$Q=|x-8|+(y+10)^2+7$Ta có:$|x-8|≥0$ (lđ với $∀x)$$(y+10)^2≥0$ (lđ với $∀y)$$⇒|x-8|+(y+10)^2≥0$ (lđ với $∀x,y)$$⇔|x-8|+(y+10)^2+7≥7$Dấu $"="$ xảy ra khi$+,x-8=0$$x=8$$+,y+10=0$$y=-10$Vậy $MinQ=7⇔x=8,y=-10$
Đáp án:
$\\$
`Q = |x-8| + (y+10)^2 + 7`
Với mọi `x,y` có : `|x-8|≥ 0, (y+10)^2 ≥ 0`
`-> |x-8| + (y+10)^2 ≥ 0 ∀x,y`
`-> |x-8| + (y+10)^2 + 7 ≥ 7 ∀x,y`
`-> Q ≥7∀x,y`
Dấu "`=`" xảy ra khi :
`↔ |x-8| =0, (y+10)^2 =0`
`↔x-8=0,y+10=0`
`↔x=8,y=-10`
Vậy `min Q=7 ↔x=8,y=-10`
Ex7. Write the correct form of the words in brackets. 1. Nowadays young people want to leave home as soon as they reach . (adult) 2. A good night’s sleep will improve your . (concentrate) 3. Teens should learn to be when making a presentation. (confidence) 4. Going away to college has made me much more . (depend) 5. A lot of people eat too much when they’re . (depress) 6. I have a bad habit of taking on more than I can handle. (responsible) 7. Students have spoken of their growing with school administrators.(frustrate) 8. Ann suffered from depression and a number of other problems. (emotion) 9. Have you thought of talking to a marriage guidance ? (counsel) 10. Her networking and skills came in handy for a charity boxing eventshe hosted. (organize)
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Hiện nay, mẹ Lan hơn Lan tuổi. Sau năm nữa thì tuổi mẹ gấp lần tuổi Lan . Tổng số tuổi hai mẹ con Lan hiện nay là bao nhiêu
Supply the correct verb forms: 1. We enjoy (read) _____________ story books. 2. The form teacher has asked Jack (write) _____________ an essay on the Thames. 3. It sometimes may be difficult (get) _____________ a taxi during rush-hours. 4. The rain has made the children (stop) _____________ their games. 5. She tells the driver (take) _____________ her to the railway station. 6. Children have just stopped (play) _____________ football. 7. These children keep (talk) _____________ about the lion tamer. 8. He used to (do) _____________ research in this library. 9. They’ve finished (do) ____________ their homework. 10. Would you mind (help) ____________ me this work? 11. Mother requests her daughter not (come) ____________ back home late. 12. She is very glad (see) ____________ you again. 13. It is difficult (do) ____________ this exercises. 14. They can (answer) ____________ the question easily. 15. He used to (do) ____________ research in this library. 16. My mother used this knife (cut) ____________ an orange 17. When my father was young, he used to (work) ____________ twelve hours a day. 18. She used a pencil (write) ____________ this letter. 19. John used to (be punished) ____________ by his teacher. 20. I suggest (not play) ____________ games now. 21. Lan likes (drink) ____________ coffee. 22. The boy should (avoid) ____________ (do) ____________ that mistake. 23. Will you (take) ____________ your daughter to the dentist? 24. Mai want (know) ____________ about her result of the final exam. 25. Loan suggest (learn) ____________ all vocabulary by heart. 26. Phuong enjoys (read) ____________ novel so much. 27. The teacher suggests us (keep) ____________ silent in class. 28. You should avoid (smoke) ____________. 29. If you want (keep) ____________ fit, you should (do) ____________ morning exercise. 30. Loan likes (swim) ____________ best. 31. Would you mind (erase) ____________ the board? 32. The weather may (be) ____________ fine tonight. 33. Could you please (tell) ____________ me about yourself? 34. Ba can’t take part in (play) ____________ soccer because he cut his leg. 35. We used to (have) ____________ free time when we were children. 36. Let’s (begin) ____________ from page 1. 37. You ought to (prepare) ____________ the lessons before going to school. 38. Hoa has to (finish) ____________ housework now. 39. Do you often have to (take) ____________ care of your little sister. 40. *Give the correct verb forms: 41. 1- I suggest (hold) ……………………..another meeting next week. 42. 2- We don’t enjoy (go)……………………. to the dentist. 43. 3- She wants (travel)………………………. to the coutryside. 44. 4- The boys like (play)…………………. games but hate (study)……………. their lessons. 45. 5- She promised (pick)…………………… me up at the schoolgate. 46. 6- I’m looking forward to (see) ………………………you. 47. 7- He intended (stay) ………………………..at home next Monday. 48. 8- They used (go)……………………. swimming in the afternoon. 49. 9- Ask him (come) ………….….in. Don’t keep him (stand)……………… at the door. 50. 10- Her favorite hobby is (read)……………………… books. 51. She spends most of free time (read)…………………………… them. 52. 11- My father advises me (see) …………………………this film. 53. 12- Would you mind (show)…………………………… me how to use this computer? 54. 13- Minh is interested in (swim)………………………… in the lake. 55. 14- It is difficult (have) ……………………………….a good friend. 56. 15- She is fond of (listen)………………………….. to pop music. 57. 16- You should (study) ……………………..harder. 58. 17- My brother is bad at (cook) ……………………………food. 59. 18- Next Sunday Hoa invite us (come)……………………….. to her birthday party. 60. 19- My father taught me (ride) ……….……….a bike when I (be)……………….. eight. 61. 21- Is Lan used to (write)………………………… to Maryam? 62. 23- I would rather (do)……………………. the test well.
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