Вопрос задан 23.10.2023 в 03:12. Предмет Алгебра. Спрашивает Насибов Шамиль.

7. Найдите решение системы уравнений {x=-3; y=x^2-2x-3

Смотреть ответ zhenyaM2002 zhenyaM2002 {x=-3 {y=x²-2x-3 Подставим значение х из первого уравнения во второе: y= (-3)²- 2× (-3) -3 y= 9+6-3 y=12 ответ: х=-3 , у = 12 Новые вопросы в Алгебра Срочно! 3 задание, объясните как его делать и какой вариант правильный. 8 класс. При яких значеннях змінної НЕ має змісту вираз 5/|x|-9? Укажіть усі можливі варіанти.​ 8. Постройте график функции у = √x+1. По графику определите значение функции, сс- ли значение аргумента равно 4. плиззззз 35 баллов дам!!!! СРОЧНО! Найдите произведение рациональных дробейa-1 /a+3 × 2a+6/a2-2a-1​ Здравствуйте даю 30 баллов нужен адекватный ответ с объяснением срочно фото прикрепила нужно 8 задание " Упростите выражение..." 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1. Найдите решение системы уравнений: { x = -3 y = x^2 - 2x - 3

Для решения данной системы уравнений, мы сначала находим значение x из первого уравнения, а затем подставляем его во второе уравнение, чтобы найти значение y.

Первое уравнение: x = -3

Теперь подставим значение x во второе уравнение: y = (-3)^2 - 2(-3) - 3 y = 9 + 6 - 3 y = 15 - 3 y = 12

Таким образом, решение системы уравнений: x = -3 y = 12

2. При каких значениях переменной выражение 5/|x| - 9 не имеет смысла? Укажите все возможные варианты.

Выражение 5/|x| - 9 не имеет смысла, когда знаменатель становится равным нулю, так как деление на ноль не определено. Значит, выражение не имеет смысла при x = 0, потому что |0| = 0 и знаменатель становится равным нулю:

5/|0| - 9 = 5/0 - 9

Также, если x = ±9, то знаменатель становится равным нулю:

5/|9| - 9 = 5/9 - 9 5/|(-9)| - 9 = 5/9 - 9

Итак, выражение 5/|x| - 9 не имеет смысла при x = 0 и x = ±9.

3. Постройте график функции y = √x + 1 и определите значение функции, когда значение аргумента равно 4.

Для построения графика функции y = √x + 1, следует выполнить следующие шаги:

a. Выберите несколько значений x и вычислите соответствующие значения y. Например, можно взять x = 0, 1, 2, 3, 4 и т. д.

x = 0: y = √0 + 1 = 1 x = 1: y = √1 + 1 = 2 x = 2: y = √2 + 1 ≈ 2.41 x = 3: y = √3 + 1 ≈ 2.73 x = 4: y = √4 + 1 = 3

b. Постройте график, используя эти значения. Ось x будет горизонтальной, а ось y - вертикальной. Подпишите оси и отметьте значения точек.

c. Чтобы найти значение функции при x = 4, находите значение y на графике, когда x = 4. В данном случае, y = 3.

Таким образом, значение функции y = √x + 1 при x = 4 равно 3.

4. Найдите произведение рациональных дробей: (a - 1)/(a + 3) * (2a + 6)/(a^2 - 2a - 1)

Для нахождения произведения рациональных дробей перемножим их:

(a - 1)/(a + 3) * (2a + 6)/(a^2 - 2a - 1)

Сначала упростим дроби:

1. Упростим (2a + 6)/(a^2 - 2a - 1) с помощью факторизации: a^2 - 2a - 1 можно записать в виде (a - 1)^2 - 2. (2a + 6)/(a^2 - 2a - 1) = (2a + 6)/((a - 1)^2 - 2)

2. Раскроем разность квадратов в знаменателе: (2a + 6)/((a - 1)^2 - 2) = (2a + 6)/(a - 1 + √2)(a - 1 - √2)

Теперь у нас есть упрощенные дроби:

(a - 1)/(a + 3) * (2a + 6)/((a - 1 + √2)(a - 1 - √2))

3. Перемножим дроби: (a - 1) * (2a + 6) / ((a + 3)((a - 1 + √2)(a - 1 - √2)))

4. Упростим числитель: (a - 1) * (2(a + 3)) = 2(a - 1)(a + 3)

Таким образом, произведение рациональных дробей равно:

(2(a - 1)(a + 3)) / ((a + 3)((a - 1 + √2)(a - 1 - √2)))

Заметьте, что (a + 3) в числителе и знаменателе сокращается:

2(a - 1)(a + 3) / ((a - 1 + √2)(a - 1 - √2))

Итак, это и есть упрощенное выражение для произведения данных рациональных дробей.

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