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BabaBlast [244]
3 years ago
14

Solve for x: 2|2x − 2| + 4 = 20.

Mathematics
2 answers:
barxatty [35]3 years ago
8 0
<span><span>Subtract 4 from both sides of the equation.
<span>2<span>|2x−2|</span>=16</span></span><span>Divide both sides of the equation by 2.
<span><span>|2x−2|</span>=8</span></span><span>Set 2x-2 equal to positive and negative 8.
<span>2x−2=8,2x−2=−8</span></span><span>Solve both equations for x.
<span>x=5,−<span>3</span></span></span></span>
Free_Kalibri [48]3 years ago
7 0
2|2x − 2| + 4 = 20.
2|2x − 2|  = 20.- 4
2|2x − 2| = 16
|2x − 2| =8

That means:
1st: 2x-2 = 8   and 2nd: 2x - 2 = -8
1st: 2x=10 and x = 5

2nd  2x-2=-8, 2x = -6 and x = -3

So x = 5 and x = -3 (1st answer)

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He logical statement represents the inverse of the conditional statement “if you are human, then you were born on earth.”
Artyom0805 [142]

The conditional statement “if you are human, then you were born on earth.”

The logical statement is the inverse of the conditional statement.

So, the logical statement is If you are born on earth then you are a human.

Now we can say that our conditional statement is absolutely true in all condition

 which states If i am a human⇒  I am born on earth

but logical statement is not true because If i am born on earth it does not mean that i can be only human, i can be other creature  also.

The answer can be depicted by venn diagram also.


8 0
3 years ago
URGENT: If Marla, who budgeted $65 for food per day on her business trip, is gone on a business trip for 2 weeks, what is her to
Luda [366]

Answer:

A.910

Step-by-step explanation:

65 per day times 2 weeks (14 days) 65 x 14 = 910

8 0
2 years ago
Read 2 more answers
A random variableX= {0, 1, 2, 3, ...} has cumulative distribution function.a) Calculate the probability that 3 ≤X≤ 5.b) Find the
olchik [2.2K]

Answer:

a) P ( 3 ≤X≤ 5 ) = 0.02619

b) E(X) = 1

Step-by-step explanation:

Given:

- The CDF of a random variable X = { 0 , 1 , 2 , 3 , .... } is given as:

                    F(X) = P ( X =< x) = 1 - \frac{1}{(x+1)*(x+2)}

Find:

a.Calculate the probability that 3 ≤X≤ 5

b) Find the expected value of X, E(X), using the fact that. (Hint: You will have to evaluate an infinite sum, but that will be easy to do if you notice that

Solution:

- The CDF gives the probability of (X < x) for any value of x. So to compute the P (  3 ≤X≤ 5 ) we will set the limits.

                   F(X) = P ( 3=

- The Expected Value can be determined by sum to infinity of CDF:

                   E(X) = Σ ( 1 - F(X) )

                   E(X) = \frac{1}{(x+1)*(x+2)} = \frac{1}{(x+1)} - \frac{1}{(x+2)} \\\\= \frac{1}{(1)} - \frac{1}{(2)}\\\\= \frac{1}{(2)} - \frac{1}{(3)} \\\\=  \frac{1}{(3)} - \frac{1}{(4)}\\\\= ............................................\\\\=  \frac{1}{(n)} - \frac{1}{(n+1)}\\\\=  \frac{1}{(n+1)} - \frac{1}{(n+ 2)}

                   E(X) = Limit n->∞ [1 - 1 / ( n + 2 ) ]  

                   E(X) = 1

8 0
3 years ago
Mara and Jonathan each created a sequence of numbers using a rule. Both sequences start with 0 as the first number. Mara’s rule
Masja [62]

Answer:

Both can be true irrespective of the common difference.

6 0
3 years ago
If a rectangle measures 21 centimeters by 28 centimeters what is the length in centimeters of the diagonal of the rectangle
SOVA2 [1]

Answer:

35cm

Step-by-step explanation:

Given data

Length= 21cm

Width= 28cm

Diagonal= ???

Applying Pythagoras theorem

D^2= L^2+W^2

D^2= 21^2+28^2

D^2= 441+784

D^2= 1225

D= √1225

D= 35cm

Hence the diagonal is 35cm

4 0
3 years ago
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