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
zhenek [66]
3 years ago
8

12(x+9)=-108 solve for x

Mathematics
2 answers:
KonstantinChe [14]3 years ago
4 0
The answer would be -18
pickupchik [31]3 years ago
3 0
Hello
X+9=-9
X=-18
so x=-18
You might be interested in
y=c1e^x+c2e^−x is a two-parameter family of solutions of the second order differential equation y′′−y=0. Find a solution of the
vagabundo [1.1K]

The general form of a solution of the differential equation is already provided for us:

y(x) = c_1 \textrm{e}^x + c_2\textrm{e}^{-x},

where c_1, c_2 \in \mathbb{R}. We now want to find a solution y such that y(-1)=3 and y'(-1)=-3. Therefore, all we need to do is find the constants c_1 and c_2 that satisfy the initial conditions. For the first condition, we have:y(-1)=3 \iff c_1 \textrm{e}^{-1} + c_2 \textrm{e}^{-(-1)} = 3 \iff c_1\textrm{e}^{-1} + c_2\textrm{e} = 3.

For the second condition, we need to find the derivative y' first. In this case, we have:

y'(x) = \left(c_1\textrm{e}^x + c_2\textrm{e}^{-x}\right)' = c_1\textrm{e}^x - c_2\textrm{e}^{-x}.

Therefore:

y'(-1) = -3 \iff c_1\textrm{e}^{-1} - c_2\textrm{e}^{-(-1)} = -3 \iff c_1\textrm{e}^{-1} - c_2\textrm{e} = -3.

This means that we must solve the following system of equations:

\begin{cases}c_1\textrm{e}^{-1} + c_2\textrm{e} = 3 \\ c_1\textrm{e}^{-1} - c_2\textrm{e} = -3\end{cases}.

If we add the equations above, we get:

\left(c_1\textrm{e}^{-1} + c_2\textrm{e}\right) + \left(c_1\textrm{e}^{-1} - c_2\textrm{e}  \right) = 3-3 \iff 2c_1\textrm{e}^{-1} = 0 \iff c_1 = 0.

If we now substitute c_1 = 0 into either of the equations in the system, we get:

c_2 \textrm{e} = 3 \iff c_2 = \dfrac{3}{\textrm{e}} = 3\textrm{e}^{-1.}

This means that the solution obeying the initial conditions is:

\boxed{y(x) = 3\textrm{e}^{-1} \times \textrm{e}^{-x} = 3\textrm{e}^{-x-1}}.

Indeed, we can see that:

y(-1) = 3\textrm{e}^{-(-1) -1} = 3\textrm{e}^{1-1} = 3\textrm{e}^0 = 3

y'(x) =-3\textrm{e}^{-x-1} \implies y'(-1) = -3\textrm{e}^{-(-1)-1} = -3\textrm{e}^{1-1} = -3\textrm{e}^0 = -3,

which do correspond to the desired initial conditions.

3 0
3 years ago
Meg wants to find hie nany phones the company activated in one minute explain why meg can use 15000 divided by 50 to
Gemiola [76]

Answer:

300 phones the company activated in one minute

As per unitary method, calculation been done to find the value of single unit  from the value of multiple units.

So, she is dividing the total number of phone activated by number of minutes taken to activate to find phone activate in one minute.

Step-by-step explanation:

Here is the correct question: Meg wants to find how many phones the company activated in one minute. Explain why meg can use 15000 divided by 50 to  find the answer.

As per unitary method, calculation been done to find the value of single unit  from the value of multiple units.

Therefore, in the above question Meg knew the number of total phone activated by company in 50 minutes, which is 15000.

Now, she want to find how many phones the company activates in one minute.

So, she is dividing the total number of phone activated by number of minutes taken to activate to find phone activate in one minute.

Phones the company activated in one minute= 15000\div 50= 300\ phones

∴ 300 phones the company activated in one minute.

4 0
3 years ago
Find the equation of the linear relationship... HELP PLZZZ ASAP
astraxan [27]

Answer:

y=140-10x is what i got as my answer

4 0
3 years ago
Is (3, 9) a solution of the system y = 3x and 2x – y = 6?
otez555 [7]

Answer:

No, (3, 9) is not a solution of the system.

Step-by-step explanation:

y=3x

2x-y=6

-----------

3(3)=9

2(3)-9=6-9=-3, not 6

5 0
3 years ago
At Black Horse Junior School there were altogether 394 teachers and children. The teachers and the boys numbered 189, and the gi
Simora [160]
X - teachers
y - boys
z - girls

x+y+z=394\\ x+y=189\\ x+z=217\\\\ x+y+z=394\\ 
y=189-x\\
z=217-x\\\\
x+189-x+217-x=394\\
-x=-12\\
x=12\\\\
y=189-12\\
y=177\\\\
z=217-12\\
z=205

5 0
3 years ago
Other questions:
  • Relationship A has a greater rate than Relationship B. This table represents Relationship B.
    8·2 answers
  • Translate each phrase into a mathematical expression
    6·1 answer
  • (1,6) and (9,14) standard form
    13·1 answer
  • What is the number written in standard notation?
    7·2 answers
  • Solve x + 2y = 13 <br> 4x + 8y = −9 (1 point)
    8·2 answers
  • Simplifying radicals <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B20m%20%7B%7D%5E%7B4%7D%20%7D%20n%20%7B%7D%5E%7B3%7D%20"
    12·1 answer
  • Can someone please help me i will give brainliest
    14·1 answer
  • √4x-4=√5x-1−1.<br> there's 2 answers apparently
    9·1 answer
  • Find the total amount in the compound interest account.
    7·1 answer
  • Select all figures that can be proven to be parallelograms by the markings in the diagram. explain answer ​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!