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Andreyy89
3 years ago
13

What is the answer to 3x - 9 equals 3 (x-5)​

Mathematics
1 answer:
viktelen [127]3 years ago
4 0

Answer:

No solution

Step-by-step explanation:

To find the solution to 3x - 9 equals 3(x - 5), we would have to solve for x.

First set the two expressions equal to each other.

3x - 9 = 3(x - 5)

Now we can distribute the 3 on the right side.

3x - 9 = 3x - (3 * 5)

Simplify

3x - 9 = 3x - 15

Now lets try to get x alone on one side of the equality. Subtract 3x from both sides to cancel out of 3x on the right side.

3x - 9 - 3x = 3x - 15 - 3x

-9 = -15

And as you may have realized, -9 does not equal -15.

Why did the x disappear? Why did we end up with -9 = -15 which is clearly a false statement? This is because the the lines y = 3x - 9 and y = 3(x - 15) are parallel. Thus, they will never intersect and the equality 3x - 9 = 3(x - 5) will have no solution.

So there is no solution.

I hope you find my answer to be helpful. Let me know if you have any questions. Happy studying.

You might be interested in
The length of human pregnancies from conception to birth varies according to an approximately normal distribution with a mean of
Varvara68 [4.7K]

Answer:

A) 68.33%

B) (234, 298)

Step-by-step explanation:

We have that the mean is 266 days (m) and the standard deviation is 16 days (sd), so we are asked:

A. P (250 x < 282)

P ((x1 - m) / sd < x < (x2 - m) / sd)

P ((250 - 266) / 16 < x < (282 - 266) / 16)

P (- 1 < z < 1)

P (z < 1) - P (-1 < z)

If we look in the normal distribution table we have to:

P (-1 < z) = 0.1587

P (z < 1) = 0.8413

replacing

0.8413 - 0.1587 = 0.6833

The percentage of pregnancies last between 250 and 282 days is 68.33%

B. We apply the experimental formula of 68-95-99.7

For middle 95% it is:

(m - 2 * sd, m + 2 * sd)

Thus,

m - 2 * sd <x <m + 2 * sd

we replace

266 - 2 * 16 <x <266 + 2 * 16

234 <x <298

That is, the interval would be (234, 298)

6 0
3 years ago
Answer quickly please.
jeka57 [31]

Answer:

8.333333

Step-by-step explanation:

 3x+2(4+6x)=133

  3x+8+12x=133                      First I distibuted the 2 too the 4 and 6x

15x+8=133                                 Then I added the x es 3x and 12x

15x+8-8=133-8                         Then I subracted 8 from both sides

15x=125                                    That leaves with this

 15x/15=125/15                          Now I divide 15 from both sides to isolate x

x= 8.33333                                 that is the answer

                             check

                  3x+2(4+6x)=133

                 3*8.333333+2(4+6*8.333333)=133

                  24.999999 +2(4+ 49.999998)=133

                    24.999999+2( 53.999998)=133

                         24.999999+107.999996=133

                              132.999995=133

                       

                                 You can not get an exact answer for this problem

4 0
3 years ago
Given a+b=7 and a-b=3, find the following<br><br> 3^a÷3^b
gulaghasi [49]

Answer:

27

Step-by-step explanation:

a + b = 7

a - b = 3

2a = 10

a = 5

b = 7 - 5

b = 2

3⁵ / 3² = 3³ using law of indices

3³ = 27.

3 0
2 years ago
The length of a rectangle is 3 feet longer than the width. The perimeter is 30 feet. Find the length and width of the rectangle.
barxatty [35]

Answer:

do you mean height, because then the answer would be a length of 9 and height of 6

Step-by-step explanation:

9+9=18

6+6=12

18+12=30

5 0
3 years ago
What is the answer for 6.8 6.9 6.10
Dafna1 [17]
6.11

see- .8 .9 .10 so its .11
6 0
3 years ago
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