Esercizio 3 Un trapezio rettangolo ha l'area espressa dal polinomio \( 3 x^{2}+5 x-2 \). La base maggiore misura \( 2 x-2 \) e quella minore \( x+1 \). Calcola l'altezza del trapezio. Esercizio 4 Senza fare la divisione, trova quali dei seguenti binomi \( x+\frac{1}{-}: x-1 ; x+2 ; x-2 \)

\( x \rightarrow 1 \frac { 3 x - 3 } { x ^ { 2 } - 1 } \)

136. Даны натуральное число \( n \), действительные числа \( a_{1}, \ldots, a_{n} \) Вычислить: \( \begin{array}{ll}\text { а) } a_{1}+\ldots+a_{n} ; & \text { б) } a_{1} a_{2} \ldots a_{n} ; \\ \text { в) }\left|a_{1}\right|+\ldots+\left|a_{n}\right| ; & \text { г) }\left|a_{1}\right| \cdot\left|a_{2}\right| \cdot \ldots \cdot\left|a_{n}\right| ; \\ \text { д) } a_{1}^{2}+\ldots+a_{n}^{2} ; & \text { е) } a_{1}+\ldots+a_{n} \text { и } a_{1} a_{2} \ldots a_{n} ; \\ \text { ж) } a_{1}-a_{2}+a_{3}-\ldots+(-1)^{n+1} a_{n} ; \\ \text { з) }-\frac{a_{1}}{1!}+\frac{a_{2}}{2!}-\ldots+\frac{(-1)^{n} a_{n}}{n!} ; \\ \text { и) } \frac{a_{1}}{0!}+\frac{a_{2}}{1!}+\ldots+\frac{a_{n}}{(n-1)} ; \\ \text { к) } 2\left(a_{1}+\ldots+a_{n}\right)^{2} ; \quad \text { л) } \sqrt{\left|a_{1} a_{2} \ldots a_{n}\right|} ; \\ \text { м) } \sin \left|a_{1}+\ldots+a_{n}\right| ; \\ \text { н) }\left(\sqrt{\left|a_{1}\right|}-a_{1}\right)^{2}+\ldots+\left(\sqrt{\left|a_{n}\right|}-a_{n}\right)^{2} ; \\ \text { о) } \sqrt{10+a_{1}^{2}}+\ldots+\sqrt{10+a_{n}^{2}}\end{array} \)

Solve the following: Show your solutions 1. All items in Store ACE have \( 12 \% \) sales tax inclusive. Ernesto bought a wallet and observed that in his receipt, he paid a total tax of P126 for his purchased wallet. How much is the cost of the wallet? 2. Jha bought a lipstick with tag price of P600 + \( 8 \% \) sales tax. How much should she pay for her purchase? 3. Jena bought some food from a fast-food restaurant. The total amount of her ordered food was P855 plus a \( 12 \% \) VATOHow much was the total amount she paid to the cashier? 4. Cora bought a new laptop computer that costs P28 985 . Looking at her Official Receipt, she found out that a sales tax of P2 318.80 was added to the cost of the laptop she bought. Find the sales tax rate. 5. The sales tax on a P13 800 appliance is P1 656 . What is the rate of sales tax? 6. How much sales tax is charged for an item that costs P250 if the sales tax rate is 6\%? How much is the total price? 7. A set of 6 -piece notebook is sold at P150 and the sales tax is \( 8 \% \). What is the total cost of this set of 6 -piece notebook including the sales tax? 8. The cost of a watch including a tax of \( 20 \% \) is Php1344. What is the price without the tax?

Health and well-being of children is affected by community resources, such as quality child care and education facilities and neighborhood parks. True False

II SERIE (valor 10 pts. 2 pts. c/u) INSTRUCCIONES: Realiza las siguientes evaluaciones de funciones. \( \begin{array}{ll}\text { 1) } F(x)=\frac{x^{2}-1}{x-3} \\ \text { 2) } F(x)=\frac{2 x-1}{x+4} \\ \text { 3) } F(x)=x^{2}+3 x+10 \\ \text { 4) } F(x)=\frac{x-5}{x+2} \\ \text { 5) } F(x)=10 \cos x & x=-6\end{array} \)