Equation in words: eight more than a certain number, divided by six equals twenty seven
2 answers:
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Ok, so this one requires you to set up an equation that makes sense....(mr. Smith + mr. Harry)/2= 489...that is the average money from the problem....ok so let’s add some variables now and make it look like math. 2x is mr smith from the first sentence. X is mr. Harry. This yields
(2x+x)/2=489.....use inverse operations to yield
2x+x=978
Combine like terms to get
3x=978
Then divide by 3
To give you x=326
What does x tell you?
X= harry = 326
2x = Smith = 652
To check add them together and divide by 2 to get the average....489
(2x+x)/2=489.....use inverse operations to yield
2x+x=978
Combine like terms to get
3x=978
Then divide by 3
To give you x=326
What does x tell you?
X= harry = 326
2x = Smith = 652
To check add them together and divide by 2 to get the average....489
Answer:
Step-by-step explanation:
given,
y′′ + 4 y = 4 x
D² y + 4 y = 4 x
(D²+4) y = 4 x
now, writing Auxiliary equation
m² + 4 = 0
m² = -4
m = ± 2 i
now, complimentary function
a = 0 , b = 2
particular integral (y_p)
y_p = a x
y'_p = a
y"_p = 0
now,
y′′+ 4 y = 4 x
0+ 4 (a x )= 4 x
4 a x = 4 x
a = 1
now,
y_p = x
now, general equation