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
marishachu [46]
3 years ago
5

Which of the following is the solution set of the given equation? 14 + 8m = 14 - 3m - 5m ∅ {0} {all reals}

Mathematics
2 answers:
andrezito [222]3 years ago
6 0

Answer:

{0}

Step-by-step explanation:

The given equation is

14+8m=14-3m-5m

We need to find the solution set of given equation.

Combine like terms on the right side of the given equation.

14+8m=14+(-3m-5m)

14+8m=14+(-8m)

14+8m=14-8m

Add 8m on both sides.

14+8m+8m=14-8m+8m

14+16m=14

Subtract 14 from both sides.

14+16m-14=14-14

16m=0

Divide both sides by 16.

m=\frac{0}{16}

m=0

Therefore, the solution set is {0}.

Yanka [14]3 years ago
4 0

Answer:

{0}

Step-by-step explanation:

14 + 8m = 14 - 3m - 5m

Combine like terms

14 + 8m = 14 - 8m

Add 8m to each side

14 +8m +8m = 14 -8m +8m

14 +16m = 14

Subtract 14 from each side

14-14 +16m = 14-14

16m = 0

Divide by 16

16m/16 = 0/16

m = 0

You might be interested in
Can someone explain me what “AT” means in these questions?
Radda [10]

Answer:

it means the value of x

Step-by-step explanation:

8 0
3 years ago
What can 6/9 be Simplified to
hoa [83]

Answer:

2/3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A mass of 5 kg stretches a spring 10 cm. The mass is acted on by an external force of 10sin( t ) N(newtons) and moves in a mediu
yKpoI14uk [10]

Answer:

A) C1 = 0.00187 m = 0.187 cm,  C2 = 0.0062 m = 0.62 cm

B)  A sample of how the graph looks like is attached below ( periodic sine wave )

C) w = \sqrt[4]{3} is when the amplitude of the forced response is maximum

Step-by-step explanation:

Given data :

mass = 5kg

length of spring = 10 cm = 0.1 m

f(t) = 10sin(t) N

viscous force = 2 N

speed of mass = 4 cm/s = 0.04 m/s

initial velocity = 3 cm/s = 0.03 m/s

Formulating initial value problem

y = viscous force / speed = 2 N / 0.04 m/s = 50 N sec/m

spring constant = mg/ Length of spring = (5 * 9.8) / 0.1 = 490 N/m

f(t) = 10sin(t/2) N

using the initial conditions of u(0) = 0 m and u"(0) = 0.03 m/s to express the equation of motion

the equation of motion = 5u" + 50u' + 490u = 10sin(t/2)

A) finding the solution of the initial value

attached below is the solution and

B) attached is a periodic sine wave replica of how the grapgh of the steady state solution looks like

C attached below

3 0
3 years ago
Slove algebraically<br><br>3x - 4y = -24<br>x +4y=8<br>​
Vanyuwa [196]

Solve algebrically 3x - 4y = -24 and x + 4y = 8 is x = -4 and y = 3

<u>Solution:</u>

We have been given two equations which are as follows:

3x - 4y = -24   ----- eqn 1

x + 4y = 8   -------- eqn 2              

We have been asked to solve the equations which means we have to find the value of ‘x’ and ‘y’.

We rearrange eqn 2 as follows:

x + 4y = 8

x = 8 - 4y  ------eqn 3

Now we substitute eqn 3 in eqn 1 as follows:

3(8 - 4y) -4y = -24

24 - 12y - 4y = -24

-16y = -48

y = 3

Substitute "y" value in eqn 3. Therefore the value of ‘x’ becomes:

x = 8 - 4(3)

x = 8 - 12  = -4

Hence on solving both the given equations we get the value of x and y as -4 and 3 respectively.

5 0
3 years ago
Find the inflation rate from 1992 to 1993 . Assume that all prices have risen at the same rate as the CPI.
Zinaida [17]

69,420

69,420

69,420

69,420

69,420

69,420

69,420

69,420

69,420

69,420

69,420

69,420|

69,420

7 0
3 years ago
Other questions:
  • How to solve this and find x and y variables.
    8·1 answer
  • Evaluate the expression 2x+ y when x = 3. y=1.​
    8·2 answers
  • Find the exact value of cos(arcsin( one fourth )). For full credit, explain your reasoning. (2 points)
    7·1 answer
  • A child ate 30 grams of cereal for breakfast and her brother ate 40% more than that. How many grams of cereal did the brother ea
    9·1 answer
  • JoAnn works in a publicity office at the state university. She is paid $13.50 an hour for the first 35 hours she works each week
    7·2 answers
  • LT 3.3 (I can use the Pythagorean Theorem and relationships with special right to
    6·1 answer
  • The cost of a school banquet is 64 + 14n, where n is the number of people attending. What is the cost for 67 people
    6·1 answer
  • Graph Data ALG 2 Please Help!
    15·1 answer
  • Please help! 10 POINTS!<br> Please solve<br><br> 2x^2+10+8=0
    5·1 answer
  • No links, an explanation, of who its done because I don't get it
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!