🧮 algebra

1. Задача: Решить неравенство $2x + 1 > -5$. 2. Формула и правило: Чтобы решить линейное неравенство, нужно изолировать переменную $x$ на одной стороне, выполняя операции, которые

1. **State the problem:** Calculate the value of $10 - \frac{2}{3} \times 6$. 2. **Recall the order of operations:** Multiplication and division are performed before addition and s

1. **State the problem:** Simplify the expression $\frac{10-2}{3} \times 6$. 2. **Apply the order of operations:** First, perform the subtraction in the numerator.

1. **State the problem:** Solve the equation $9^x - 6^x = 4^x$ for $x$. 2. **Rewrite the bases as powers of primes:**

1. **بيان المشكلة:** لدينا عدة متباينات تمثلت بيانيًا ونريد كتابة المتباينة الصحيحة لكل تمثيل وحلها.

1. **Problema:** Resolver la ecuación $$\left[ \left( \frac{3}{7} \right)^3 - \left( \frac{3}{4} \right)^{-2} \right]^{-2} = \left( \frac{1}{5} - \sqrt{\frac{1}{8}} \right)^{-2}$$

1. **Planteamiento del problema:** Se nos pide simplificar la expresión $$W = \left(\frac{1+i}{1-i}\right)^5 + \left(\frac{1-i}{1+i}\right)^9$$ y determinar cuál de las opciones A)

1. **State the problem:** We are given a linear function $y = f(x)$ with a positive slope passing through the origin, and its reciprocal function $y = \frac{1}{f(x)}$ with a vertic

1. **Stating the problem:** We are given the quadratic function $f(x) = 2(x+1)^2 + 1$ and asked to find the vertex coordinates.

1. **State the problem:** Given the equation $$2^{5x} \times 4^{9y} = \frac{1}{8}$$, show that $$5x + 2y = -3$$. 2. **Rewrite the bases:** Note that $$4 = 2^2$$ and $$\frac{1}{8} =

1. **State the problem:** Given the equation $$2x + 3y = 4 \times \frac{1}{8}$$, show that $$5x + 2y = -3$$. 2. **Simplify the given equation:** Calculate the right side:

1. **Stating the problem:** Calculate the product of the vectors or pairs given, starting with the first: $-(0,5) \times 1 \times 2 = 0,25$. 2. **Formula and rules:** Assuming the

1. **State the problem:** Solve for $y$ in the equation $X = 17 - 4y$. 2. **Formula and rules:** To isolate $y$, we need to rearrange the equation by moving terms and dividing both

1. **State the problem:** Simplify the expressions: a. $\ln e^{0.3x}$

1. **Stating the problem:** Za kateri $x$ je zaporedje $\frac{3x-1}{2}, \frac{4x+3}{4}, \frac{6x+9}{2}$ aritmetično? 2. **Formula for arithmetic sequence:** Zaporedje je aritmetičn

1. **State the problem:** Bob wants to buy three shirts priced at $49.96 each. The store offers a discount: buy two shirts, get 50% off the third shirt. After applying the discount

1. **State the problem:** Xander bought three shirts for $13.00 each. A 5% shipping and handling fee was added to the cost of the shirts. We need to find the total amount Xander pa

1. **State the problem:** We are given the quadratic function $$f(x) = \frac{3}{4}(x - 6)^2 + 2$$ and asked to plot the vertex and another point on the parabola. 2. **Identify the

1. **State the problem:** We need to graph the quadratic function $$f(x) = 8(x - 4)^2$$ in vertex form. 2. **Recall the vertex form of a quadratic function:** $$f(x) = a(x - h)^2 +

1. **State the problem:** We need to express the function $g(x) = 2x^2 - 13x - 7$ in factored form, find its zeros, the equation of the axis of symmetry, and the coordinates of the

1. **State the problem:** Solve the equation $$\frac{2x^{2} - 18x}{x} = 0$$ for $x$. 2. **Rewrite the equation:** The expression is a fraction equal to zero. A fraction equals zero