🧮 algebra

1. **State the problem:** We need to graph the line given by the equation $2x - 3y = 6$ using its x- and y-intercepts. 2. **Find the x-intercept:** The x-intercept occurs where $y=

1. **State the problem:** We need to graph the line given by the equation $3y - x = 6$ by finding its x- and y-intercepts. 2. **Rewrite the equation:** The equation is $3y - x = 6$

1. **State the problem:** We are given the equation $y + x = 1$ and a table of $x$ values for which we need to find the corresponding $y$ values. 2. **Formula and rules:** The equa

1. Midpoint formula: $$M=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$$ A. Find the midpoint:

1. Let's start by stating the problem clearly: You asked me to "do that," which I interpret as providing math assistance following the specified format. 2. Since no specific math p

1. The problem asks us to complete the table for the equation $4x - 1 = y$ by finding the values of $y$ for given $x$ values. 2. The formula is $y = 4x - 1$. This means for each $x

1. The problem is to select the graph representing the inequality $x - 3y < 4$. 2. First, rewrite the inequality in slope-intercept form $y = mx + b$ to understand the boundary lin

1. **Problem statement:** A steamer and a motor boat cover the same distance in 7 hours 20 minutes and 10 hours 40 minutes respectively. We need to find the ratio of their speeds.

1. The problem is to identify the graph of the linear function $y = -2x + 3$. 2. The formula for a linear function is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercep

1. **State the problem:** We need to graph the inequality $$2y \geq -6x + 8$$ and determine which region is shaded. 2. **Rewrite the inequality:** Divide both sides by 2 to isolate

1. The problem is to graph the linear equation $y = -2x - 4$ using the slope-intercept form. 2. The slope-intercept form of a line is given by the formula:

1. **הגדרת הבעיה:** נתונה הסדרה $a_n = \frac{1}{\sqrt{5}} \left( \left(\frac{1+\sqrt{5}}{2}\right)^n - \left(\frac{1-\sqrt{5}}{2}\right)^n \right)$ עבור $n \geq 1$.

1. Masalah yang diberikan adalah menghitung nilai dari deret: 10 – 12 + 14 + 16 – 18 + 20 + 22 – 24 + 26 + \cdots + 100 – 102 + 104. 2. Perhatikan pola tanda dan angka: tanda minus

1. Hitung nilai dari deret: $$10 - 12 + 14 + 16 - 18 + 20 + 22 - 24 + 26 + \cdots + 100 - 102 + 104.$$\n\n2. Diketahui jumlah 7 bilangan dalam barisan aritmetika adalah 119 dan has

1. **State the problem:** Solve the system of equations using the elimination method: $$12x + 15y = 33$$

1. **State the problem:** Solve the system of equations using elimination method. Given equation: $$12x + 15y = 33$$

1. **State the problem:** Solve the system of equations using elimination method. Given equation: $$12x + 15y = 33$$

1. **State the problem:** Solve the system of equations using the elimination method: $$4x - 6y = 9$$

1. **State the problem:** We are given the equation $$(3x - d)^2 = ax^2 - 3kx + 49$$ and need to find the values of $a$, $k$, and $d$. 2. **Expand the left side:** Use the formula

1. **State the problem:** Solve the system of equations using the elimination method: $$4x - 6y = 9$$

1. **State the problem:** Solve the simultaneous equations: $$x + 2y = 13$$