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Algebra Questions & Answers

Q:
A shop sells matching hats and scarves. The scarves cost 1.5 times as much as the hats. Write two patterns that could represent the costs of \( 1,2,3,4 \), and 5 hats and scarves. List the first 5 terms of each pattern. Then explain how to find the cost of 6 hats and scarves, using the patterns you wrote. Show your work.
Q:
System B \( 2 x+y=6 \) \( -2 x-y+6=0 \)
Q:
7. The equation for a tile pattern is \( y=\frac{2}{3} x+12 \). Find the total number of tiles for \( f(15) \) of this pattern.
Q:
\begin{tabular}{l|l} & The system has no solution. \\ System A \\ \( 4 x+y=4 \) \\ \( 4 x-y=4 \)\end{tabular} \left\lvert\, \( \begin{array}{l}(x, y)=(\square, \square) \\ \text { The system has a unique solution: } \\ \text { The system has infinitely many solutions. } \\ \text { They must satisfy the following equation: } \\ y=\square\end{array}\right. \)
Q:
a. 4 days b. 6 days If \( 4^{x}-6 \cdot 2^{x+1}+32=0 \), then \( x= \) ? \( \begin{array}{ll}\text { a. } 3 & \text { b. } 2\end{array} \)
Q:
5. Use what you know about slope and \( y \)-intercept to graph \( y=\frac{7}{3} x-4 \)
Q:
\begin{tabular}{c|l} The system has no solution. \\ The system has a unique solution: \\ \( \begin{array}{c}-x-3 y=-6 \\ x+3 y=6\end{array} \) & \( \begin{array}{l}\text { The system has infinitely many solutions. } \\ \text { They must satisfy the following equation: } \\ y=\square\end{array} \)\end{tabular}
Q:
What is the difference between the explicit formula and recursive formula for sequences when would you use one over the other​
Q:
Bepaal die waarde(s) van \( x \) waarvoor die volgende uitdrukking reëel sal wees: \( \frac{\sqrt{x+3}}{2} \)
Q:
0355. Постройте график линейной функции \( y=0,4 x \). Найдите по графику: а) значение \( y \), соответствующее значению \( x \), равному \( 0 ; 5 \);

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