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elixir [45]
3 years ago
7

12(x-2)+3x=1/2(x+6) +2

Mathematics
2 answers:
jeka943 years ago
8 0

Answer:

X = 2

Step-by-step explanation:

Let's solve your equation step-by-step.

12(x−2)+3x=1/2(x+6)+2

Step 1: Simplify both sides of the equation.

12(x−2)+3x=1/2(x+6)+2

(12)(x)+(12)(−2)+3x=(1/2)(x)+(1/2)(6)+2(Distribute)

12x+−24+3x=1/2x+3+2

15x+−24=1/2x+5

15x−24=1/2x+5

Step 2: Subtract 1/2x from both sides.

15x−24−1/2x=1/2x+5−1/2x

\frac{29}{2}x−24=5

Step 3: Add 24 to both sides.

\frac{29}{2}x−24+24=5+24

\frac{29}{2}x = 29

Step 4: Multiply both sides by 2/29.

(\frac{29}{2})*(\frac{29}{2}x)=(\frac{29}{2})*(29)

x = 2

garri49 [273]3 years ago
6 0

Answer: I think your answer is 2 ( please let me know if this is wrong ) !

Step-by-step explanation:

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3 years ago
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
12. Ms. Lacy wants to work out. Drop It Like It's Hot gym charges a monthly rate of $25 and
arsen [322]

Answer:

more than 12 classes

Step-by-step explanation:

8 0
2 years ago
3. The student council is selling roses to collect funds for a charity. The graph be
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Answer:

Unit = 3

Step-by-step explanation:

Given

See attachment for graph

Required

The unit cost

Pick any point on the dots of the graph; we have:

(x,y) = (2,6)

The unit cost is then calculated as:

Unit = \frac{6}{2}

Unit = 3

5 0
3 years ago
Mike had 228 dollars to spend on 7 books. After
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Answer:

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Step-by-step explanation:

We know that the cost of all of the books was 228 - 18 = 210 dollars because Mike had 18 dollars left over. Assuming that each book cost the same amount, we know that each book costs 210 / 7 = $30.

8 0
3 years ago
Read 2 more answers
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