Answer:
y(x) = 7e^(5x)
Step-by-step explanation:
The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that
dy/dx = 5y
Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)
Using the above stated law now, we can relate to our equation, saying that
y(x) = y(0) e^(5x)
The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have
y(x) = 7e^(5x)
And that is our needed equation of the curve
Answer:
Gaby scored 27 points.
Step-by-step explanation:
First, you have to find 3/5 of both of the numbers.
What I did was I found 1/5 of each number and multiplied it by 3.
25/5=5, so 1/5 of 25 is 5. 5(3)= 15, so Gaby scored 15 points in the first game.
20/5= 4, so 1/5 of 20 is 4. 4(3)= 12, so Gaby scored 12 points in the second game.
Finally, add 15+12, which equals 27 :).
Answer:
x = 7
Step-by-step explanation:
since we know y = 4, we can plug this into the equation to find x
8x - 2y = 48
8x - 2(4) = 48
8x - 8 = 48
8x = 56
x = 7
