The statement "<span>The rate of change of y with respect to x is inversely proportional to y^4" can be written mathematically as dy/dx = k/y^4
To solve the differential equation, we use variable saparable method.
y^4 dy = kdx
Integrating both sides gives,
y^5 / 5 = kx + A
y^5 = 5kx + 5A = Bx + C; where B = 5k and C = 5A
![y= \sqrt[5]{Bx+C}](https://tex.z-dn.net/?f=y%3D%20%5Csqrt%5B5%5D%7BBx%2BC%7D%20)
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Answer: the system of equations are
3x + 2y = 170
4x + 6y = 360
Step-by-step explanation:
Let x represent the price of a child's ticket in dollars.
Let y represent the price of an adult's ticket in dollars.
The Brown family paid 170 for 3 children and 2 adults. This would be expressed as
3x + 2y = 170
The Peckham family paid 360 for 4 children and 6 adults. This would be expressed as
4x + 6y = 360
Answer:
32 magazines
Step-by-step explanation:
If x is the number of subscriptions in December, then the number in January is x-7.
The relationship between the average price of magazines in the two months is ...
80/(x-7) -80/(x) = 0.70 . . . . . . . . .Jan price - Dec price = 0.70
80(x) -80(x -7) = 0.70(x)(x-7) . . . . multiply by the denominators
0.7x^2 -4.9x +560 = 0 . . . . . . . . put in standard form
x^2 -7x +800 = 0 . . . . . . . . . . . . . divide by 0.7
(x -32)(x +25) = 0 . . . . . . . . . . . . . factor
The product is zero when one of the factors is zero. x=32 or -25. The sensible solution for this problem is x=32.
The school library subscribed to 32 magazines in December.
Answer:ITS A
Step-by-step explanation:
SAS: side angle side
SSA: is not a congruence theorem
AAS:angle angle side
SSS:side side side
