Mathematics Questions & Answers

9. Use any method to solve the system: \( \left\{\begin{array}{c}x^{2}+y^{2}=9 \\ 9 x^{2}+4 y^{2}=36\end{array}\right. \)

If \( (-1,8) \) is a point on the graph of \( y=f(x) \), which of the following must be on the graph of \( y=f(-x) \) ? \( (8,1) \) \( (-1,-8) \) Choose the correct answer below. \( (1,8) \) \( (-8,-1) \)

Write the function whose graph is the graph of \( y=\sqrt{x} \), but is horizontally stretched by a factor of 8. \( y=\square \) (Use integers or fractions for any numbers in the expression.)

9) \( \frac{(-3)^{6} \cdot 27^{3}}{81^{2} \cdot 243}= \)

Expand and simplify each of the following expressions. (a) \( (3 x+4)(x-2) \) (b) \( 2(x-5)(5 x+2) \)

Decide whether the following statement is true or false. The cube function is odd and is increasing on the interval \( (-\infty, \infty) \). Choose the correct answer below. False True

1. \( 12 \frac{3}{2} \) of a sum of moncy is \( \$ 60 \). What is the sum of money? \( \begin{array}{llll}\text { (A) } \$ 7.50 & \text { (B) } \$ 20.83 & \text { (C) } \$ 72.50 & \text { (if) } 5480.00\end{array} \) ; 2. There are 40 students in a class. Boys make up \( 40 \% \) of the class. If \( 25 \% \) of the boys wear shirts jacs, how many boys wear shirt jacs? \( \begin{array}{llll}\text { (2) } 4 & \text { (B) } 10 & \text { (C) } 16 & \text { (D) } 30\end{array} \)

5) Dato un punto \( A(2 ;-2) \) e la rette \( y=2 x-3 \), determinare la distarad the punto e rette. Cou grefico

Find the function that is finally graphed after the following transformations are applied to the graph of \( y=\sqrt{x} \) in the order listed. (1) Shift up 7 units (2) Reflect about the \( x \)-axis (3) Reflect about the \( y \)-axis \( y= \)

Which of the followring statements are TRUE about the Hormal Distribution? Check all that apply. \( \square \) The distribution is symmetric with a single peak. \( \square \) about \( 95 \% \) of all data values lie within 1 standard deviation of the mean. \( \square \) The graph of the Hormal Distribution is bell-shaped, with tapering tails that never actually touch the horizontal axis. \( \square \) Data values farther from the mean are less common than data values closer to the mean. \( \square 50 \% \) of the data values lie at or above the mean. Data values are spread evenly around the mean. The mean, median and mode are all equal and occur at the center of the distribution.