🧮 algebra

1. Gaaffii: Gatiin $x$ kan $x < x$ taasisu ni jiraa? Sababa kee ibsi. 2. Hiikkaa: $x < x$ jechuun $x$ tokko gara $x$ isa kaanii xiqqaa ta'uu isaa agarsiisa.

Let's factor the expression $x^2 - 5x - 6$ step by step! 1. Imagine you have $x^2$, which is $x$ times $x$:

1. **State the problem:** We need to determine which of the given linear equations have no solutions. 2. **Recall the rule:** A linear equation has no solution if, after simplifyin

1. The problem is to evaluate the expression $5(9^2 - 7^2) - 35$ and determine which given statements about it are correct. 2. Recall the order of operations: first evaluate expone

1. **State the problem:** Simplify the expression $$\left(-\frac{2}{3} + \frac{1}{6}\right)^2 \div \frac{5}{4}$$ and express the answer as a simplified fraction. 2. **Add the fract

1. **State the problem:** We are given the line $p$ with equation $6x + 3y = 15$. We need to find the equation of a line parallel to $p$ that passes through the point $(-1, 1)$.

1. **State the problem:** Find the equation of the line passing through the points $(2,8)$ and $(5,-6)$.\n\n2. **Formula used:** The slope $m$ of a line through points $(x_1,y_1)$

1. The problem involves understanding expressions with $x$, $p(x)$, $x^2$, and $x^2 \times p(x)$.\n\n2. Here, $x$ is a variable, and $p(x)$ typically denotes a function of $x$. For

1. **State the problem:** Find the intersection point of the first pair of lines: $$y = -4x + 1$$ and $$y = 4x + 2$$. 2. **Set the equations equal to find the intersection:** Since

1. **State the problem:** Find the equation of the line in slope-intercept form that is parallel to the line $2x + 5y = 10$ and has the same $x$-intercept as the line $3x + 4y = 15

1. Állítsuk fel az első egyenletet: $$\log(x+1) + \log(x-1) - \log(x-2) = \log 8$$ 2. Használjuk a logaritmus azonosságokat: $$\log a + \log b = \log(ab)$$ és $$\log a - \log b = \

1. **State the problem:** We are given the expression $$S = \frac{(P - 1)}{(P - 2)} \times \frac{(P - 3)}{(P - \alpha)}$$ and asked to solve it by linear equations.

1. **State the problem:** Solve the equation $$\frac{|D^2 - 3|}{|D^2 - 1|} = \frac{|D^2 - 2|}{|D^2 - 1|}$$ for $D$.

1. **State the problem:** A wristwatch is sold at an 18% loss. If sold for 69 more, there would be a 5% gain. Find the cost price (CP) of the wristwatch. Also, find the total loss

1. Let's analyze the expression $\infty^0$ where $0$ is an absolute value, not a limit. 2. By definition, any nonzero number raised to the power of 0 is 1. However, $\infty$ is not

1. The problem is to evaluate the expression $$(2^2 + 5^2)$$. 2. Recall that squaring a number means multiplying the number by itself: $$a^2 = a \times a$$.

1. **State the problem:** Expand and simplify the expression $$(2t - 5)^2$$. 2. **Formula used:** The square of a binomial $$(a - b)^2 = a^2 - 2ab + b^2$$.

1. **بيان المشكلة:** لدينا الدالة $f(x) = \frac{x^2 + x + 1}{x + 1}$ معرفة على المجال $D = ]-\infty, -1[ \cup ]-1, +\infty[$. 2. **إثبات مجال تعريف الدالة:** الدالة غير معرفة عند $

1. The problem asks to solve for $y$ in the equation $$8x - 4y = -16$$ and express it in slope-intercept form, which is $$y = mx + b$$ where $m$ is the slope and $b$ is the y-inter

1. **Problem:** Find the inverse of the function $f(x) = \frac{2x + 3}{2x - 3}$ where $x \neq \frac{3}{2}$. 2. **Formula and rules:** To find the inverse function $f^{-1}(x)$, we s

1. **State the problem:** Find the x-intercept and y-intercept of the linear equation $$-3x + 11y = 66$$. 2. **Recall the intercept definitions:**