The Cartesian form of the equation of the plane \( \underset { \sim } { r } \cdot ( \underset { \sim } { i } + 3 \underset { \sim } { j } - \underset { \sim } { k } ) = 10 \) is: 

\(2 x + 3 y - z = 10\)

\(2 x + 3 y - z = \sqrt { 14 }\)

\(2 x + 3 y - z + \sqrt { 14 } = 0\)

\(2 x + 3 y - z + 10 = 0\)

Sean began jogging to live a healthier lifestyle. On his first run, he ran one-half mile. He increased his workouts by adding two miles a month to his run. He wrote the equation \(f ( x ) = 0.5 + 2 x\) to model his progress. The variable \(x\) represents the number of 

miles he runs. 

months he runs. 

miles he ran the first day. 

calories he burns. 

Select all the equations

Stella and Harper determine that 25 less than the product of their ages, in years, is 183. Stella's age is 3 more tha Harper's age, x. 

Select all the equations that could be used to find the ages of Stella and Harper. 

x(x + 3) = 158

x(x + 3) = 208

25 - x(x+3) = 183

x(x + 3) - 25 = 183

x + (x+3) - 25 = 183

Translate the phrase into an algebraic expression: v students per 8 buses.

Select the correct answer below:

1. \(\frac { v \text { buses} } { 8 \text { students} } \)

2. \(\frac { 8 \text { buses} } { v \text { students} } \)

3. \(\frac { 8 \text { students} } { v \text { buses} } \)

4. \(\frac { v \text { students} } { 8 \text { buses} } \)

The population of two parts of a town i.e., the upper and the lower parts of a town were equal. After the former had fallen 20 per cent and the latter has risen by 15 per cent, the total number of inhabitants was 39390. What was the population of each part at first? 

Which of the following is a possibility for the degree of the function? Choose all that apply. 4, 5, 6, 7, 8, 9

Below is the graph of a polynomial function with real coefficients. All