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🧮 algebra

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Graph Inequality 3Db474
1. State the problem: Graph the inequality $3x+2<y$. 2. Rewrite in slope-intercept form: this is equivalent to $y>3x+2$.
Function Intersection 38223C
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:
Factor Other C6A764
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
Chiziq Tenglama 9Ea0Fe
1. Muammo: Chiziqli tenglama topish. 2. Chiziqli tenglama umumiy ko'rinishi: $$ax + b = 0$$, bu yerda $a$ va $b$ - sonlar, $a \neq 0$.
Matrices Systeme 0Ff1F6
1. **Énoncé du problème** : Résoudre les exercices donnés, notamment les calculs matriciels, statistiques, dérivées, primitives, limites, et étude de fonctions. ---
Solve Linear Equation 55D699
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
Solve 2 Cbcece
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.
Modulus Equation 16Bdd0
1. **Problem:** Solve the equation $|x^2 - 14| = 5x$ for $x > 0$. 2. **Formula and approach:** Since the equation involves an absolute value, we consider two cases:
Comparer Fractions 5Ababb
1. Énoncé du problème : Comparer les nombres $A = \frac{x}{x+1}$ et $B = \frac{y}{y+1}$ avec $0 < x < y$. 2. Formule et règles importantes : Pour comparer deux fractions de la form
Comparer Fractions Ab7312
1. **Énoncé du problème :** Comparer les nombres $A = \frac{x}{x+1}$ et $B = \frac{y}{y+1}$ avec $0 < x < y$. 2. **Formule et règles importantes :** Pour comparer deux fractions de
Polynomial Equation 5Da57E
1. **Problem Statement:** We are given a polynomial curve with specific behavior: it starts high near $y=300$ at $x=0$, descends to a minimum between $x=5$ and $x=10$, rises to a l
Solve Quadratic Eda408
1. The problem is to solve the equation $x^2 = x + 2$ for $x$. 2. We start by rewriting the equation to set it equal to zero: $$x^2 - x - 2 = 0$$
Simplify Expression Ac9E1D
1. **State the problem:** Simplify the expression $\frac{3X+24}{-6}$. 2. **Formula and rules:** When dividing a sum by a number, you can divide each term separately by that number:
Simplify Expression B59F2D
1. **State the problem:** Simplify the expression $\frac{1}{3}x \cdot 0.36x$. 2. **Recall the multiplication rule for coefficients and variables:** When multiplying terms, multiply
Equivalent Expressions C76994
1. The problem asks to write three expressions equivalent to the given expression. 2. The original expression is $7.26 \times 5x \times 7$.
Absolute Value Inequality 464968
1. The problem involves solving the inequality $$2 \leq |x| - |x| + 5 \geq$$ but the expression is incomplete and unclear. 2. Since the inequalities are incomplete, we cannot deter
Solve P Equation 65Bb93
1. **State the problem:** Solve the equation $p - 1 = 5p + 3p - 8$ for $p$. 2. **Write down the equation:**
Linear Equation 8D6244
1. **State the problem:** Solve the equation $4m - 4 = 4m$ for $m$. 2. **Write down the equation:**
Ellipse Farthest Points B999B9
1. **State the problem:** Find the points on the ellipse $$64x^2 + y^2 = 64$$ that are farthest from the point $ (1,0) $. 2. **Rewrite the ellipse equation:** Divide both sides by
Expression Simplification 089D76
1. **State the problem:** Simplify the expression $$6 \left( \frac{1}{4} = \frac{1}{2} \right) - 2^3 \times 0.75$$. Note that the equal sign inside the parentheses seems to be a mi
Line Equation 88Be02
1. The problem is to find the equation of the line passing through the points $(-1, 2)$ and $(3, 4)$. 2. The formula for the slope $m$ of a line through two points $(x_1, y_1)$ and