Todo preguntas y respuestas

Let \( f(x)=x^{2}+a x+b \) and \( g(x)=x^{2}-2 b x-a \), where \( a \) and \( b \) are constants. Given that the H.C.F. of \( f(x) \) and \( g(x) \) is \( x-1 \), find the values of \( a \) and \( b \). A. \( \quad a=5, b=-2 \) B. \( \quad a=3, b=2 \) C. \( \quad a=-3, b=2 \) D. \( \quad a=-5, b=-2 \)

\( ( e ^ { x } - \sin y ) d x + ( \cos y ) d y \)

Paksa/Isyu                  Pagpapalawak ng Paksa1.Gadget 2.Tiktok 3.LGBTC +

A telephone company offers a monthly cellular phone plan for \( \$ 34.99 \). It includes 350 anytime minutes plus \( \$ 0.25 \) per minute for additional minutes. The following function is used to compute the monthly cost for a subscriber, where \( x \) is the number of anytime minutes used. \( C(x)=\left\{\begin{array}{ll}34.99 & \text { if } 0<x \leq 350 \\ 0.25 x-52.51 & \text { if } x>350\end{array}\right. \) Compute the monthly cost of the cellular phone for use of the following anytime minutes. \( \begin{array}{ll}\text { (a) } 225 & \text { (b) } 395 \\ \text { (a) } C(225)=\$ \square \text { (Round to the nearest cent as needed.) } \\ \text { (b) } C(395)=\$ \square \text { (Round to the nearest cent as needed.) } \\ \text { (c) } C(351)=\$ \square \text { (Round to the nearest cent as needed.) }\end{array} \)

Which of the following functions has a graph that is symmetric about the \( y \)-axis? Select all that apply. \( \square \) A. \( y=|x| \) \( \square \) B. \( y=\sqrt{x} \) \( \square \) C. \( y=\frac{1}{x} \) \( \square \) D. \( y=x^{3} \)

and savings account. If he put \( \$ 180 \) into his savings account, what percentage of the total deposit did he put in his checking account?

En una bolsa hay cuatro tarjetas, con los números \( 1,2,3 \) y 4 respectivamente. Si se sacan dos tarjetas de la bolsa, una tras otra y con reposición, ¿cuál es la probabilidad de que la suma de los números obtenidos sea 7 ? A. \( \frac{1}{4} \) B. \( \frac{7}{16} \) C. \( \frac{1}{16} \)

2) Dato un punto \( P(-2 ;-1) \) e una rette II \( y=2 x-3 \) deterninare retto per il punto \( P \) ! Fare grefico

In a normal distribution, a data value located 1.2 standard deviations below the mean has Standard Score: \( \mathrm{z}=\square \) In a normal distribution, a data value located 2.4 standard deviations above the mean has Standard Score: \( \mathrm{z}=\square \) In a normal distribution, the mean has Standard Score: \( \mathrm{z}=\square \)

7. \( \frac{12^{7}}{9^{3} \cdot 2^{10}} \) ifadosinin qiymotini hesablaym. \( \begin{array}{llll}\text { A) } 40 & \text { B) } 42 & \text { C) } 46 & \text { D) } 48\end{array} \) \( \begin{array}{lll}\text { 8. } \frac{4^{5} \cdot 3^{9}}{6^{8}} & \text { ifadosinin qiymotini hesablayın. }\end{array} \)