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Olegator [25]
3 years ago
10

Please hurry. Thank you in advance

Mathematics
1 answer:
frez [133]3 years ago
5 0

Answer:

The value of x in this equation is -23

Step-by-step explanation:

The given equation is:

-x-8 = 15

The given equation is a linear equation in one variable. The solution of the equation requires isolating x on one side of the equation.

Properties of equality will be used to find the solution.

Using Addition property of equality

Adding 8 on both sides

-x-8+8 = 15+8\\-x = 23

Multiplication property of equality

Multiplying both sides by -1

x = -23

Verification:

-x-8 = 15\\-(-23)-8 = 15\\23-8 = 15\\15 = 15

Hence,

The value of x in this equation is -23

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D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x
MA_775_DIABLO [31]
The solution depends on the value of k. To make things simple, assume k>0. The homogeneous part of the equation is

\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0

and has characteristic equation

r^2-16k=0\implies r=\pm4\sqrt k

which admits the characteristic solution y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}.

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be y_p=ae^{4x}+be^x. Then

\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x

So you have

16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x
(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x

This means

16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}
b(1-16k)=30\implies b=\dfrac{30}{1-16k}

and so the general solution would be

y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x
8 0
3 years ago
Any answers or suggestions
laila [671]
I did problems like that by marking the coordinates. For example it says A was at (2.3), so you’d go over 2 and up 3. Then you’d do the same for points B and C. After that you would connect the dots with lines, and it would show that both triangles are the same size meaning that it couldn’t be a dilation, since that would make the triangle be either bigger or smaller in size. The triangles would be facing the same direction, so it couldn’t be reflected over anything or rotated. The answer would be D) translation, because the image of the triangle was translated to the right 2 and up 2 for all of the points.
6 0
4 years ago
6n − 2(4n + 7) + 4 = -2
vodomira [7]

Answer:

n = -4

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 ((6n -  2 • (4n + 7)) +  4) -  -2  = 0

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  -2n - 8  =   -2 • (n + 4)

Equation at the end of step  3  :

 -2 • (n + 4)  = 0

Step  4  :

Equations which are never true :

4.1      Solve :    -2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2      Solve  :    n+4 = 0

Subtract  4  from both sides of the equation :

                     n = -4

One solution was found :

                  n = -4

Processing ends successfully

plz mark me as brainliest if this helped :)

4 0
4 years ago
If M is the midpoint of segment XY, find the coordinates of X if M is at (-3,-1) and Y is at (-8,6). Write your answer as
kotykmax [81]

Answer:

The co ordinates are (2,-8)

4 0
3 years ago
Bianca wrote the steps for her solution to the equation 2.3 + 8(1.3x – 4.75) = 629.9. She left out the description for the last
vaieri [72.5K]
2.3+8(1.3x-4.75)=629.9
2.3+10.4x-38=629.9
-35.7+10.4x=629.9
10.4x=665.6
x=64

The last step was --> D. Divide both sides of the equation by 10.4
6 0
4 years ago
Read 2 more answers
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