🧮 algebra
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Solve Linear Equation 29D810
1. We are asked to solve the equation: $$6x - 2 + x = 2x + 3$$
2. Combine like terms on the left side:
Rational Equation 031Eaf
1. **State the problem:**
Solve the equation $$\frac{2x+4}{x-3} = 3$$ for $x$.
Simplify Expression Ce3C60
1. **State the problem:** Simplify the expression $$(2 - z - 1) c^2 f y^2$$.
2. **Simplify inside the parentheses:** Combine like terms inside the parentheses.
Raidiniu Reiskiniu Supaprastinimas 575456
1. Problema: Supaprastinkite raidinius reiškinius $-4(1+4a)$ ir $-7(2-3a)$.\n\n2. Pirmas reiškinys: $-4(1+4a)$. Naudojame sklaidos dėsnį: $a(b+c) = ab + ac$.\n\n3. Taikome sklaidą:
Break Even Cards 18A649
1. **Problem statement:**
A greeting cards company sells cards for 3 each. The total cost is 3000 fixed plus 1 per card variable cost.
Calculate Expression A17Fe6
1. Stated problem: Calculate the value of expression 7.a) $5^2 \cdot (9 - 2^3) + \frac{2^3}{4}$.
2. Formula and rules: Use order of operations (parentheses, exponents, multiplicati
Transposition 720275
1. The problem is to perform transposition on the equation $$v = u + ft$$ to isolate a specific variable.
2. Transposition means rearranging the equation to solve for one variable
Polynomial Division 0Fbd5E
1. **State the problem:** Divide the polynomial $12u^7 + 16u^6 + 4u^5 + 14u^3$ by $2u^4$.
2. **Formula and rules:** When dividing terms with the same base, subtract the exponents:
Polynomial Division 6235F5
1. **State the problem:** Divide the polynomial $56m^3 - 32m^2 + 8m$ by $8m$ and express the remainder as a simplified fraction if any.
2. **Write the division expression:**
Divide Polynomial Cd1108
1. **State the problem:** Divide the expression $12g^2 + 18$ by $2g$ and express the result including any remainder as a simplified fraction.
2. **Write the division as a fraction:
Polynomial Division C3D95F
1. **State the problem:** Divide the expression $4w^3 + 10w^2$ by $2w^2$ and express the result including any remainder as a simplified fraction.
2. **Write the division as a fract
Divide Polynomial A26C55
1. **State the problem:** Divide the expression $$-18j^2 + 18j + 36$$ by $$6j$$ and express the result including any remainder as a simplified fraction.
2. **Write the division as
Divide Polynomial 3D576E
1. **State the problem:** Divide the expression $20m^2 - 28$ by $4m$ and express the result including any remainder as a simplified fraction.
2. **Write the division:**
Divide Polynomial 40D813
1. **State the problem:** Divide the expression $$-3u^2 - 8u$$ by $$u$$ and express the result including any remainder as a simplified fraction.
2. **Write the division:** $$\frac{
Lines Position B031Fa
1. **Problem statement:** Find the relative position of the lines $\varepsilon_1$ and $\varepsilon_2$ in case (α):
$\varepsilon_1: 2x - 4y = 4$
No Real Roots 787043
1. **State the problem:** Find the values of $k$ such that the quadratic equation $$8x^2 + kx + 2 = 0$$ has no real roots.
2. **Recall the discriminant condition:** For a quadratic
Equacao Segundo Grau 83Ae86
1. O problema é resolver uma equação do 2º grau, que tem a forma geral $$ax^2 + bx + c = 0$$.
2. A fórmula para encontrar as raízes dessa equação é a fórmula de Bhaskara: $$x = \fr
Rational Function 16D900
1. **State the problem:** We are given the function $$y = \frac{2x + 1}{x - 4}$$ and we want to understand its behavior.
2. **Formula and rules:** This is a rational function, whic
Solve Linear System 04A82E
1. **State the problem:** Solve the system of equations:
$$x - 4y = -5$$
Simplify Expression 340B26
1. **Problem statement:** Simplify the expression $$4(3x - 1) + 6(-x - 3)$$ and find which option matches the result.
2. **Distribute the constants:**
Simplify To Number 621A16
1. The problem is to simplify the expression "u must to one number" which seems to imply converting or simplifying a variable or expression to a single number.
2. Since the problem