Answer:
10x^2 -18
Step-by-step explanations
since f(x) is becoming the new x then youd subtitute the equation into the x of the g(x) equation. which would be 5(2x^2 -5) +7 which is 10x^2 -25 +7.and you'd simplify from there.
Answer:
In scientific notation itll be 1.5288e+14
Step-by-step explanation:
Multiply light year equation times how many light years vega is from earth (26)
Answer:
x = 9
Step-by-step explanation:
7x - 1 = 62
add on to each side and you get 7x = 63
divide both sides by seven to get x = 9
Answer:
6 miles per hour
Step-by-step explanation:
I divided 2 1/2 miles by 5/12 hour and got 6 miles per hour
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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