<u>Why </u><u>do </u><u>we </u><u>use </u><u>negative </u><u>square </u><u>root?</u>

When solving an equation such as x²= 4,

we have to consider than squaring any number removes the negative sign i.e., the result of a squared number is always positive.

In the case of x²= 4, x can be 2 or -2. Thus, whenever we introduce a square root, a '±' must be used.

However, back to our question, we did not introduce the square root so we should not consider the negative square root value.

6 0
2 years ago
Read 2 more answers
Find ‘x’ in:- <br> x:6 :: 5 : 11
melomori [17]

Answer:

<h3>x:6 :: 5 : 11</h3>

x = 6*5/11=30/11

7 0
2 years ago
N is an integer<br> write down all the possible values of n<br><br> -2≤n&lt;5
melisa1 [442]

Answer:

-2, -1, 0, 1, 2, 3, 4

Step-by-step explanation:

The number has to be smaller than 5 but greater than or equal to - 2

8 0
3 years ago
Read 2 more answers
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
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