Answer:
The exponential model is
.
Step-by-step explanation:
The exponential model can be modelled by the following mathematical expression:
(1)
Where:
- Independent variable.
- Dependent variable.
- Coefficients.
If we know that
and
, then we get the following system of equations:
(2)
(3)
If we divide (3) by (2), we calculate the value of
:



And by (2), we determine the value of
:


The exponential model is
.
Since the two numbers vary directly, if Y is quadrupled, X will do the same. 2 times 4 is 8, 15 times 4 is 60.
X = 60.
Hope that helps!! :)
Answer:
YAY
Step-by-step explanation:
Answer:
Option (b) is correct.
The solution of the quadratic equation
is -7 and 3
Step-by-step explanation:
Consider the given quadratic equation
This can be rewritten as,
We can solve the quadratic equation using middle term splitting method,
4x can be written as 7x-3x , we get,
Taking terms common, we get,
Thus,
Thus, we get (x-3)= 0 or (x+7)= 0
this gives x = 3 or x = -7
Thus, the solution of the quadratic equation
is -7 and 3
Answer:
Step-by-step explanation:
Since the length of one of the longer sides, a, has been given to be 6.3, plug it into the equation.
2(6.3) + b = 15.7
12.6 + b = 15.7
b = 15.7 - 12.6
b = 3.1