Answer:
x=2
Step-by-step explanation:
Quotient means division
20/(x+3) =4
Multiply each side by (x+3)
(x+3)*20/(x+3) =4(x+3)
20 = 4(x+3)
Divide each side by 4
20/4 = 4(x+3)/4
5 = x+3
Subtract 3 from each side
5-3 = x+3-3
2 =x
Answer:
Step-by-step explanation:
a)
S=31000+1500Y
Where S is salary and Y is # of years
b)
Salary in 5 years;
=31000+1500(5)
=31000+7500
=38500
Answer:
Exponential Decay
Step-by-step explanation:
Because 7/8 is less than 1, it is exponential decay
Answer:
x = -3
Step-by-step explanation:
The line parallel to x=8 is another vertical line:
x = constant
To make it go through a point with an x-coordinate of -3, the constant must be -3.
Your line is ...
x = -3
Answer:
The solution of the given initial value problems in explicit form is and the solutions are defined for all real numbers.
Step-by-step explanation:
The given differential equation is
It can be written as
Use variable separable method to solve this differential equation.
Integrate both the sides.
... (1)
It is given that y(1) = -2. Substitute x=1 and y=-2 to find the value of C.
The value of C is -2. Substitute C=-2 in equation (1).
Therefore the solution of the given initial value problems in explicit form is .
The solution is quadratic function, so it is defined for all real values.
Therefore the solutions are defined for all real numbers.