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​Write the standard form of the equation of the parabola that has a vertex at (–6, –5) and passes through the point (–8, 6).​

Find the dimensions of the rectangle meeting the specified condition.​The perimeter is 36 meters and the length is 4 meters greater than the width.​

Solve the system by the method of substitution.​​​

Use any method to solve the system of linear equations, find (x,y).​\(\style{font-family:Times New Roman}{\style{font-size:15px}{\left\{\begin{array}{l}y=\text{4}x-\text{7}\\y=\text{7}x-\text{13}\end{array}\right.}}\)​

The graph of the function g(x) is a translation of the graph of f (x) = x 3. Graph the function g(x) = (x – 3) 3 – 4.​

Two cheeseburgers and one small order of French fries from a fast-food restaurant contain a total of 850 calories. Three cheeseburgers and two small orders of French fries contain a total of 1380 calories. Find the caloric content of each item.​

The graph of the function\(\style{font-family:Times New Roman}{f(x)=\frac{3\text{​}}{x^{\text{​}}\;\text{–2}}}\) is shown below. Determine the vertical and horizontal asymptotes of its graph.

I found the course syllabus.

Person Status Allen Unpaid stay at home dad. Has not looked for a job in several years. Ben College president. Allison Part-time welder. Actively looking for full time work. Brittany Self-employed full-time wedding singer. Cathy Full­time physician’s assistant. Calvin Retired finance professor. Last applied for work 10 weeks ago. Diane Laid-off fork-lift operator looking for another job. David Works for a bicycle store. Age 70. Evelyn Manager of health food store. Eli Museum guard. Was not at work last week due to illness. Emily 10-year old who sells lemonade on the weekends. Flora Has never been employed. Looked for a job last week. Frank Fired from job as an investment banker. Last looked for work six weeks ago.   What is the labor force participation rate? HINT: 100 x (labor force/adult population)      

Person Status Allen Unpaid stay at home dad. Has not looked for a job in several years. Ben College president. Allison Part-time welder. Actively looking for full time work. Brittany Self-employed full-time wedding singer. Cathy Full­time physician’s assistant. Calvin Retired finance professor. Last applied for work 10 weeks ago. Diane Laid-off fork-lift operator looking for another job. David Works for a bicycle store. Age 70. Evelyn Manager of health food store. Eli Museum guard. Was not at work last week due to illness. Emily 10-year old who sells lemonade on the weekends. Flora Has never been employed. Looked for a job last week. Frank Fired from job as an investment banker. Last looked for work six weeks ago.   What is the unemployment rate? (round to the nearest hundredth) HINT: 100 x (unemployed/labor force)