Question

suppose that $r = 2$, $t=-3$, $u = 0$, and $w=-6$. evaluate each of the following expressions.
a. $t(3r - 2w)=-54$
b. $w^{2}-24 + u=
c. $8-\frac{t}{rcdot w}=
d. $r^{3}+u^{2}-r = 6$
points possible: 2
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Explanation:

Step1: Substitute values for b

Substitute \(w = - 6\) and \(u = 0\) into \(w^{2}-24 + u\). So we have \((-6)^{2}-24+0\).

Step2: Calculate power and sum

\((-6)^{2}=36\), then \(36-24 + 0=12\).

Step3: Substitute values for c

Substitute \(r = 2\), \(t=-3\), \(w = - 6\) into \(8-\frac{t}{r\cdot w}\). We get \(8-\frac{-3}{2\times(-6)}\).

Step4: Calculate fraction and subtraction

\(2\times(-6)=-12\), \(\frac{-3}{-12}=\frac{1}{4}\), \(8-\frac{1}{4}=\frac{32 - 1}{4}=\frac{31}{4}=7.75\).

Answer:

b. 12
c. 7.75