The function is decreasing on the interval (Type your answer in interval notation.)

Directions: Write the linear equation in Standard Form. \( y=\frac{3}{2} x+3 \) Incorrect Answer Given: \( -3 x+2 y=6 \) Why is this incorrect? Answer fails to be in the form: \( A x+B y=C \) Answer fails to make sure \( A, B, C \) are not fractions (or decimals). Answer fails to make sure \( A \) is positive.

Use properties of logarithms to find the exact value of the expression. Do not use a calculator. \( \ln e^{5} \) \( \ln e^{5}=\square \) (Type an integer or a simplified fraction.)

In 2018 , the citizens of a country spent a total of \( \$ 73.6 \) billion on their pets. In 2015 , the citizens of the same country spent \( \$ 66.79 \) billion on their pets. Let \( y \) be the amount spent by those citizens on their pets in year \( x \), where \( x=0 \) represents the year 2015 . a. Write a linear equation that models the amount the citizens of the country spent on their pets in the year \( x \). [Hint: The line must pass through the points \( (0,66.79) \) and \( (3,73.6) \).] b. Use this equation to predict the amount citizens spend on their pets in 2027 .

QUESTION 8 The sum of \( x^{-1} \) and \( y^{-1} \) in the most simplified form is \( \left.\begin{array}{ll}\text { A. } \frac{1}{x y} & \text { B. } \frac{x y+1}{x y} \\ \text { C. } \frac{y+x}{x y} & \text { D. } \frac{x y-1}{x y}\end{array}\right\} \)

Solve for x . Be sure to reduce your answer. Check your solution. \( \frac{1}{5} \mathrm{x}=4 \) \( \mathrm{x}=\square \)