I/ On donne : \( 2,15 \leq x \leq 2,18 \). Détermine une valeur approchée de \( x \), en précisant son incertitude. II/ Ecris les nombres réels suivants sans le symbole de la valeur absolue. (2pts) \( |\sqrt{2}-1| ;|5-\sqrt{19}| ; \quad|-3+\sqrt{17}| ; \quad\left|\frac{3}{7}-\frac{7}{3}\right| \) III Soit deux réels \( x \) et y strictement positifs. (2pts) \( \begin{array}{ll}\text { 1) Développer }(x+y)^{2} . & \text { 2) Démontrer que } \frac{1}{x^{2}+y^{2}} \leq \frac{1}{2 x y} .\end{array} \)

(a) \( 15^{\circ} \) If the straight line \( y=k x+1 \) is parallel to the straight line \( 2 y-x=5 \), then \( k= \) \( \begin{array}{llll}\text { (a) } 1 & \text { (b) } \frac{1}{2} & \text { (c) } 2 & \text { (d) }-2\end{array} \)

Two stores sell the samo television for the same original price. Store A advertises that the television is on sale for \( 30 \% \) off the original price. Store B advertises that it is reducing the television's price by \( \$ 250 \). When Allison compares the sale pricos of the television in both stores, she concludes that the sale prices are equal. Let p represent the telovision's original price. Which equation models this situation?

Convert the following expression to exponential form: \( \sqrt{a} \)

Toplic realize. Topiew (LMS graded) Part 1 of 2 Find the zeros of the function, and then describe the behavior of the graph at each zero. \[ f(x)=x^{3}+4 x^{2}+4 x \]

Marco and Drew stacked boxes on a shelf. Marco lifted 9 boxes of equal weight. Drew lifted 14 boxes, but Drew's boxes of equal weight, but Drew's boxes each weighed 8 lb less than Nathan's boxes. Together, they lifted a total of 233 pounds. What was the weight of one of Marco's boxes?