🧮 algebra

1. **State the problem:** Find the slope of the line passing through the points $(3, 5)$ and $(-1, 5)$. 2. **Formula for slope:** The slope $m$ between two points $(x_1, y_1)$ and

1. **State the problem:** Find the slope of the line passing through the points $(3, 0)$ and $(2, -8)$. 2. **Formula for slope:** The slope $m$ between two points $(x_1, y_1)$ and

1. **State the problem:** Find the slope of the line passing through the points $(-3, 2)$ and $(5, -1)$.\n\n2. **Formula:** The slope $m$ between two points $(x_1, y_1)$ and $(x_2,

1. The problem is to graph the linear function $B(n) = 4 - \frac{n}{3}$.\n\n2. This is a linear function of the form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept

1. সমস্যাটি হলো বিভিন্ন বীজগাণিতিক রাশির বর্গ নির্ণয় এবং সরলীকরণ করা। 2. সূত্র:

1. **Stating the problem:** Simplify the expression $$\frac{R \times \frac{R}{3}}{R + \frac{R}{3}}$$. 2. **Formula and rules:** When dividing fractions or expressions, remember tha

1. **State the problem:** We are given the linear function $y = 2x - 3$ and need to find the corresponding $y$ values for $x = -1, 0, 1$ to get three points on the line. 2. **Formu

1. **State the problem:** Simplify the expression $$4(2x-2)^2 - (2x-5)(3x+3)$$. 2. **Recall formulas and rules:**

1. **Problem 1: Solve $x^2 + x - 6 = 0$ using the graph and table.** Given the function $y = x^2 + x - 6$, we want to find the values of $x$ where $y=0$ (the x-intercepts).

1. **State the problem:** We are given the function $$N = -0.07p^2 + 0.8p + 88$$ where $N$ is the number of units sold (in thousands) and $p$ is the price (in dollars). We need to

1. **State the problem:** We are given the formula for Basal Metabolic Rate (BMR) for an adult man: $$\text{BMR} = 13.4w + 4.8h - 5.7a + 88.4$$

1. **State the problem:** We need to plot the linear function $y = x - 4$ and find some points $(x, y)$ that satisfy this equation. 2. **Formula and explanation:** The equation $y

1. **Problem Statement:** We need to complete the table of values for the linear equation $y = x + 2$ and then graph the points. 2. **Formula Used:** The equation is $y = x + 2$. F

1. Énonçons le problème : développer et réduire l'expression $$2(x+5) - 3(x+4)(3x-4)$$. 2. Rappel de la formule et règles importantes :

1. (a) **Problem:** Express $1 + i\sqrt{3}$ and $1 - i\sqrt{3}$ in the form $re^{i\theta}$ where $-\pi < \theta \leq \pi$. Then evaluate $$\left(\frac{1 + i\sqrt{3}}{1 - i\sqrt{3}}

1. The problem asks to identify the points on the graph corresponding to given ordered pairs. 2. Each ordered pair is in the form $(x,y)$ where $x$ is the horizontal coordinate and

1. **التمرين 01**: لدينا المتتاليات: \( (U_n) = \frac{n^2 + 2}{n + 2} \), \( (V_n) = \frac{1}{n} - (-1)^n \), \( (W_n) = n^2 - 10n + 30 \).

1. **State the problem:** We need to find the values of the squares in the equations: $$\frac{5}{5} + \frac{5}{10} = 10.5$$

1. **State the problem:** Solve the equation and evaluate the answer to two decimal places. 2. **Identify the equation:** Since the user did not specify an equation, let's consider

1. **State the problem:** Evaluate the expression $6^{\frac{7}{6}}$. 2. **Recall the exponent rule:** For any positive number $a$ and rational exponent $\frac{m}{n}$, we have

1. **State the problem:** Given the equation $a x^3 - 27 = (2 x - 3)(4 x^2 + b x + 9)$, find the value of the product $a b$. 2. **Recall the formula and rules:** We will expand the