🧮 algebra

1. **State the problem:** We want to find the maximum profit and the number of units $x$ that must be produced and sold to achieve this maximum profit. 2. **Given functions:**

1. **State the problem:** We want to find the production level $x$ that maximizes the profit, given the revenue function $R(x) = 6x$ and the cost function $C(x) = 0.05x^2 + 0.7x +

1. **State the problem:** Simplify the expression $4a^2 + 3a + 2 \times 5a^2 - 6a + 3$. 2. **Clarify the expression:** The expression can be interpreted as $(4a^2 + 3a + 2)(5a^2 -

1. **State the problem:** Simplify the expression $a^2 + 3a + 2 \times 5a^2 - 6a + 3$. 2. **Understand the expression:** The expression involves addition and multiplication. Accord

1. We are asked to simplify the expression $$\frac{x^2 + x + 2}{x - 1}$$. 2. The expression is a rational function where the numerator is a quadratic polynomial and the denominator

1. **Problem Statement:** Divide $\frac{3}{4}$ by $\frac{4}{7}$. Find the correct answer from the options. 2. **Formula Used:** To divide fractions, multiply the first fraction by

1. **Problem statement:** A drinking straw of length 21 cm is cut into 3 pieces. - The first piece has length $x$ cm.

1. **State the problem:** Simplify the polynomial expression $2x^3 + 4x^2 + 5x^3 + 6x^2$. 2. **Identify like terms:** Terms with the same variable and exponent can be combined. Her

1. **State the problem:** We are given two line segments VW and UX with lengths expressed as $y - 49$ and $y - 64$ respectively. We need to find the value of $y$. 2. **Analyze the

1. **State the problem:** Evaluate $$\sqrt{\frac{1}{24.56} + 4.346^2}$$ correct to 4 significant figures. 2. **Recall formulas and rules:**

1. **State the problem:** Solve the compound inequality $$2x - 1 \leq 3 + 1 < 2(x + 2)$$ and find all integral values of $x$ that satisfy it. 2. **Rewrite the inequality:** The com

1. **State the problem:** Simplify the expression $$(x^2 - 4y)^2 - (x^2 + 4y)^2$$. 2. **Recall the formula:** This expression is a difference of squares, which follows the rule $$a

1. **State the problem:** Explain why the equation uses $2g$ instead of just $g$ when solving for the number of girls. 2. **Recall the equation:** The total number of boys and girl

1. **State the problem:** There are 35 more boys than girls in a village, and the total number of boys and girls is 137. We need to find how many boys are there. 2. **Define variab

1. **State the problem:** Solve for all values of $c$ such that $5 = \left| \frac{c}{3} \right|$. 2. **Recall the definition of absolute value:** For any real number $x$, $|x| = a$

1. The problem is to solve the equation $$|6x| = 36$$ for all values of $x$. 2. Recall that the absolute value equation $|A| = B$ means $A = B$ or $A = -B$ when $B \geq 0$.

1. **Problem:** Show that $x + a + y$ is a factor of the determinant $$\begin{vmatrix} a & x & y \\ x & a & y \\ x & y & a \end{vmatrix}$$

1. **Problem 1: Find the determinant of matrix A** Given matrix $$A=\begin{bmatrix}2 & 3 & 5 \\ 4 & 1 & 6 \\ 1 & 4 & 0\end{bmatrix}$$

1. **Planteamiento del problema:** Queremos maximizar el ingreso económico $I(d)$ de una empresa de telefonía celular que ofrece disminuciones en la cuota mensual para captar nuevo

Let's look at your problem: $\frac{5x}{5x}$. 1️⃣ Imagine you have 5 apples 🍎 🍎 🍎 🍎 🍎 and you put them into 5 groups of x apples each.

Let's solve $x + x$ step by step! 🎉 **Step 1:** Imagine you have <span style='font-size: 2em;'>🍎</span> one apple.