🧮 algebra

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.

1. State the problem: Graph the inequality $3x+2<y$. 2. Rewrite in slope-intercept form: this is equivalent to $y>3x+2$.

1. The problem asks to find the $x$ value where the two functions $f(x) = x + 3$ and $g(x) = -x - 5$ are equal. 2. To find the solution, set the two functions equal to each other:

1. **State the problem:** We are given the expression $56x^4y^3 - 42x^2y^6$ and one factor $14x^2y^3$. We need to find the other factor. 2. **Formula and rule:** If $A = B \times C

1. Muammo: Chiziqli tenglama topish. 2. Chiziqli tenglama umumiy ko'rinishi: $$ax + b = 0$$, bu yerda $a$ va $b$ - sonlar, $a \neq 0$.

1. **Énoncé du problème** : Résoudre les exercices donnés, notamment les calculs matriciels, statistiques, dérivées, primitives, limites, et étude de fonctions. ---

1. **State the problem:** Solve the equation $$\frac{5x - 8}{2} = \frac{5x}{6}$$ for $x$. 2. **Formula and rules:** To solve equations with fractions, multiply both sides by the le

1. The problem is to solve the equation: $$2$$. 2. Since the equation is simply the number 2, it means the solution is the value itself.