Answer:
24
Step-by-step explanation
The question just ask to subtract 18 from 42 which would = 24.
The general solution of the given higher-order differential equation. y''' − 9y'' 15y' 25y = 0 is Y= c1e^-x +c2e^5x + c3xe^5x
m^3 -9m^2+15m+25=0
Possible rational roots = 1,-1,5,-5,25
Now on putting these possible rational roots which have been found by the discriminant and hit and trial method,
we will check these roots.
m=-1 comes out to be a root of the equation.
m^2-10m+25=0
(m-5)(m+5)=0
(m-5)^2=0
m=5
So the general equation comes out to be
Y= c1e^-x +c2e^5x + c3xe^5x
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Answer:
<u>The correct answer is x = 5 2/3 - 7 2y/3</u>
Step-by-step explanation:
1. Let's solve the equation for x
3x + 23y = 17
3x = 17 - 23y (Subtracting 23y at both sides)
3x/3 = 17/3 - 23y/3 (Dividing by 3 at both sides)
x = 17/3 - 23y/3
2. Proof of 17/3 - 23y/3 as the value of x
3x + 23y = 17
3(17/3 - 23y/3) + 23y = 17 (Multiplying the values inside the parenthesis)
17 - 23y + 23y = 17
<u>17 = 17</u>
<u>It has been proved that x = 17/3 - 23y/3</u>
<u>3. </u>However we can simplify
17/3 - 23y/3
<u>5 2/3 - 7 2y/3</u>
<u>There isn't a system of equations that will allow us to find y</u>
Answer:
<h2>The domain is all real values of x except
.</h2>
Step-by-step explanation:
The function, 
.
g(x) = 5x - 4.
Hence, (f circle g) (x) = 
.
We need to find the domain of (f circle g) (x) .
The domain means the set of values of x, for which we will get a real value of (f circle g) (x).
The function will not give a real value when, 5x - 4 = 0 that is 
.
Hence, the domain of the function will be all real values of x rather than .
