Question

1)Write the following statement as a mathematical expression.
2)State whether the expression is a linear or nonlinear expression in x.

four times a number subtracted from the product of nine and the reciprocal of a number​

Answer 1

Answer:

1. Let the number be x.

Product of 9 and x

$9( \frac{1}{x})$

Product of 4 and x

4x

$9( \frac{1}{x} ) - 4x$

$\frac{9}{x} - \frac{4 {x}^{2} }{x}$

$\frac{ 9 - 4 {x}^{2} }{x}$

2. It is non-linear as it has a power of variable higher then 1.