🧮 algebra

1. **Problem b:** Simplify the expression $x^3 + xy$. Since this is already simplified, the expression remains $x^3 + xy$.

1. Problem: Solve the system \(\{2x + 11y = -2, x - 3y = -1\}\). 2. From the second equation, express \(x\) in terms of \(y\):

1. نبدأ بقراءة السؤال: لدينا دالة س(ص) = ص + ٩ - ١ ٩ - ١ = (س, ص) مع جدول أرقام مرفق. 2. المطلوب هو إيجاد المجال والمدى والاطراد للدالة س.

1. **State the problem:** Simplify the expression $2x^2y + 6x^2 + 4xy^2 + 12xy$ by factoring. 2. **Group terms:** Group terms with common factors:

1. **State the problem:** You have 72 apples in total, with 38 red apples and the rest green. Among all apples, 46 have worms and cannot be used for cooking. We want to find the ma

1. **State the problem:** Bert has some amount of cents. If he had 3 cents more, he would have twice as much as Georgia. If he had 4 cents less, he would have the same amount as Ge

1. The problem is to find the missing number in the series: __ 85 81 83 79 81 77. 2. Observe the pattern by looking at the differences between consecutive numbers:

1. **حل النهاية:** لدينا النهاية $$\lim_{x \to 3} \frac{3 - x + x^2}{3 - 2x}$$.

1. **Problem:** Find the domain of the piecewise function \( د(س) = \begin{cases} س + ٣ & -٣ \leq س < ٢ \\ ١ - س & س \geq ٢ \end{cases} \). Step 1: The domain includes all \( س \)

1. **State the problem:** We have three mothers with different incomes and a rebate system for before and after school care costing $10,000 per year. We want to find who has the le

1. **State the problem:** A container with 240 litres of soft drinks is shared among four teams. The first team takes $\frac{1}{3}$ of the total. The second team takes $\frac{1}{2}

1. Solve $4x^2 - 16x = 0$ by factoring: $$4x(x - 4) = 0$$

1. The problem presents several equations involving variables with deltas (\(\Delta t\), \(\Delta x\), etc.) and algebraic expressions. We will analyze and simplify each equation w

1. The problem presents a system of equations with variables $e_0$, $e_2$, $n_a$, $a_2$, $P_2$, $hf$, $x$, $T$, and constants. 2. Let's rewrite the equations clearly:

1. Problem: Find the x-coordinate of the line with slope $-2$ passing through $(3,7)$ when $y=17$. Step 1: Use point-slope form: $y - y_1 = m(x - x_1)$.

1. The problem is to analyze the function $y=3x^4-\cos x$. 2. This function combines a polynomial term $3x^4$ and a trigonometric term $-\cos x$.

1. **State the problems:** We have two problems:

1. Problem: Determine which functions are inverses of $y=\cos x$ on the interval $[0; \pi]$. - The inverse function of $\cos x$ on $[0; \pi]$ is $y=\arccos x$.

1. **State the problem:** Simplify the expression $$\frac{3}{5}x + 3 - \frac{1}{5}x - 2$$ by grouping like terms. 2. **Rewrite the expression:** Group the terms to see like terms c

1. **State the problem:** Simplify the expression $$\frac{3}{5}x + 3 - \frac{1}{5}x - 2$$. 2. **Group like terms:** Combine the terms with $x$ and the constant terms separately.

1. State the problem: Understand transformations of functions including translations, reflections, stretches, and compressions. 2. Example question 1: Given the function $f(x) = x^