Chapter 1.2, Problem 37P

Evaluate each expression for the given values of the variables.

$3.5\left[h^3-{\left(\frac{3j}{6}\right)}^2\right];h=3,j=-4$

To determine

To evaluate the following expression wa $3.5\left[h^3-{\left(\frac{3j}{6}\right)}^2\right]$ at the given variables $h=3$ and $j=-4$ .

Answer to Problem 37P

  $\text{108}\text{.5}$

Explanation of Solution

Given:

Consider the expression $3.5\left[h^3-{\left(\frac{3j}{6}\right)}^2\right]$

Calculations:

Substitute $h=3$ and $j=-4$ into the expression $3.5\left[h^3-{\left(\frac{3j}{6}\right)}^2\right]$ and solve:

  $\begin{array}{c}3.5\left[h^3-{\left(\frac{3j}{6}\right)}^2\right]=3.5\left[{\left(3\right)}^3-{\left(\frac{3\left(-4\right)}{6}\right)}^2\right]\\ =3.5\left[27+{\left(\frac{3\times 4}{6}\right)}^2\right]\\ =3.5\left[27+{\left(2\right)}^2\right]\\ =3.5\left[27+4\right]\\ =3.5\times 31\\ =\text{108}\text{.5}\end{array}$