Jim built pens for his dogs. if he puts 1 dog in each pen, he will have 2 dogs left over. if he put 2 dogs in each pen, he will have 1 empty pen. how many dogs and pens does jim have?

You will get 25 points an image of a rectangular prism is shown below: part a: a cross section of the prism is cut with a plane parallel to the base. what is the name of the shape created by the cross section? explain your answer. (5 points) part b: if a cross section of the prism is cut perpendicular to the base, what would be the shape of the resulting cross section? explain your answer. (5 points)

Acompany that manufactures and sells guitars made changes in their product range. from the start they had 20 models. then they reduced the number of models to 15. as a result, the company enjoyed a 10% increase in turnover. - how much did the stock level change? in (%)

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12