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zzz [600]
3 years ago
11

2(-6x-4)+3 = 3(3x-3)+4

Mathematics
2 answers:
iren2701 [21]3 years ago
8 0

Answer:

x = 0

Step-by-step explanation:

For this problem, we will simply solve the equation by isolating the variable x, to find the value of x.

2(-6x - 4) + 3 = 3(3x - 3) + 4

2*(-6x) + 2*(-4) + 3 = 3*(3x) + 3*(-3) + 4

-12x + -8 + 3 = 9x + -9 + 4

-12x + -5 = 9x + -5

12x + -12x + -5 = 12x + 9x + -5

-5 = 21x + -5

5 + -5 = 21x + -5 + 5

0 = 21x

0 = x

Hence, in this equation, the value of x is 0.

Cheers.

forsale [732]3 years ago
7 0

Answer:

x = 0

Step-by-step explanation:

2(-6x-4)+3=3(3x-3)+4\\\\-12x-8+3=9x-9+4\\\\-12x-5=9x-5\\\\-12x-5+5=9x-5+5\\\\-12x=9x\\\\-12x-9x=9x-9x\\\\-21x=0\\\\\frac{-21x=0}{21}\\\\ \boxed{x=0}

Hope this helps.

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A factory bottles 51 bottles of juice in 7 minutes. Find the factory’s unit rate of bottle per minute
leonid [27]
51/7= 7.28 or just 7 rounded 
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4 years ago
A sign 4 meters tall cast a shadow 5 meters long . At the same time, a tree casts a shadow 30 meters long. What is the height of
AfilCa [17]
The information's given in the question are of vital importance. These information's should be very useful while getting to the desired answer of the given question.Let us now concentrate on the problem that needs to be solved.
The height of the sign that casts a shadow of 4 meters is = 5 meters
Then
The height of the tree that casts a shadow of 30 meters = (5/4) * 30 meters
                                                                                          = 150/4 meters
                                                                                          = 37.5 meters
So the tree casting a shadow of 30 meters is actually 37.5 meters in height. I hope the procedure is simple enough for you to understand.
5 0
3 years ago
Write the following quantity, 1 millimeter (mm), in powers of tens: _
NikAS [45]

1 millimetre = 1/1000 = 1×10^-3 m

3 0
1 year ago
I SUCK AT MATH PLEASE HELP
sergeinik [125]

Answer:

1. -1/28

2. -4

3.A) The attendance increased by an average of 25 people per game from game 2 to game 5.

4. -.125

Step-by-step explanation:

To find the rate of change, we use the formula

f(x2) - f(x1)

--------------

x2-x1

1.  

f(x) = -(x) ^ 1/3

f(64) = -(64) ^ 1/3 = -4

f(8) =- (8)^1/3 = -2

f(64) - f(8)     -4--2             -4+2             -2            -1

-------------- = ---------     =  ------------- = ----------- =  ------

64 - 8              56               56              56            28

2.  

f(2) = 9

f(-2) = 25

f(x2) - f(x1)   f(2) - f(-2)      9-25              -16            -16

-------------- =----------- = ----------------- = ---------- = ----------- = -4

x2-x1             2--2                2+2              4            4

3.

f(5) = 755

f(2) = 680

f(x2) - f(x1)    f(5) - f(2)     755-680      75

-------------- = ----------   = -------------- = ---------- = 25

x2-x1              5-2                  3             3

A) The attendance increased by an average of 25 people per game from game 2 to game 5.

4.  

f(-1)  = -.25

f(1) = -.5

f(x2) - f(x1)    f(1) - f(-1)     -.5 --.25       -.5+.25     -.25

-------------- = ----------   = -------------- = ---------- = --------- = -.125

x2-x1              1--1                 1+1             2             2

6 0
3 years ago
Read 2 more answers
Please help!
Nimfa-mama [501]

Answer:

Take x = 10.2 in. or x = 10 in.

Step-by-step explanation:

Given :

Length = (2x+3) in.

Breadth = x in.

Also, the Area of Rectangle = 240 sq in.

We know that,

Area of Rectangle = length x breadth

240 = (2x+3) x

2x² + 3x = 240

2x² + 3x - 240 = 0

Solving    2x²+3x-240 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

                                   

           - B  ±  √ B²-4AC

x =   ————————

                     2A

In our case,  A   =     2

                     B   =    3

                     C   =  -240

Accordingly, B²  -  4AC   = 9 - (-1920) = 1929

Applying the quadratic formula :

              -3 ± √ 1929

  x  =    ——————

                     4

 √ 1929   , rounded to 4 decimal digits, is  43.9204

So now we are looking at:

          x  =  ( -3 ±  43.920 ) / 4

Two real solutions:

x =(-3+√1929)/4=10.230 ≈ 10

or

x =(-3-√1929)/4=-11.730

We'll take x = +ve value for calculation of length and breadth.

Therefore,

Length = [2(10.2) + 3 ]

L = 23.4 in.

Breadth = 10.2 in.

OR

Length = [2(10) + 3]

L = 23 in.

Breadth = 10 in.

3 0
4 years ago
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