Вопрос задан 06.07.2023 в 12:37. Предмет Алгебра. Спрашивает Вакуленко Татьяна.

Реши систему уравнений: {2x−y=16x−1,5y=13

Смотреть ответ Moramora Moramora Ответ: (6,5;-5) Объяснение: {2x=16+y x-1,5y=13|*2 →2x-3y=26→2x=26+3y 16+y=26+3y→2y=-10→y=-5 x-1,5y=13→x=13+1,5y→x=13-5*1,5=13-7,5=6,5 x=6,5 y=-5 Новые вопросы в Алгебра (x+2)²+(x-3y)²=0 срочно даю дофига ​ Помогите пожалуйста X^2-10x+16>=0 6. Відомо, що а+b=5, ab=-2. Знайдіть значення виразу (a-b)в квадраті​ Знайти f(27), якщо f(x) = √3х​a) 9 b)-9 в) 4 г)6 Знайдіть знаменник геометричної прогресії... 75; 15; 3;.....​ Предыдущий Следующий Вместе мы знаем больше Этот сайт использует cookies Политика Cookies . Вы можете указать условия хранения и доступ к cookies в своем браузере. 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Вы перечислили несколько математических вопросов. Давайте рассмотрим каждый из них по очереди.

  1. Решение системы уравнений: Ваше решение верное. Вы нашли значения переменных x и y, которые удовлетворяют обоим уравнениям системы. (6.5, -5) являются корнями этой системы.

  2. Решение неравенства: У вас есть неравенство x^2 - 10x + 16 >= 0. Чтобы решить это неравенство, нужно найти интервалы, в которых оно выполняется. Для этого можно использовать методы анализа знаков или графика. Однако, это неравенство имеет дискриминант D = 100 - 4*16 = 36, что означает, что уравнение x^2 - 10x + 16 = 0 имеет два корня, и это неравенство будет выполняться вне интервала между этими корнями. Решив уравнение, найдем корни: x = (10 ± √36) / 2 = 5 ± 3. Таким образом, корни равны 2 и 8. Интервалы, в которых выполняется неравенство, -∞ < x < 2 и 8 < x < ∞.

  3. Значение выражения (a-b)^2: Известно, что a + b = 5 и ab = -2. Мы можем найти a и b, используя квадратное уравнение: a = (5 + √(5^2 - 4*(-2))) / 2 = (5 + √33) / 2, b = (5 - √(5^2 - 4*(-2))) / 2 = (5 - √33) / 2. Теперь вычислим (a - b)^2: (a - b)^2 = ((5 + √33) / 2 - (5 - √33) / 2)^2 (a - b)^2 = (√33)^2 = 33.

  4. Вычисление f(27): Дано, что f(x) = √(3x). Подставляем x = 27: f(27) = √(3 * 27) = √81 = 9.

  5. Знаменатель геометрической прогрессии: Вам даны первый член a_1 = 75 и знаменатель q, также дано, что a_2 = 15. Вы можете использовать формулу для n-го члена геометрической прогрессии: a_n = a_1 * q^(n-1). Подставляя a_2 = 15 и a_1 = 75, мы получаем: 15 = 75 * q^(2-1), 15 = 75 * q, q = 15 / 75 = 1/5. Таким образом, знаменатель геометрической прогрессии равен 1/5.

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