「But reading isn’t just a nice thing to do – it’s an essential skill,something you need for everyday activities, whether that’s finding o... Read More

Phil Hello. This is 6 Minute English from BBC Learning English. I'm Phil. Beth And I'm Beth. Are you a big reader, Phil? Phil Sure, I enjoy reading - and it's also a great way to pass the time on my daily commute to work. But reading isn't just a nice thing to do - it's an essential skill, something you need for everyday activities, whether that's finding out the news by reading a newspaper or buying groceries by reading the labels. Beth And that's why I was shocked by a recent UN report estimating that around the world over 700 million adults are illiterate, which means they can't read or write. Phil Wow! That's a huge number of people excluded from doing basic day-to-day things. So, what can be done to get more adults reading and writing? In this programme, we'll be hearing about projects in two very different countries trying to do just that. And, as usual, we'll be learning some useful new vocabulary as well. Beth But first I have a question for you, Phil. I mentioned a recent UN report on the high numbers of people unable to read and write, but illiteracy is not a new problem. Since 1967, the UN has been highlighting the importance of literacy, being able to read and write, with a day of celebration called International Literacy Day. But when does it take place? Is it: a) the 8th of March? b) the 8th of June? or, c) the 8th of September? Phil I think International Literacy Day is on the 8th of September. Beth OK, Phil, we'll find out if that's correct at the end of the programme. The biggest reason people grow up illiterate is not going to school, and that's especially true for people living in the coastal towns of Bangladesh. Because these towns flood regularly, families are always on the move, making it hard for children to get an education. Phil The Friendship Project teaches reading and writing to groups of Bangladeshi women and girls. They also teach numeracy which means the ability to do basic maths like counting and adding up. Here one student, Rashida, explains the impact it's had on her to BBC World Service programme, People Fixing The World: Rashida My parents never sent me to school and I've suffered from not being able to read and write. My children were embarrassed that I was illiterate. I couldn't even do basic accounting. Until now, I've had to use my fingerprint as a signature as I was illiterate, but now I can sign my name because I can read and write thealphabet, and I'll also be able to keep an account of my expenses. No one can cheat me anymore. Beth Before the Friendship Project, Rashida couldn't write her signature – her name written in her own handwriting. Instead, she had to use her fingerprint. Now, Rashida has learned the alphabet and also some basic maths, so she knows how much money she's spent, and how much she has left. This means no-one can cheat her, can trick or swindle her into taking her money.

合っているか教えてください🙇

= 21 I make my living by hard work. I ( 1 win ②earn ③ have ) my living by hard work. Ⓒ spend ⑤ catch (関西 たんのう 22 応募者は書く英語と話す英語がどちらも堪能でなければならない。 Applicants must have a good ( ) of both written and spoken English. ①control ②2 view command 4 literacy 23 () is no way to know the exact number of stars in the sky. It There 3 What 4 Each (獨t (F

数学 答えと違うやり方でやった（二枚目）のですが、良いのでしょうか？k＝1のときを考えてないからダメだと思いますが。。

要 例題 43 虚数を係数とする 2次方程式 00000] xの方程式(1+i)x2+(k+i)x+3+3ki = 0 が実数解をもつように,実数k の値を定めよ。 また, その実数解を求めよ。 CHART & SOLUTION 2次方程式の解の判別 (x-6)=(+x)([+x) (£) ひとすると 基本 38 73 判別式は係数が実数のときに限る DOから求めようとするのは完全な誤り(下の INFORMATION 参照)。(ど)。 実数解をαとすると (1+i)μ2+(k+i)a+3+3ki=0 RBORONE ns-e+x(S-D) (1) 2章 6 この左辺をa+bi (a, b は実数) の形に変形すれば, 複素数の相等により (1) a=0, 6=0 α, kの連立方程式が得られる。 る。 .... 解答 NEDOZEURS-50-DE) to (S) 方程式の実数解をα とすると 整理して (1+i)a2+(k+i)a+3+3ki=0 (a2+ka+3)+(α2+α+3k)i=0 x=α を代入する。 a+bi=0 の形に整理。 α kは実数であるから, a2+ka+3, a2+α+3k も実数。この断り書きは重要。 よって ①② から ゆえに よって Q2+ka+3=0 _Q2+α+3k=0 ...... 2 (k-1)a-3(k-1)=0 (k-1)(a-3)=0 複素数の相等。 ← α を消去。 infk を消去すると k=1 または α=30= (L-n) + α-22-9=0 が得られ, [1] k=1のとき ① ② はともに α2+α+3=0 となる。 因数定理 (p.87 基本事項 2 ) を利用すれば解くことがで きる。 これを満たす実数 αは存在しないから、不適 [2] α=3 のとき ① ② はともに 12+3k=0 となる。 ゆえに k=-4 RS ←D=12-4・1・3=-11<0 ①:32+3k+3 = 0 ②:32+3+3k=0 [1] [2] から求めるkの値はk=-46 実数解は x=3 2次方程式の解と判別式 INFORMATION 2次方程式 ax2+bx+c=0 の解を判別式 D=62-4ac の符号によって判別できる のは a, b c が実数のときに限る。 例えば, α=i, b=1,c=0 のとき 62-4ac=1>0 であるが, 方程式 ix'+x=0の解 はx=0, i であり、 異なる2つの実数解をもたない (p.85 STEP UP 参照)。 PRACTICE 43° 0-6040-0 の方程式 (1+i)x²+(k-i)x-(k-1+2)=0 実数解をもつ #th to a litt

例題16 (2)の問題です。因数分解です。 2枚目自分で解いたものなのですがなぜこの答えではダメなのか、どこで間違えているのか教えて欲しいです。 よろしくお願いいたします。

基本 例題 16 因数分解 (対称式・交代式 ) 次の式を因数分解せよ。 (1) a(b+c)2+b(c+a)+c(a+b)-4abc ② x(y2-22)+y(z2-x2)+2(x²-y2) 20 CHART & SOLUTION 対称式・交代式の因数分解 1つの文字について降べきの順に整理する どの文字についても次数は同じ。 どれか1つの文字に着目して整理する。 (1) a²+a+ (2) x²+x+ 解答 (1) α(b+c)2+b(c+a)+c(a+b)2-4abc =a(b+c)2+b(c2+2ca+α)+c(a²+2ab+62)-4abc =(b+c)a²+{(b+c)2+2bc+2bc-4bc}a+bc2+b2c =(b+c)a²+(b+c)2a+bc(b+c) =(b+c){a²+(b+c)a+bc} =(b+c)(a+b)(a+c) =(a+b)(b+c)(c+α) (2)x(y2-22)+y(z2-x2)+2(x²-y²) 1=(-y+z)x2+(y2-22)x+yz-yz L =-(y-z)x2+(y+z)(y-z)x-yz(y-z) =-(y-z){x2-(y+z)x+yz}] =-y-z)(x-y) (x-z) =(x-y) (y-z)(z-x) INFORMATION 00000 [(2) 鹿児島大 ] 33 基本 14.15 1章 aについて降べきの順に整 理する。 ●aka+● ← (b+c) が共通因数。 これを答えとし 輪環の順に整理。 について降べきの順に整 理する。 ●x²+x+● (y-z) が共通因数。 これを答えとしてもよい。 輪環の順に整理。 3つの文字についての式は,なるべく輪環の順に書くようにすると 防ぐことができる。 因数分解

it’s an essential skill, something you need for everyday activities, whether that’s finding out the news by reading a newspaper or buying... Read More

Phil Hello. This is 6 Minute English from BBC Learning English. I'm Phil. Beth And I'm Beth. Are you a big reader, Phil? Phil Sure, I enjoy reading - and it's also a great way to pass the time on my daily commute to work. But reading isn't just a nice thing to do - it's an essential skill, something you need for everyday activities, whether that's finding out the news by reading a newspaper or buying groceries by reading the labels. Beth And that's why I was shocked by a recent UN report estimating that around the world over 700 million adults are illiterate, which means they can't read or write. Phil Wow! That's a huge number of people excluded from doing basic day-to-day things. So, what can be done to get more adults reading and writing? In this programme, we'll be hearing about projects in two very different countries trying to do just that. And, as usual, we'll be learning some useful new vocabulary as well. Beth But first I have a question for you, Phil. I mentioned a recent UN report on the high numbers of people unable to read and write, but illiteracy is not a new problem. Since 1967, the UN has been highlighting the importance of literacy, being able to read and write, with a day of celebration called International Literacy Day. But when does it take place? Is it: a) the 8th of March? b) the 8th of June? or, c) the 8th of September? Phil I think International Literacy Day is on the 8th of September. Beth OK, Phil, we'll find out if that's correct at the end of the programme. The biggest reason people grow up illiterate is not going to school, and that's especially true for people living in the coastal towns of Bangladesh. Because these towns flood regularly, families are always on the move, making it hard for children to get an education. Phil The Friendship Project teaches reading and writing to groups of Bangladeshi women and girls. They also teach numeracy which means the ability to do basic maths like counting and adding up. Here one student, Rashida, explains the impact it's had on her to BBC World Service programme, People Fixing The World: Rashida My parents never sent me to school and I've suffered from not being able to read and write. My children were embarrassed that I was illiterate. I couldn't even do basic accounting. Until now, I've had to use my fingerprint as a signature as I was illiterate, but now I can sign my name because I can read and write thealphabet, and I'll also be able to keep an account of my expenses. No one can cheat me anymore. Beth Before the Friendship Project, Rashida couldn't write her signature - her name written in her own handwriting. Instead, she had to use her fingerprint. Now, Rashida has learned the alphabet and also some basic maths, so she knows how much money she's spent, and how much she has left. This means no-one can cheat her, can trick or swindle her into taking her money.

この14の（2）なのですが、途中（x²+3xy+2y²）が2つ出てきます。そこで共通因数をくくりだすと書いてあるのですが、どうもしっくり来なくて、、、 因数分解後、2セット？あるけれど二乗にならないのですか？語彙力なくてすいません🙇‍♀

00 +2282 2 2 (x+3xy+2y +(xキ3x+2y2 2 0 共通因数 (大)(な)エースで (y)(x+) くくり出す ((+2y)² (x + y)² (x + z ) (+)(x+2)(x+2)

マーカーの部分を教えてください

08 基本 例題 65 最大・最小の文章題 (2) 0000 座標平面上で、点Pは原点Oを出発して、x軸上を毎秒1の速さで点(6 まで進み、点Qは点Pと同時に点(一般)を出発して、毎秒1の速さで 0まで進む。この間にP,Q間の距離が最小となるのは出発してから何 か。 また、その最小の距離を求めよ。 CHART SOLUTION 解答 ✓f(x) の最大・最小はf(x)の最大・最小を考える 基本 t秒後のP,Q間の距離をd とすると, 三平方の定理からd=f(t) の形にな る。ここでd> 0 であるから,d=f(t)が最小のときdも最小となる。 出発してからt秒後のP, Q 間の距離 を dとする。 P, Qは6秒後にそれぞ れ点 (6,0,0,0)に達するから 0≤t≤6 ...... ① このとき, OP=t, OQ=6-t である 6- TUAN JS x ◆ tのとりうる値の範囲 点Qのy座標は t-6 から, 三平方の定理により -6 d=t+(6-t)2=2t-12t+36 =2(t-3)2+18 よって、①の範囲の tについて, d2 は t=3で最小値18 をと る。 d> 0 であるから,このときも最小となる。 ゆえに、3秒後にP, Q間の距離は最小になり、 最小の距離は 18=3√2 である。 ◆軸t=3は①の範囲内 この断りは重要! 81-38 INFORMATIONdの大小はdの大小から らdが最小のときも最小に 右のグラフから ずその最小値を求めている。これはd>0でdが恋 例題では,d=√2+62の根号内のα+62 を取り出して,ま y Lv=5

中２の場合の数の問題です information を並び替えるとき、母音が左からaiioo の順で並ぶものは何通りかという問題の答えが 2!5!分の11! なんですけどよく分からないのでどうしてこうなるのか教えて頂きたいです､お願いします🙇🏻‍♀️🙏🏻

この問題の答えを教えて欲しいです

B You are an exchange student in the US and next week your class will go on a day trip. The teacher has provided some information. 問1 Yentonville has 3 a church built 250 years ago when the city was constructed Tours of Yentonville The Yentonville Tourist Office offers three city tours. The History Tour BB [] [ The day will begin with a visit to St. Patrick's Church, which was built when the city was established in the mid-1800s. Opposite the church is the early-20th-century Mayor's House. There will be a tour of the house and its beautiful garden. Finally, cross the city by public bus and visit the Peace Park. Opened soon after World War II, it was the site of many demonstrations in the 1960s. The Arts Tour The morning will be spent in the Yentonville Arts District. We will begin in the Art Gallery where there are many paintings from Europe and the US. After lunch, enjoy a concert across the street at the Bruton Concert Hall before walking a short distance to the Artists' Avenue. This part of the district was developed several years ago when new artists' studios and the nearby Sculpture Park were created. Watch artists at work in their studios and afterwards wander around the park, finding sculptures among the trees. The Sports Tour First thing in the morning, you can watch the Yentonville Lions football team training at their open-air facility in the suburbs. In the afternoon, travel by subway to the Yentonville Hockey Arena, completed last fall. Spend some time in its exhibition hall to learn about the arena's unique design. Finally, enjoy a professional hockey game in the arena. Yentonville Tourist Office, January, 2024 ② a unique football training facility in the center of the town ③ an art studio where visitors can create original works of art 4 an arts area with both an art gallery and a concert hall 2 On all three tours, you will 4 learn about historic events in the city 2 see people demonstrate their skills 3 spend time both indoors and outdoors use public transportation to get around 3 Which is the newest place in Yentonville you can visit on the tours? 5 ①The Hockey Arena The Mayor's House 3 The Peace Park 4 The Sculpture Park

この問題の(2)の赤線の部分なのですが、条件付き確率なので公式に入れて求めてみたら値が違うものになりました。多分矢印で書いた方の求め方なのですが、どうしてそうなるのかを教えていただきたいです。

V 基本 例題 53 確率の乗法定理 (1) 00000 当たりくじ4本を含む12本のくじがある。 引いたくじはもとに戻さないも のとして,次の確率を求めよ。 (1) A,Bの2人がこの順に1本ずつ引くとき, AもBも当たる確率 (2) A,B,Cの3人がこの順に1本ずつ引くとき,Cだけがはずれる確率 p.340 基本事項 2 CHART & SOLUTION Hom .... もとに戻さないでくじを引く場合の確率 乗法定理を適用 ･･････ 0 引いたくじはもとに戻さないから,前に引いた人の「当たり」 または 「はずれ」により、次 に引く人の「当たり」 または 「はずれ」 の確率が変わってくる。 解答 A, B, C が当たる事象をそれぞれ A, B, C とする。 ① (1) 求める確率は P(A∩B)=P(A)PA(B) Aが当たる確率 P(A) は P(A)=4 12 Aが当たったとき, 残りのくじは11本で当たりくじ3本 を含むから,条件付き確率 PA (B) は よって PA(B)=- 3 11 P(A∩B)=1/23 = 3 11 11 I C 確率の乗法定理。 当たりくじは3本。 (2) 求める確率は P(A∩BNC)=P(A∩B) PanB (C) 条件付き確率 PanB(C) は, A, B が当たったとして,次に Cがはずれるときの確率であるから 8 PanB (C)=- 10 よって, (1) から ◆ A, B は当たる。 ←このときCは、残りのく じが10本で,当たりく じを2本含むものから くじを引く。 P(A∩B∩C)=P(A∩B)Pana(C)=1/1×20 4 55 P(A∩B)=1/1 INFORMATION 確率の乗法定理の解答について