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
Gwar [14]
3 years ago
10

Solve this absolute value equation and show all work.

Mathematics
1 answer:
vitfil [10]3 years ago
6 0
I was confused at first until I realized that you'd shared not one, not two, but three questions in one post.  would you please post just one question at a time to avoid this.

I'll focus on your second question only:  Solve <span>3 + |2x - 4| = 15.

Subtr. 3 from both sides.  Result:  |2x - 4| = 12

Divide all terms by 2, to reduce:    |x - 2| = 6

Case 1:  x-2 is already +, so we don't need |    |:

                       x - 2 = 6    =>   x = 8 (first answer)

Case 2:  x-2 is negative, so |2x-4| = -(2x-4) = 6

             Then   -2x + 8 = 6.  Subtr. 8 from both sides:   -2x = -2

               Div both sides by -2:  x = 1 (second answer)

Be sure to check these results by subst. them into the original equation.

Please post your other questions separately.  Thanks and good luck!

</span>
You might be interested in
Grasshoppers are distributed at random in a large field according to a Poisson process with parameter a 5 2 per square yard. How
HACTEHA [7]

In this question, the Poisson distribution is used.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Parameter of 5.2 per square yard:

This means that \mu = 5.2r, in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

P(X \geq 1) = 1 - P(X = 0) = 0.99

Thus:

P(X = 0) = 1 - 0.99 = 0.01

We have that:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}

Then

e^{-5.2r} = 0.01

\ln{e^{-5.2r}} = \ln{0.01}

-5.2r = \ln{0.01}

r = -\frac{\ln{0.01}}{5.2}

r = 0.89

Thus, the radius should be of at least 0.89.

Another example of a Poisson distribution is found at brainly.com/question/24098004

3 0
3 years ago
What is the greatest common factor of 128 and 96
aalyn [17]
The greatest common factor is 32

6 0
4 years ago
Read 2 more answers
The price of a television was reduced from $175 to $150. By what percentage was the price of the television reduced?
Aloiza [94]

Answer:

The answer would have to be 16.6666666666667.  This can be rounded up or keep the same.

5 0
3 years ago
Vector V is shown in the graph below.
Lady_Fox [76]

Answer:

v = -8i - 6j

Step-by-step explanation:

The starting point is (9, 9)

The direction of the vector is the direction of the arrowhead.

The i is the horizontal component.

The j is the vertical component.

Therefore, to go from the start to the end of the line, we need to travel negative 8 units (horizontally) and negative 6 units (vertically).

Therefore, v = -8i - 6j

8 0
2 years ago
Read 2 more answers
0.0215 has ____ significant figures
shepuryov [24]

Answer:

has 3 significant figures

Step-by-step explanation:

because zeros are counted if they are between the numbers

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which outcomes are in A or B ?
    14·2 answers
  • 20 POINTS!!!!!!!! What is the equation of this line in Slope-Intercept Form?
    14·2 answers
  • The cost of painting a circular traffic sign is $3.50 per square foot. How much, to the nearest dollar, will it cost to paint th
    14·1 answer
  • What is the inverse function of number 20 and how do you get the inverse?
    6·1 answer
  • ILL GIVE YOU BRAINLIEST
    12·1 answer
  • PLEASE HELP ME!!!
    10·1 answer
  • Hi, hiw do we do this question?​
    9·1 answer
  • Find the perimeter. Simplify your answer
    9·1 answer
  • If P(A) = 1/10 , find P(A)
    8·1 answer
  • 1 + (x + 44) = (1 + x) + 44 name the property
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!