Substitue x=30 into each of these expressions and find the range of your answers. x^2 25x-80 10000-14x 2500+17x (180000)/(x)

To find the range of the given expressions when $x=30$, we need to substitute the value of $x$ into each expression and evaluate the resulting values.<br /><br />1. $x^{2}$:<br />Substituting $x=30$, we get $30^{2} = 900$.<br />The range of this expression is the set of positive real numbers, as the square of any non-zero real number is positive.<br /><br />2. $25x-80$:<br />Substituting $x=30$, we get $25(30)-80 = 750-80 = 670$.<br />The range of this expression is the set of real numbers, as it is a linear expression with a non-zero coefficient for $x$.<br /><br />3. $10000-14x$:<br />Substituting $x=30$, we get $10000-14(30) = 10000-420 = 9640$.<br />The range of this expression is the set of real numbers, as it is a linear expression with a non-zero coefficient for $x$.<br /><br />4. $2500+17x$:<br />Substituting $x=30$, we get $2500+17(30) = 2500+510 = 3010$.<br />The range of this expression is the set of real numbers, as it is a linear expression with a non-zero coefficient for $x$.<br /><br />5. $\frac{180000}{x}$:<br />Substituting $x=30$, we get $\frac{180000}{30} = 6000$.<br />The range of this expression is the set of positive real numbers, as the division of a positive number by a non-zero real number is positive.<br /><br />Therefore, the range of the given expressions when $x=30$ is:<br />- $x^{2}$: Positive real numbers<br />- $25x-80$: Real numbers<br />- $10000-14x$: Real numbers<br />- $2500+17x$: Real numbers<br />- $\frac{180000}{x}$: Positive real numbers