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
lord [1]
3 years ago
11

Determine whether the statement is always true, sometimes true, or never true. Give an example. (a) Both sides of an equation ca

n be multiplied by the same number without changing the solution of the equation. (b) Both sides of an inequality can be multiplied by the same number without changing the solution set of the inequality. When do you put the brackets on the graph of a solution set
Mathematics
1 answer:
arsen [322]3 years ago
5 0

Answer:

(A) Always true

(B) Seldom true

Step-by-step explanation:

(A) Both sides of an equation can be multiplied by the same number without this action changing the solution of the equation.

Keyword here is "number".

Multiplying both sides of an equation by an equal quantity (same number) will result in same solution after solving for the unknown in the equation. This is because that numeric quantity can always be removed by dividing both sides of the equation by it or by a factor (or multiple) of it.

EXAMPLE:

For a linear equation, 4x - 6 = 15x

let's find the solution, in other words solve for the unknown value X.

4x - 15x = 6

-11x = 6

x = -6/11

Now multiply both sides of the equation by 3.

3(4x - 6) = 3(15x)

12x - 18 = 45x   ___new equation

Solve for X

12x - 45x = 18

-33x = 18

x = -18/33

Reduce the fraction to its simplest form by looking for a number that can divide both numerator and denominator without remainder. In other words, think of a number that is a factor of 18 and a factor of 33.

That common factor or highest common factor (HCF) is 3.

Go ahead and reduce the fraction.

x will be reduced to -6/11

(B) Both sides of an inequality can seldom be multiplied by the same number, without such action changing the solution set of the equation.

Inequalities are more complex. Operational signs even change sometimes, in the course of finding the solution set of the inequality.

Sometimes, multiplying both sides of an inequality by a given numeric quantity will change its solution set and sometimes, it won't.

You might be interested in
What does this symbol means *
m_a_m_a [10]

Answer:

it's a star

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
The vertices of quadrilateral E F G H are E (-7,3) , F (-4,6) , G (5, -3) , and H (2,-6). What kind of quadrilateral is E F G H?
Norma-Jean [14]

Answer:

square

Step-by-step explanation:

The opposite angles are congruent, the diagonals bisect each other, the opposite sides are parallel, the diagonals bisect the angles

7 0
3 years ago
Read 2 more answers
What is the decimal for 2 7/10?
Archy [21]

Answer: 2.7 is the decimal for 2 7/10

4 0
3 years ago
Read 2 more answers
Please Answer And Show work please!!!!!
Murljashka [212]

Answer:

si lan varlgo 2x4x4x2.5

Step-by-step explanation:

la nidra si margo

8 0
3 years ago
Read 2 more answers
Lucia has 3.5 hours left in her workday as a car mechanic. Lucia needs 1/2 of an hour to complete one oil change.
MatroZZZ [7]

Answer: So Lucía has 3.5 hours left, and need 1/2 of an hour (or 0.5 hours) to do one oil change.

a) If you divide the total time she has by the time she needs for each oil change, then you got the total number of oil changes that she can do in that time; this is:

3.5/0.5 = 7

So she can do 7 oil changes in 3.5 hours.

b) If she can complete two car inspections in the same amount of time it takes her to complete one oil change, then she can do two car inspections in 0.5 hours.

2*car inspections = 0.5 hours

car inspection = (0.5/2) hours

then one car inspection will take 0.5/2 = 0.25 hours.

c) Two ways to solve this:

1) Do the same that we did in a), this is: 3.5/0.25 = 14

she can do 14 car inspections.

2) If in 3.5 hours, she can do 7 oil changes, and in the time she does an oil change, she can do two car inspections, then in 3.5 hours she can do 7*2 car inspections, and 7*2 = 14

5 0
3 years ago
Read 2 more answers
Other questions:
  • How many ancestors did you have 300 years ago? 900 years ago?
    15·1 answer
  • Simplify 12 to the 16th power over 12 to the 4th power.
    12·1 answer
  • Among the following, a perfect number a) 6 b)28 c) 625 d) 100​
    13·2 answers
  • Which one of the following fractions is equivalent to 1/2 a. 1/4 b. 2/4 c. 1/8 d. 2/8
    12·2 answers
  • Consider the functions f(x) = 5x – 2, g(x) = 5x² + 2 and r(x) = –2x + 4.
    13·2 answers
  • THIS ONE ALSO THANKS
    9·2 answers
  • Which is the correct answer?​
    10·1 answer
  • Plzzzz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
    5·1 answer
  • Please help me with this
    5·1 answer
  • Question 1
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!