I majored in Mathematics Education for undergraduate and graduate school. I have been teaching math at the Secondary level for 7 years and have been tutoring since I started college (2010).
Appliance Manufacturing Kitchen Korner produces refrigrators, dishwashers, and stoves at three different factories. The table gives the number of each product produced at eachfactory per day. Kitchen Korner receives an order for 110 refrigerators, 150 dishwashers, and 114 ovens. How manydavs should each plant be scheduled to fill this order?$$\begin{array}{|c|c|c|c|}\hline \text { Appliance } & {\text { Factory } \mathbf{A}} & {\text { Factory } \mathbf{B}} & {\text { Factory } \mathbf{C}} \\ \hline \text { Refrigerators } & {8} & {10} & {14} \\ {\text { Dishwashers }} & {16} & {12} & {10} \\ \hline \text { Stoves } & {10} & {18} & {6} \\ \hline\end{array}$$
The function $D(p)$ gives the number of items that will be demanded when the price is $p .$ The production cost $C(x)$ is the cost of producing $x$ items. To determine the cost of production when the price is $\$ 6,$ you would do which of the following?a. Evaluate $D(C(6))$b. Evaluate $C(D(6))$c. Solve $D(C(x))=6$d. Solve $C(D(p))=6$
By what expression should we multiply each side of$$\frac{5}{3 x(2 x+1)}=\frac{A}{3 x}+\frac{B}{2 x+1}$$so that there are no fractions in the equation?
In Exercise $1,$ after clearing fractions to decompose, the equation$$A(2 x+1)+B(3 x)=5$$results. If we let $x=0,$ what is the value of $A ?$
By what expression should we multiply each side of$$\frac{3 x-2}{(x+4)\left(3 x^{2}+1\right)}=\frac{A}{x+4}+\frac{B x+C}{3 x^{2}+1}$$so that there are no fractions in the equation?
In Exercise 3 , after clearing fractions to decompose, the equation$$3 x-2=A\left(3 x^{2}+1\right)+(B x+C)(x+4)$$results. If we let $x=-4,$ what is the value of $A ?$
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Use matrices and Gauss Jordan elimination to solve the system of equations{3 x + 4 y - z = 0{2x+5y-2z =1{5x-3y+3z =-5You must use elementary row operations, with appropriate notation.
Solve the coin word problems.Chi has $11.30 in dimes and quarters. The number of dimes is 3 more than three times the number of quarters. How many dimes and nickels does Chi have?
