🧮 algebra

1. Calculons $A = \frac{4725}{2625}$. Simplifions la fraction en divisant numérateur et dénominateur par leur plus grand commun diviseur (PGCD).

1. The problem is to analyze the quadratic function $$y = -2x^2 + 12x - 10$$. 2. First, identify the coefficients: $$a = -2$$, $$b = 12$$, and $$c = -10$$.

1. The problem is to analyze the quadratic function $$y = -x^2 + 3x + 4$$. 2. First, identify the coefficients: $$a = -1$$, $$b = 3$$, and $$c = 4$$.

1. **State the problem:** We need to find the base and height of a triangular window where the area is 120 square feet, and the base is 4 feet more than twice the height. 2. **Defi

1. **State the problem:** We need to expand and simplify the expression $$(3x^2 + 4x - 10)(x + 1)$$. 2. **Apply the distributive property:** Multiply each term in the first polynom

1. **State the problem:** We have the function $f(x) = \frac{5}{2x + 1}$ defined for $x \geq 2$. We need to find:

1. نبدأ بكتابة المسألة: لدينا دالة قطعة معرفة كما يلي: $$

1. **State the problem:** We want to find the value of $z$ that makes each polynomial a perfect trinomial square. 2. **Recall the form of a perfect square trinomial:**

1. Problem b) Determine the dimensions and volume of the box if $x=20$. Assuming the box dimensions depend on $x$, we substitute $x=20$ into the given expressions for length, width

1. The problem asks to simplify the expression labeled as answer b. 2. Since the original expression for answer b is not provided, please provide the exact expression or problem st

1. Problem: Analyze the quadratic functions and find their key features such as y-intercept, zeros/roots, axis of symmetry, vertex, and graph orientation. 2. For $y = -x^2 - 8x - 1

1. **State the problem:** We are given two linear equations: $$y - 7x + 18 = 0$$

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

1. **State the problem:** Solve the system of linear equations by substitution: $$7x - 2y = 27$$

1. **State the problem:** Simplify the expression \( \frac{A}{B} \) where \[ A = \frac{(p - q)^2 + 4pq}{p^3 - q^3 - 3pq(p - q)} \quad \text{and} \quad B = \frac{p^3 + q^3 + 3pq(p +

1. Riješimo jednadžbe jednu po jednu. 1) $9^{4-x} = \frac{1}{27}$

1. **Calculer $I_2 + C$, $AB$ et $ABC$.** - Matrices données :

1. The problem is to solve the equation $2x + 3 = 11$ for $x$. 2. Start by isolating the variable term $2x$ on one side. Subtract 3 from both sides:

1. Calculer $I_2 + C$, $AB$ et $ABC$. - $I_2$ est la matrice identité $2 \times 2$: $$I_2 = \begin{pmatrix}1 & 0 \\ 0 & 1\end{pmatrix}$$

1. **تحديد صحة العبارات بالنسبة للعدد النسبي a غير المعدوم:** أ. الجداء 4a عدد سالب؟

1. **State the problem:** We want to analyze the polynomial function $$f(x) = x^4 - 6x^2 + 1$$. 2. **Rewrite the function:** Notice that the function is a quadratic in terms of $x^