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• triangle a b c is shifted to the left to form triangle a prime b prime c prime. triangle a prime b prime c prime is then dilated to form larger triangle a double-prime b double-prime c prime. determine the similarity transformations that verify △abc ~ △a''b''c'. the first transformation mapping △abc to △a'b'c' is a . the second transformation mapping △a'b'c' to △a''b''c' is a .
  
• the graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x – 1)3 + 2. which is the graph of g(x), the translated function?
  
• read the following scenario and answer the question that follows. jordan is balanced emotionally, feels self-confident, and has met many of his basic goals in life. he is private about his thoughts on many things, but also has an active social life. his friends often describe him as a humorous and appreciative person. jordan is always striving to better himself in mentally, emotionally, and physically. based on the information in the scenario, what can be concluded about jordan? according to abraham maslow, jordan is striving to meet esteem needs. according to abraham maslow, jordan's personality is unstable. according to abraham maslow, jordan has not fulfilled the need for affection. according to abraham maslow, jordan is a self-actualized person.
  
• reyna has 5 coins worth 10 cents each and 4 coins worth 25 cents each. if she chooses two of these coins at random, what is the probability that the two coins combined will be worth at least 35 cents?
  
• determine the zeros of the function f(x) = 3x2 – 7x + 1. x = startfraction 7 plus or minus startroot 37 endroot over 6 endfraction x = startfraction negative 7 plus or minus startroot 37 endroot over 6 endfraction x = startfraction 7 plus or minus startroot 61 endroot over 6 endfraction x = startfraction negative 7 plus or minus startroot 61 endroot over 6 endfraction
  
• what is the highest navigable lake in the world? lake titicaca lake ontario lake baikal the caspian sea
  
• which statement correctly explains whether limit of h (x) as x approaches 9 exists? the limit does not exist because the values of h(x) seem to oscillate between random values around x = 9. the limit does exist because h(x) is defined for all given values around x = 9, even though h(x) isn’t defined at x = 9. the limit does not exist because h(x) is not defined at x = 9, and for a limit to exist, the function must be defined at x = 9. the limit does exist because the values of h(x) to the right of x = 9 are all opposites of the values of h(x) to the left of x = 9.
  
• waste disposal, food source, medicines, medicinal therapies, and aquaculture are all ways _______. a. humans impact the marine environment b. humans utilize marine resources c. marine environments have impacted humans d. all of the above
  
• justify why children often have the same habits and mannerisms as their parents.
  
• at which location would you be most likely to find a high population density?