Carrie is planning her birthday party at a restaurant. she cannot spend more than $75 on the party. the cost per person for the meal is $12. there is also a $10 charge for the room. the number of friends, f, that carrie can invite is represented by the inequality 12f + 10 < 75. how many friends can carrie invite to the party if her budget is $75 or less?

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(05.08a)triangle abc is transformed to similar triangle a′b′c′ below: a coordinate plane is shown. triangle abc has vertices a at 2 comma 6, b at 2 comma 4, and c at 4 comma 4. triangle a prime b prime c prime has vertices a prime at 1 comma 3, b prime at 1 comma 2, and c prime at 2 comma 2. what is the scale factor of dilation? 1 over 2 1 over 3 1 over 4 1 over 5

Rewrite the following quadratic functions in intercept or factored form. show your work. y = 5x^2 + 10x