🧮 algebra

1. **Problem:** Calculate the sum of matrices $$A=\begin{bmatrix}1 & 2\\3 & 4\end{bmatrix}$$ and $$B=\begin{bmatrix}5 & 6\\7 & 8\end{bmatrix}$$. 2. **Formula:** Matrix addition is

1. **State the problem:** Simplify the expression $$18 - \frac{25}{18} - 25 - 20 + 4$$ where the division applies only to 25 divided by 18. 2. **Recall order of operations:** Divis

1. Let's clarify what "interval" means in a math context. An interval is a range of numbers between two endpoints, often used to describe where a function is defined or where a sol

1. The problem asks to solve the equation for the "left" case, which implies we need to clarify the original equation or context. Since the user said "solve same question for left,

1. **State the problem:** Solve the equation $Y + 3 = \frac{3x}{4} \times 2$ for $Y$. 2. **Rewrite the equation:** The equation is $Y + 3 = \frac{3x}{4} \times 2$.

1. **State the problem:** Simplify the expression $Y + 3^2 \cdot \frac{3x}{4} - 2$. 2. **Recall the order of operations:** Use PEMDAS (Parentheses, Exponents, Multiplication and Di

1. **State the problem:** Simplify the expression $7-(x-2.5)^2-6.25$. 2. **Recall the formula:** The expression involves a squared binomial $(x-2.5)^2$ and constants.

1. **Problem statement:** Simplify the expression $$\frac{x^3 - 4x^2 + 5x - 2}{(x - 1)^2}$$. 2. **Recall the formula and rules:** To simplify a rational expression, factor the nume

1. **Understand the problem:** We want to find the minimum number of cookies to sell to earn a profit of at least 2000.

1. **Understand the problem:** We want to find the minimum number of cookies to sell to earn a profit of at least 2000.

1. **Understand the problem:** We want to find the minimum number of cookies to sell to earn a profit of at least 2000.

1. **Stating the problem:** A group of students wants to sell homemade cookies at 25 each. The total cost for ingredients and packaging is 1000. They want to earn a profit of at le

1. **Understand the problem:** We want to find the minimum number of cookies to sell to earn a profit of at least 2000.

1. **State the problem:** A group of students wants to sell homemade cookies at 25 each. The total cost for ingredients and packaging is 1000. They want to earn a profit of at leas

1. **State the problem:** A group of students wants to earn a profit of at least 2000 by selling cookies at 25 each. The total cost for ingredients and packaging is 1000. We need t

1. Let's state the problem: We need to solve or analyze the given mathematical expression or equation (please provide the specific problem for detailed steps). 2. The formula or me

1. The problem asks to redo part B, but since the original problem is not provided, let's assume part B involves solving or simplifying an algebraic expression or equation. 2. To p

1. **State the problem:** Simplify the expression $4x^2y^2 \cdot 5xyz$. 2. **Recall the multiplication rule for coefficients and variables:**

1. **State the problem:** Simplify the expression $8y^6(8x + 4y)$. 2. **Formula and rules:** Use the distributive property: $a(b + c) = ab + ac$.

1. **State the problem:** Simplify the expression $4(3x - y)$. 2. **Formula used:** Use the distributive property of multiplication over subtraction: $$a(b - c) = ab - ac$$

1. The problem asks to expand and simplify the expression $7(5k - 6)$ and write it in the form $ak - b$ where $a$ and $b$ are numbers. 2. Use the distributive property formula: $$a