🧮 algebra

1. The problem is to solve the equation $2x + 3 = 11$ for $x$. 2. We use the basic algebraic principle: to isolate $x$, perform inverse operations to both sides of the equation.

1. **State the problem:** Calculate the value of the expression $-4(-1)(-14)$. 2. **Recall the multiplication rules for signs:**

1. The problem is to simplify the expression $5^1 \times 2^x$. 2. Recall that $5^1$ means 5 raised to the power of 1, which is simply 5.

1. The problem is to arrange the fractions $\frac{7}{12}$, $\frac{1}{2}$, and $\frac{2}{3}$ in ascending order, i.e., find $a < b < c$ where $a$, $b$, and $c$ are these fractions.

1. **Stating the problem:** We want to arrange fractions in order of size, from smallest to largest or vice versa. 2. **Formula and rules:** To compare fractions, we can use the co

1. Muammo: Kompleks sonni darajaga ko'tarish formulasi va misollar bilan tushuntirish. 2. Kompleks sonni darajaga ko'tarish formulasi De Moivre teoremasiga asoslanadi:

1. **State the problem:** We need to determine which of the given equations is true for all positive values of $x$ and $y$. 2. **List the equations:**

1. **State the problem:** Solve the inequality $2x^2 + 6 > 40$ to find the values of $x$ that satisfy it. 2. **Rewrite the inequality:** Subtract 40 from both sides to set the ineq

1. **State the problem:** Simplify and solve the expression $$\frac{8.988 \times 10^9 \times (-7.8 \times 10^{-12}) \times 5.3 \times 10^{-6}}{0.35}$$. 2. **Recall the rules:** Whe

1. **State the problem:** Solve the expression $$\frac{8.988 \times 10^9 \times (-7.8 \times 10^{-12}) \times 5.3 \times 10^6}{0.35}$$.

1. The problem is to simplify the expression $9m^{\frac{2}{3}} - 5m^{\frac{3}{4}}$. 2. This expression involves subtracting two terms with different fractional exponents on the var

1. **State the problem:** We want to find the coordinates of points on the conic given by the polar equation $r = \frac{4}{4 - 2 \cos \theta}$ to help sketch the graph. 2. **Recall

1. Simplify the following expressions involving indices. (i) Simplify $a^2 (2a^{-1})^2$:

1. **State the problem:** We need to sketch the graph of the conic given by the polar equation $$r = \frac{4}{4 - 2 \cos \theta}$$ and clearly label the directrices. 2. **Recall th

1. The problem is to find the coordinates of a point, but the specific details or equation are missing from the question. 2. To find coordinates, we typically need an equation or a

1. **Problem Statement:** Find the eccentricity and name of the conic given by the polar equation $$r = \frac{4}{4 - 2 \cos \theta}$$.

1. **State the problem:** Solve the system of equations: $$6x - 5y = 12$$

1. **State the problem:** We are given two equations: $$6x - 5y = 12$$

1. **State the problem:** Simplify the expression $$\sqrt{3^{\frac{6}{25}}}$$. 2. **Recall the rule:** The square root of a number is the same as raising that number to the power o

1. **State the problem:** Solve the system of equations: $$y=5x-3$$

1. Туяа, Марлаа хоёр нийт 36000 төгрөгийг 5:7 харьцаатай хувааж авсан. 2. Хуваах харьцаа нь 5 + 7 = 12 хэсэг гэж ойлгоно.