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
Lyrx [107]
3 years ago
5

Simplify and solve each equation for the x

Mathematics
1 answer:
SpyIntel [72]3 years ago
8 0

Answer:

x = 2

Step-by-step explanation:

2(2x+1-x)=6

2(x+1)=6               add common factors

2x+2=6                distribute the 2

2x=4                     subrtract 2 on both sides

x=2                        divide 2 on both sides

You might be interested in
utorial Exercise A cylindrical tank with radius 4 m is being filled with water at a rate of 2 m3/min. How fast is the height of
SIZIF [17.4K]

Step-by-step explanation:

volume of a cylinder is

ground area × height = pi×r²×h

r = 4

what we need to calculate is how high the water stands with one "serving" of 2m³.

that height is then added every minute (with the additional 2m³ during that minute).

so,

2 = pi×4²×h = pi×16×h

2/16 = 1/8 = pi×h

h = (1/8) / pi = 1/(8pi) = 0.039788736... m

that is rounded about 0.04 m or 4 cm.

therefore, the water rises by 0.04 m or 4 cm per minute

0.04m/min

3 0
2 years ago
A 1 newton force will stretch a spring 1 meter. The spring/mass system is damped by a force that is 8 times the instantaneous ve
sukhopar [10]

Answer:

Step-by-step explanation:

Given the mass is m =16kg, and 1N force will stretch the spring 1 m.

That is, F =1N,Z =1m. Now find the spring constant k:

F = kL = 1 = k(1) = k= 1N/m.

The damping force is 8times the instantaneous velocity, this means β = 8,

and the external force is f(t) = 0

Initially the object compressed 0.6m above equilibrium position,

with the downward velocity is 2m/s.

The differential equation for a spring mass system with

damping force and extemal force is: mx" + βxt + kx = f(t).

so, 16x"+ 8x' + x= 0, x(0} = -0.6, x'(0)= 2m/s.

Now solve the DE:

The auxilary equation for the homogeneous equation is 16x"+8x'+x=0

solving we get, 16r² + 8r + 1 = 0 => (4r + 1)² = 0 => r = - 1/4.

Then the general solution for the homogenous system is: x(t)=c_1e^{-t/4} +c_2te^{-t\4}.

Use the initial conditions x (0) = -0.6, x'(0) = 2m/s:

x(0)=c_1e^{0} +c_2(0)e^{0}=-0.6=c_1\\x'(t)=-\frac{1}{4}c_1e^{-t/4}+c_2e^{-t/4}-\frac{1}{4}c_2te^{-t/4}\\x'(0)=-\frac{1}{4}c_1e^0+c_2e^0-\frac{1}{4}c_2(0)e^0=2=-\frac{1}{4}(-0.6)+c_2=c_2=1.85.

Hence, x(t) =-0.6e^{-t/4}+1.85te^{-t/4}.

5 0
3 years ago
Y=5x+3 which orderd pair works for the rule<br><br> A. (4,23)<br><br> B. (3,14)<br><br> C. (5,3)
gtnhenbr [62]
Y = 5x + 3
when x = 4
y = 5(4) + 3 = 23

Answer (4,23) 
4 0
3 years ago
What is the range of the given function?
tensa zangetsu [6.8K]

Answer:

{y | y = 9, 0, - 7, - 1}

Step-by-step explanation:

Range = y coordinates = {y | y = 9, 0, - 7, - 1}

6 0
2 years ago
PLEASE HELP ME ASAP!
AleksandrR [38]

Ok so first we find the equation that equals one variable.


2y = -x + 9

3x - 6y = -15


We solve for y.


2y = -x + 9

y = -x/2 + 9/2


Then we plug in this y value into the other equation to keep only one variable so we can solve for it.


3x - 6y = -15

3(-x + 9/2) - 6y = -15

-3x + 27/2 - 6y = -15

-9y + 27/2 = -15

-9y = 3/2

-y = 3/18

y = -3/18


Then we plug in this numerical y-value into the first equation which we found out by solving an equation for y.


y = -x/2 + 9/2

-3/18 = -x/2 + 9/2

-84/18 = -x/2

-x = 9 1/3

x = -28/3


Your answer would be (-28/3, -3/18)


Hope this helps!

6 0
3 years ago
Read 2 more answers
Other questions:
  • Helpppppppppppppppppppppppppppppppppppppppppppppppppppppp
    10·1 answer
  • help plz i need help i have asked but no one will help plz im begging do as many as u can show work or explain it s worth so man
    9·2 answers
  • For the given value of a , find - a and |a|
    15·1 answer
  • Which lists these numbers in order from least to greatest?
    14·1 answer
  • What is the answer? Solve 4 ⋅ (−6)
    8·1 answer
  • I need help!!!! Answer ASAP!!!!
    14·1 answer
  • Monica works in a clothing store. Her monthly pay is $800. She also receives 5% commission on all her sales. She had $35,748 in
    12·2 answers
  • HELP PLEASEEEEEEEEEEE
    6·1 answer
  • Given that the domain is all real numbers, what is the limit of the range for the function ƒ(x) = 42x - 100?
    15·1 answer
  • A salesperson makes a base salary of $15,000 per year plus a 8% commission on total sales for the year. The yearly salary can be
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!