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
romanna [79]
3 years ago
13

Indicate whether each of the following equations is sure to have a solution set of all real numbers. Explain your

Mathematics
1 answer:
zlopas [31]3 years ago
4 0

Answer:

a) 0 = -2 is not a valid equality. So a) will not have a solution set of all real numbers.

b) 0 = 0 is a valid equality for all real numbers. So b) will have a solution set of all real numbers.

c) 0 = 0 is a valid equality for all real numbers. So c) will have a solution set of all real numbers.

d) 24x^{3} = 72x^{3} is only valid for x = 0. So d) will not have a solution set of all real numbers.

Step-by-step explanation:

a)

3(x+1) = 3x + 1

3x + 3 = 3x + 1

3x - 3x = 1 - 3

0 = -2

0 = -2 is not a valid equality. So a) will not have a solution set of all real numbers.

b)

x + 2 = 2 + x

x - x = 2 - 2

0 = 0

0 = 0 is a valid equality for all real numbers. So b) will have a solution set of all real numbers.

c)

4x(x+1) = 4x + 4x^{2}

4x^{2} + 4x = 4x + 4x^{2}

4x^{2} - 4x^{2} = 4x - 4x

0 = 0

0 = 0 is a valid equality for all real numbers. So c) will have a solution set of all real numbers.

d)

3x(4x)(2x) = 72x^{3}

24x^{3} = 72x^{3}

This is only valid for x = 0. So d) will not have a solution set of all real numbers.

You might be interested in
Yi Ting weighs 8.3 kg kilograms her older brother is four times as heavy as Yi Ting how much does her older brother weigh in kil
dexar [7]
8.3*4 = 33.2 kg.
Hopefully that is correct
Since Yi Ting weighs 8.3 and her brother is 4 times heavier you would multiply those two numbers to get the answer.
3 0
3 years ago
X^2-11x+30=2 <br> Solve using quadratic formula or factoring
Pavel [41]
X^2-11x+28=0

(x-7)(x-4)=0

x-7=0
x=7

x-4=0
x=4
7 0
3 years ago
HELP !! im going to post a picture of this math problem . i need an answer and explanation asap ..
Diano4ka-milaya [45]
The 3rd one is the correct answer
3 0
3 years ago
HELP PLEASE <br>Use greater than, equal to =, or less than sign to compare<br> 2/3 and 1/6
lana [24]

Answer:

2/3 < 1/6

Step-by-step explanation:

hope this helps

3 0
3 years ago
Read 2 more answers
5/9 rounded to the nearest half?
Archy [21]

0.6.

5/9 = 0.5555555... which rounds to 0.6

6 0
3 years ago
Other questions:
  • HELP PLEASE!!!!!!!!
    10·1 answer
  • What is the square root of 75 in simplest form
    13·1 answer
  • in a given year, residents of a country spent approximately $54.7 billion on their pets. Of this amount, $17.6 billion wa for ve
    5·1 answer
  • A function f(x)f(x) is graphed on the coordinate plane.
    8·1 answer
  • {(-3, 2), (-2, 2), (1, 2), (-3, 1), (0, 3)}<br> Dom:<br> Range:<br> Function?
    7·1 answer
  • Given: HF = HJ.FG = JK.<br> H is the midpoint of GK.<br> Prove: AFGH 2 AJKH<br> G<br> H<br> K
    11·1 answer
  • What is the sign of the product (-5)(-3)(-8)(-6)? (5 points)
    10·2 answers
  • Brandon is playing hide-and-seek with Katy and Tony. Katy is hiding 63 feet south of Brandon, and Tony is hiding due east of Kat
    7·1 answer
  • Find the Total surface area
    6·1 answer
  • Which of the following best describes the graph below?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!