All categories

2 years ago

4|x-2|-12 = 0 Absolute Value & Set in notation

Mathematics

2 answers:

Sphinxa [80]2 years ago

8 0

Answer:

x= 5 , x = -1

Step-by-step explanation:

4|x-2|=12

|x-2| = 3

x-2 = 3

x = 5

x-2 = -3

x= -1

Angelina_Jolie [31]2 years ago

7 0

4|x-2|-12=0
X1= -1 and X2= 5

You might be interested in

Sam practices his guitar for 9 hours each week he practices each song for 3 1/2 hours. What is the greatest number of song he ca

liberstina [14]

Answer:

<em>The greatest number of song he can practice in a week is 2.</em>

Step-by-step explanation:

Suppose, the greatest number of song he can practice in a week is $x$

He practices each song for $3\frac{1}{2}$ hours. So, the total time required for practicing $x$ number of songs $= (3\frac{1}{2}*x)$ hours.

Given that, he practices his guitar for 9 hours each week.

So, the equation will be......

$3\frac{1}{2}*x= 9\\ \\ x= 9\div 3\frac{1}{2}\\ \\ x=9\div \frac{7}{2}=9 \times \frac{2}{7}=\frac{18}{7}= 2.571.... \approx 2$

<em>(Rounded as the greatest whole number)</em>

Thus, the greatest number of song he can practice in a week is 2.

4 0

3 years ago

Read 2 more answers

suppose that O has coordinates (0,0),and the points P and Q have coordinates that are whole numbers between 0 and 2, inclusive.

pishuonlain [190]

Answer:

Step-by-step explanation:

suppose that O has coordinates (0,0),and the points P and Q have coordinates that are whole numbers between 0 and 2, inclusive. One example of a triangle with O,P, and Q as vertices is shown below . how many such triangle are right triangle ?

4 0

3 years ago

Radio signals travel at a rate of 3 x 10^8 meters per second. How many seconds would it take for a radio signal to travel from a

wel

Time = Distance / Speed [ Already mentioned ]

Then, substitute the known values,

t = (9.6 × 10⁶) / (3 × 10⁸)

t = 3.2 × 10⁻² s

In short, Your Answer would be Option B

Hope this helps!

4 0

3 years ago

What are the first three terms of the sequence modeled by the recursive function an=1/2an-1 when a1=1?

loris [4]

Answer:

Option A is correct that is $1,\frac{1}{2},\frac{1}{4}$

Step-by-step explanation:

We have been given a formula $a_n=\frac{1}{2}\cdot a_n-1$

$a_1=1$

We will put values of n in $a_n=\frac{1}{2}\cdot a_n-1$

when n=2 we get

$a_2=\frac{1}{2}\cdot a_2-1$

$\Rightarrow a_2=\frac{1}{2}\cdot a_1$

$\Rightarrow a_2=\frac{1}{2}\cdot 1$

$\Rightarrow a_2=\frac{1}{2}$

when n=3

$a_3=\frac{1}{2}\cdot a_2$

$\Rightarrow a_3=\frac{1}{2}\cdot \frac{1}{2}$

$\Rightarrow a_3=\frac{1}{4}$

Therefore, Option A is correct that is $1,\frac{1}{2},\frac{1}{4}$

6 0

3 years ago

Read 2 more answers

A company has two large computers. The slower computer can send all the company's email in 55 minutes. The faster computer can c

adelina 88 [10]

You find the rates of each computer on its own...

One does the job in 55 minutes which we can say is 1/55

The other has a rate of 1/45.

The question wants to know how long it would take both working simultaneously to complete the job...

t/55+t/45=1

(9t+11t)/495=1

20t=495

t=24.75 minutes (24:15)

6 0

3 years ago