All categories

3 years ago

|2x-3| < 9 solve for x

Mathematics

2 answers:

Misha Larkins [42]3 years ago

7 0

$|2x-3| < 9\iff2x-3 < 9\ \wedge\ 2x-3 > -9\\\\2x < 9+3\ \wedge\ 2x > -9+3\\\\2x < 12\ \wedge\ 2x > -6\\\\x < 6\ \wedge\ x > -3\\\\\\x\in(-3;\ 6)$

Inessa [10]3 years ago

5 0

$|2x-3| < 9 \\ \\2x-3 < 9 \ \ and \ \ 2x-3 > -9 \\ \\ 2x < 9 +3 \ \ and \ \ 2x > -9 +3 \\ \\ 2x < 12\ \ and \ \ 2x > -6 \\ \\ x < 6\ \ and \ \ x > - 3 \\ \\ x \in (-3,6)$

You might be interested in

Can you form a triangle with these given side lengths? 12 , 8 , 16<br><br> Please help me!!!!

Scilla [17]

Answer:

yes

Step-by-step explanation:

12+8>16

the two short sides have to be greater than the longest dude when combined and that is true so you can form a triangle

6 0

3 years ago

Read 2 more answers

A = (5)<br> b = (3)<br> Work out 4a + b

malfutka [58]

Step-by-step explanation:

IF A=5, B=3

4*5+3=20+3

=23

THE ANSWER IS 23

8 0

3 years ago

Will give brainliest

ehidna [41]

Answer:

25.047 or roughly 25.

Step-by-step explanation:

I solved it wrong the first time then i double check with wolframalpha and got the correct number.

We know that the area of the tile is 18 $\sqrt{3}$ and it makes a triangle, we also know the base and height. In this case the base is 2 $\sqrt{3}^{x/12}$ and the height is also given which is $\sqrt{3}^{\frac{x}{6} }$ .

Area of triangle = $\frac{bh}{2}$ ,

substituting we will end up with 18 $\sqrt{3}$ =( 2 $\sqrt{3}^{x/12}$ * $\sqrt{3}^{\frac{x}{6} }$ ) / 2

Here is the tricky part $\sqrt{x} = x^{\frac{1}{2} }$ , i totally forgot about that lol.

Simplifying: we will get 18 $\sqrt{3}$ = $3^{\frac{x}{8} }$

Now, in order to find the x, we will need to take the log of both sides.

$log18\sqrt{3} = \frac{x}{8} log3$

Solving for x we end up getting:

$8\frac{log18\sqrt{3} }{log3}$ = x

where x = 25.047.

To be honest I deserve a nobel prize not a brainliest lol.

Good question bro, take it easy.

5 0

3 years ago

What is the GCF of 28 and 72? Please explain if you can.

Minchanka [31]

72=1,72,2,36,3,24,4,18,6,12,8,9 28=1,28,2,14,4,7 So,the answer is 4

5 0

3 years ago

Gnesinka [82]

Using a proportional relationship, it is found that the two equations that have the same constant of proportionality are givn by:

с 1 and 3

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, the functions and constants are given as follows:

1. 4y = 3x -> k = 3/4.

2. 8y = 5x -> k = 5/8.

3. 8y = 6x -> k = 6/8 = 3/4.

4. 5y = 8x -> k = 8.5.

Equations 1 and 3 have the same constants, hence option c is correct.

More can be learned about proportional relationships at brainly.com/question/10424180

4 0

2 years ago