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andrew-mc [135]
3 years ago
6

Solve the equation. 5x + 6 = 2(2x – 3)

Mathematics
2 answers:
brilliants [131]3 years ago
3 0
Isolate the variable on one side of the equation and everything else to the opposite side of the variable.

You can isolate the variable by undoing the operations done to the variable.
For example, if we added 5 to x (x + 5) then we would need to undo that operation. We would need to use the inverse of addition. Which is subtraction.

5x + 6 = 2(2x - 3)
5x + 6 = 4x - 6 <-- Distribute the 2
x + 6 = -6 <-- Subtract 4x from each side
x = -12 <-- Subtract 6 from each side

So, x is equal to -12.
svet-max [94.6K]3 years ago
3 0

Answer:

-12

Step-by-step explanation:

yuh :)

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Write a mixed number that is equivalent to 16/3.
mars1129 [50]
A mixed number is an integer--whole number--in front of a fraction. To calculate this, you have to divide the numerator by the denominator and put the remainder over the denominator. 

Since 3 goes into 16 wholly 5 <em />times with 1 left over, 16/3 = 5 1/3.

Hope this helps!
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A room that measures 12 feet by 9 feet needs new flooring. Wood flooring costs $2.70 per square foot. How much will it cost to c
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A movie cost $3,254,107 to produce. what digit is in the hundred thousands place
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The digit in the hundred thousands place is the 2
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3.602 × 10 − 4 thx luvs
lorasvet [3.4K]

♡ The Question ♡

- 3.602 × 10 − 4

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer ♡

- 32.02

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

- 3.602 x 10 - 4

Multiply the numbers: 3.602 x 10 = 36.02

= 36.02 - 4

Subtract the numbers: 36.02 - 4 = 32.02!

= 32.02

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ Tips ♡

- No tips provided!

6 0
3 years ago
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What is the completely factored form of f(x)=x3+5x2+4x−6?
Gre4nikov [31]
f(x)=x^3+5x^2+4x-6
f(-3)=(-3)^3+5(-3)^2+4(-3)-6=0\implies x+3\text{ is a factor of }f(x)

Synthetic division yields

-3  |  1   5   4   -6
.    |      -3  -6    6
- - - - - - - - - - - - -
.    |  1   2  -2    0

which translates to

\dfrac{x^3+5x^2+4x-6}{x+3}=x^2+2x-2

with remainder 0. Now by the quadratic formula,

x^2+2x-2=0\implies x=\dfrac{-2\pm\sqrt{2^2-4(1)(-2)}}2=-1\pm\sqrt3

and so

f(x)=x^3+5x^2+4x-6=(x+3)(x-(-1+\sqrt3))(x-(-1-\sqrt3))
3 0
3 years ago
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