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
mojhsa [17]
3 years ago
14

Solve the equation 3|2x-1|+2=17

Mathematics
1 answer:
Vsevolod [243]3 years ago
3 0

Answer:

the solutions are {-2, 3}

Step-by-step explanation:

First combine the constants 2 and 17:

3|2x-1|+2=17 => 3|2x - 1| = 15

Next, divide both sides by 3.  We get:

3|2x - 1| = 15 => |2x - 1| = 5

We want to solve for x, so divide all three terms by 2 as follows:

|x - 1/2| = 5/2

This equation has two solutions.  We regard 1/2 as the "center."  The equation tells us that x is either 5/2 greater than this 1/2 or 5/2 smaller:

x = 1/2 + 5/2 = 6/2,  or  x = 3

and:

x = 1/2 - 5/2 = -4/2 = -2

Thus, the solutions are {-2, 3}

You might be interested in
Identify the like terms.
lesya [120]
C! Like terms refer to the variables that are the same, rather than the coefficients (the numbers).
3 0
3 years ago
F(x) = 17x2 - 9x, g(x) = 12x - 9;Find (f ∘ g)(11).
Schach [20]
C. 23,487 is the correct answer
4 0
3 years ago
How many solutions does the following equation have? -3z + 9 -2z = -12 - 5z
asambeis [7]
This has no solutions
4 0
3 years ago
Select all the true statements. *
I am Lyosha [343]
A,C,D are the answers
8 0
3 years ago
Simplify to create an equivalent expression.<br> −2(−5n+6)+5(2−7n)
a_sh-v [17]
The first step is to distribute:
(10n-6) + (10-35n)
Second step is to combine like terms:
(25n+4)
Answer: (25n+4)
7 0
3 years ago
Read 2 more answers
Other questions:
  • Write the equation of a line that is perpendicular to the line that passes through (4,−3)and (−7,8).
    10·1 answer
  • The endpoints of GE are located at G(–6, –4) and E(4, 8). Using slope-intercept form, write the equation of GE.
    11·1 answer
  • :))))) Select the answer that correctly orders the set of numbers from greatest to least.
    7·1 answer
  • A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled. Each box of cereal is supposed to
    13·1 answer
  • Please help, I’m absolutely stuck
    15·1 answer
  • 7x-4=5x+15 solve the following equation
    8·1 answer
  • Let f(x)=-2x+6 and g(x)=10x-8<br><br><img src="https://tex.z-dn.net/?f=%5Cfrac%7Bf%7D%7Bg%7D%20%28-3%29" id="TexFormula1" title=
    14·1 answer
  • I need help with this Geometry problem
    10·1 answer
  • What is the solution of the quadratic equation.<br> Equation: 2x + 7x - 5= 10
    15·1 answer
  • How many days in 4 years?<br><br> Answer: 1461
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!