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• factor the polynomial 4x4 – 20x2 – 3x2 + 15 by grouping. what is the resulting expression? (4x2 + 3)(x2 – 5) (4x2 – 3)(x2 – 5) (4x2 – 5)(x2 + 3) (4x2 + 5)(x2 – 3)
  
• which sequence can be defined by the recursive formula f (1) = 4, f (n + 1) = f (n) – 1.25 for n ≥ 1? 1, –0.25, –1.5, –2.75, –4, . . . 1, 2.25, 3.5, 4.75, 6, . . . 4, 2.75, 1.5, 0.25, –1, . . . 4, 5.25, 6.5, 7.75, 8, . . .
  
• having the authority to define their own tasks makes it likely that workers will ______. a. be less satisfied b. abandon tasks c. be more productive d. expand lunch hours
  
• read the excerpt from cristina garcia’s dreaming in cuban. my father knew i understood more than i could say. he told me stories about cuba after columbus came. he said that the spaniards wiped out more indians with smallpox than with muskets. which best describes an element of magic realism used by garcia in this excerpt? she shows the close relationship that pilar had with her father. she connects the events to the colonial history of latin america. she is a modern writer developing a story about spanish history. she characterizes columbus’s discovery as an extraordinary event.
  
• the great rift valley is home to many villages and settlements in africa because —
  
• review the steps of the proof of the identity sine (a minus startfraction 3 pi over 2 endfraction) = cosine a. sine (a minus startfraction 3 pi over 2 endfraction) step 1: = sine a cosine (startfraction 3 pi over 2 endfraction) minus cosine a sine (startfraction 3 pi over 2 endfraction) step 2: = (sine a) (0) + cosine a (negative 1) step 3: = (sine a) (0) + (1) (cosine a) step 4: = 0 + cosine a step 5: cosine a at which step was an error made? step 1 step 2 step 3 step 4
  
• comets are balls of ice and debris that will travel around the sun. one famous comet is halley’s comet. it is visible on earth approximately every 75 years. the next time this comet will be seen is the year 2061. which verb or verb phrase corrects the error in verb tense? travel did travel have traveled will have traveled
  
• two technicians are discussing torque wrenches. technician a says that a torque wrench is capable of tightening a fastener with more torque than a conventional breaker bar or ratchet. technician b says that a torque wrench should be calibrated regularly for the most accurate results. which technician is correct?
  
• fill in the blank with the spanish word that best completes the following sentence. yo tomo mucho _____ de naranja. jugo té café leche
  
• what was the guiding principle of roosevelt’s square deal? roosevelt would make sure americans could afford three meals a day. roosevelt would keep americans free from tax increases. roosevelt would make sure americans received additional federal services. roosevelt would treat americans with fairness and respect.