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
We know that
3 3/8-------------> (3*8+3)/8-----------> 27/8 yd
if 1 dress take---------------> 27/8 yd
X-----------------------------> 3375 yd
X=3375/(27/8)---------> x=1000 dresses
the answer is
He can make 1000 dresses
Profit = revenue - expenses
12000 = 12x - (7.50x + 10,000)
12,000 = 12x - 7.50x - 10,000
12,000 + 10,000 = 4.5x
22,000 = 4.5x
22,000 / 4.5 = x
4888.88 rounds to 4889 = x......4889 baseballs
Answer:
3+5n=5(n+2)-7*
We move all terms to the left:
3+5n-(5(n+2)-7*)=0
We calculate terms in parentheses: -(5(n+2)-7*), so:
5(n+2)-7*
We add all the numbers together, and all the variables
5(n+2)
We multiply parentheses
5n+10
Back to the equation:
-(5n+10)
We get rid of parentheses
5n-5n-10+3=0
We add all the numbers together, and all the variables
-7!=0
There is no solution for this equation
Step-by-step explanation:
Answer:
-686
Step-by-step explanation:
2 x -343 = -686
