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
Jlenok [28]
3 years ago
5

Are the equations lxl – 3 = 7 and [x] = 10 equivalent?

Mathematics
1 answer:
zvonat [6]3 years ago
5 0

They're not equivalent.

|x| (vertical bars) represents the absolute value of x. How it works is that it turns negative numbers positive but leaves 0 and positive numbers alone (hence it gets a number's distance from 0 on the number line).

[x] (square brackets) usually represents the floor function, which returns the largest integer that is less than or equal to x. (The floor of x can also be written as \lfloor x \rfloor --- it depends on what your textbook/source says).

To solve |x| - 3 = 7, you first transform it into the equivalent equation |x| = 10. Then by definition of absolute value, there are only two solutions for the first equation: x = 10 or x = -10.

[x] = 10 has infinitely many solutions. For example, the floor of 10 is 10, so [10] = 10, thus a solution for the second equation is x = 10

The floor of 10.1 is 10, so [10.1] = 10, thus another solution for the second equation is x = 10.1.

The two equations do not have the same solution set (as x = 10.1 does not solve |x| - 3 = 7 but solves [x] = 10), so they're not equivalent.

You might be interested in
In a company, there are 50 employees and some committees. If each employee belongs
Mrrafil [7]

Step-by-step explanation:

6x50

=300÷10

=30

Mark me brainliest !!!

7 0
2 years ago
Solve the system of equations<br> 3x + y = 3<br> x + y = 2
Pachacha [2.7K]

Answer:

(1/2, 3/2)

Step-by-step explanation:

solve the 1st variable in one of the equations and then substitute it and the result will be turned into the other equation.

4 0
3 years ago
Jsjbdiekek easy mathssss
aivan3 [116]

Answer: 6*x*y

Step-by-step explanation:

u have to do 2*3 first

7 0
3 years ago
Read 2 more answers
Question 13 (Essay Worth 8 points)
mixer [17]

9514 1404 393

Answer:

  geometric sequence

Step-by-step explanation:

The terms of the sequence have a common ratio of -12/3 = -4, so the sequence is geometric. The general term is ...

  an = 3(-4)^(n-1)

so the sum can be written as ...

  \displaystyle\sum_{n=0}^\infty3(-4)^n

(Note the summation starts at n=0, corresponding to a first term of 3.)

3 0
3 years ago
For the right triangle find the missing length. Round your answer<br> to the nearest tenth.
Brut [27]

Answer:

3.5

Step-by-step explanation:

tan60 = w/2

Multiply 2 on both sides to get the w by itself.

tan60 x 2 = w

Put tan60 into the calculator.

2 x 1.732050808 = w

Multiply.

w = 3.5

3 0
3 years ago
Read 2 more answers
Other questions:
  • Y = (1/4)x^2 - (1/2)lnx..over the interval (1, 7e) ...what is the arc length ?
    6·1 answer
  • What is a one step equation that equals 3
    11·1 answer
  • Find the volume please
    5·1 answer
  • If P = 4x^4 - 3x^3 + x² - 5x + 11 and Q = -3x^4 + 6x^3 - 8x² + 4x - 3, what is P - 2Q?
    5·1 answer
  • Find the cost for 812 kwhr of electricity at 7.3 cents per kwhr.
    7·1 answer
  • There are 180 students in the Theater Club at Jedi High School. Of these students, 117 are planning on attending the midnight sh
    7·1 answer
  • GIVING BRAINLIEST! EASY MATH!!
    6·2 answers
  • Find the value of 0 round to the nearest whole degree
    9·1 answer
  • The graph represents the height of a ball after being thrown versus time. Which statement is true? A. The ball attains a maximum
    15·1 answer
  • The predicted number of messages per person per day in 2019 is how many times the estimated number in 2015? (round your answer t
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!