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
Gala2k [10]
3 years ago
14

Solve for x: |3x-1|=4

Mathematics
1 answer:
Rashid [163]3 years ago
5 0

Answer:

x = 5/3  x= -1

Step-by-step explanation:

|3x-1|=4

There are two solutions to the absolute value equation, one positive and one negative

3x-1 =4  and 3x-1=-4

Add 1 to each side

3x-1+1 = 4+1   3x-1+1 = -4+1

3x=5             3x = -3

Divide by 3

3x/3 = 5/3     3x/3 = -3/3

x = 5/3  x= -1

You might be interested in
Sample Work Help Needed! Please answer these questions and show the steps used to solve them. NO DECIMAL ANSWERS (except on thre
anygoal [31]

1. Using the exponent rule (a^b)·(a^c) = a^(b+c) ...

\left(-2x^3y^4\right)\left(5x^9y^{-2}\right)=(-2)(5)\left(x^{(3+9)}y^{(4-2)}\right)\\\\=-10x^{12}y^{2}

Simplify. Write in Scientific Notation

2. You know that 256 = 2.56·100 = 2.56·10². After that, we use the same rule for exponents as above.

8 \left(32\times 10^{11}\right)=(8)(32)\times 10^{11}=256\times 10^{11}=2.56\times 10^{13}

3. The distributive property is useful for this.

(3x – 1)(5x + 4) = (3x)(5x + 4) – 1(5x + 4)

... = 15x² +12x – 5x –4

... = 15x² +7x -4

4. Look for factors of 8·(-3) = -24 that add to give 2, the x-coefficient.

-24 = -1×24 = -2×12 = -3×8 = -4×6

The last pair of factors adds to give 2. Now we can write

... (8x -4)(8x +6)/8 . . . . . where each of the instances of 8 is an instance of the coefficient of x² in the original expression. Factoring 4 from the first factor and 2 from the second factor gives

... (2x -1)(4x +3) . . . . . the factorization you require

8 0
3 years ago
Which linear inequality is represented by the graph?
Virty [35]
The answer is the third one down because y moves up 1/3 and it’s 2 away from each even number
7 0
3 years ago
Triangle ABC and Triangle DEF are similar. Find the unknown measures. (t = ? and u = ?)
Marianna [84]
T= 60°


It is an equilateral triangle which means all sides and angles are equal


u= 10m

It is an equilateral triangle which means all sides and angles are the same


4 0
3 years ago
Select all the equations that are equivalent to this equation.<br> 1/4 (8X + 56) = 20<br> 56 + 8X = 80<br> 14 = 20 – 8x<br> 2X +
Leya [2.2K]
1/4(8x+56)=20
1/4(8x)+1/4(56)=20
2x+14=20
2x=20-14
2x=6
X=3
3 0
2 years ago
(6+2) +5 = 6+ (2+5)<br> State the property described each problem
Tanzania [10]

Answer:

Associative property - addition

Step-by-step explanation:

When three or more numbers are added, the sum is the same regardless of the way in  which the numbers are grouped.

(6+2) + 5 = 6 + (2+5)

8 + 5 = 6 + 7

13 = 13

7 0
3 years ago
Other questions:
  • Using the slope intercept form of a line find the equation of the line with slope 3/2 and y-intercept -2. Then graph the line on
    15·1 answer
  • You sell instruments at a Caribbean music festival. You earn $326 by selling 12 sets of maracas, 6 sets of claves, and x djembe
    12·1 answer
  • Suppose you fill a glass with ice cubes .When the ice cubes melt, is the glass still full ?
    15·1 answer
  • Tom is 8 years older than jane. five yeara ago tom was three times as old as jane. how old is jane now?
    14·1 answer
  • Find the area of the figure.
    11·1 answer
  • 5. Use the equation shown to answer a-b.
    10·1 answer
  • Simplify: (4x2 − 8xy + 2y2) − (9x2 − 4xy − 7y2)
    8·2 answers
  • Please help me with the problem below thanks
    15·1 answer
  • Is the function increasing or decreasing over the interval (-3,-1)? Explain.
    8·2 answers
  • A male leopard seal is measured and has a length of 2.8 meters. A male elephant seal is about 1.5 times as long. What length is
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!