1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
leonid [27]
2 years ago
15

How many solutions does the equation 6(x -2) = 8 + 6x have?

Mathematics
1 answer:
Contact [7]2 years ago
7 0

Answer:

There are no solutions.

Step-by-step explanation:

First simplify the equation.

<u>6(x - 2)</u> = 8 + 6x

Distribute.

6x - 12 = 8 + 6x

Adding 8 to a number and subtracting 12 from the same number to get the same answer doesn't make sense so there are no solutions.

You might be interested in
what is the quotient when x3 − 5x2 2x 5 is divided by x − 2? x2 − 3x − 4 x2 − 7x 16 x2 − 3x − 4 − 3 over the quantity of x minus
nekit [7.7K]
<span><u><em>The correct answer is: </em></u>
x</span>²<span>-3x-4 -</span>\frac{3}{x-2}<span>.

<u><em>Explanation</em></u><span><u><em>: </em></u>
To divide these polynomials, the dividend, x</span></span>³<span><span>-5x</span></span>²<span><span>+2x+5, goes under the box, and the divisor, x-2, goes outside of the box.

We first want to find what we multiply x by to make x</span></span>³<span><span>; x*x</span></span>²<span><span>=x</span></span>³<span><span>, so we write x</span></span>²<span><span> over -5x</span></span>²<span><span> in the box.
 
<u>Now we multiply our divisor, x-2, by x</u></span></span><u>²</u><span><span><u>: </u>
x*x</span></span>²<span><span>=x</span></span>³<span><span>
-2*x</span></span>²<span><span>=-2x</span></span>²<span><span>.

This goes under x</span></span>³<span><span>-5x</span></span>²<span><span> in the box.

<u>Now we subtract: </u>
(x</span></span>³<span><span>-5x</span></span>²<span><span>)-(x</span></span>³<span><span>-2x</span></span>²<span><span>)=-3x</span></span>²<span><span>.

This goes below the 2x</span></span>²<span><span> we wrote, and we bring down 2x.

Now we see what we multiply x by to make -3x</span></span>²<span><span>;
x*-3x=-3x</span></span>²<span><span>, so we write -3x beside x</span></span>²<span><span> in the quotient (at the top).

<u>We multiply our divisor, x-2, by -3x: </u>
 x*-3x=-3x</span></span>²
<span><span>-2*-3x=6x.

We write -3x</span></span>²<span><span>+6x under our -3x</span></span>²<span><span>+2x and <u>subtract</u>:
(-3x</span></span>²<span><span>+2x)-(-3x</span></span>²<span><span>+6x)=-4x.

Write this below 6x. Bring down +5.

Now we see what we multiply x by to make -4x;
x*-4=-4x, so write -4 beside -3x in the quotient.

<u>Multiply our divisor, x-2, by -4: </u>
x*-4=-4x;
-2*-4=8;

write -4x+8 below -4x+5 and <u>subtract:</u>
(-4x+5)-(-4x+8)=-3.

This gives us the quotient x</span></span>²<span><span>-3x-4 with a remainder of -3, so we write our full answer as x</span></span>²<span><span>-3x-4-(3/x-2).</span></span>
3 0
3 years ago
Read 2 more answers
gallon of water weighs 8.354 pound. simon uses 11.81 gallon of water while taking a shower. about how many pound of water did si
Svetach [21]
        1 gallon______8.354 lbs.
11.81 gallons______?
8.354 x 11.81 = 98.66
98.66 / 1 = 98.66 lbs.
6 0
3 years ago
chad buys peanuts in 2 pound bags. he repackages them into bags that hold 5/6pound of peanuts . how many 2 pound bags of peanuts
nata0808 [166]
He needs only one because 2 is bigger than 5/6

hope this helps and you rate me good
8 0
3 years ago
Read 2 more answers
What are the partial products that result from multiplying 17*32?
murzikaleks [220]

Answer:

544

Step-by-step explanation:

4 0
3 years ago
explain the two different answers you can get when solving an equation and the variable is dropped out.
Alexandra [31]
To give a simple answer

if you consider the equation to be that of a line.
then if the variables cancel out, then the two lines will have the same slope.

two lines with the same slope fall under two categories. Parallel lines, and lines on top of each other

parallel lines have no solutions since the lines never cross each other
lines on top of each other have infinitely many solutions  since they "cross" everywhere on the line
3 0
3 years ago
Other questions:
  • Jorge lives 6/8 mile from school and 2/8 mile from a ballpark. How much farther does jorge live from school than from the ballpa
    14·2 answers
  • Quadrilateral EFGH has coordinates E(2a, 2a), F(3a, a), G(2a, 0), and H(0, 0). Find the midpoint of he
    12·2 answers
  • What is 1,295.014 rounded to the nearest hundredth?
    8·2 answers
  • Which is the definition of a ray?
    7·1 answer
  • Circles in the same plane and having the same center are called congruent circles.
    12·2 answers
  • How do I find the sum of this series?<br>Question D
    12·1 answer
  • Each unit on a coordinate plane represents one mile. One end of a road starts at (-12, -3). The road ends at (6, -3). How long i
    6·1 answer
  • Rick charges $50 plus $40 an hour to fix cars. Let x be the number of hours that he works and y be the overall cost that he char
    9·1 answer
  • Triangle ABC is graphed below with vertices at A (-4,5), B (-6, -4) and C (4,-4). Use the following rule to produce
    12·1 answer
  • The height of a tower and the distance of the point of observation from its foot, both, are increased by 20%. The angle of eleva
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!