🧮 algebra

1. **State the problem:** Simplify the expression given: $$4 + (x)(1 - x^2)(1 + x^2) + 5, 10x - x, 6, 5 + x - 4, 7, + 3c(2)$$ 2. **Identify and simplify each part step-by-step:**

1. **Énoncé du problème :** Nous avons la formule de la circonférence d'un cercle : $$C = \pi d$$ où $C$ est la circonférence et $d$ est le diamètre.

1. **State the problem:** We need to write an equation for the height $H$ of a plant in terms of time $t$ months after Scarlett bought it. 2. **Identify given information:** The pl

1. **State the problem:** We need to graph the linear function $y = -x + 5$. 2. **Formula and explanation:** This is a linear equation in slope-intercept form $y = mx + b$, where $

1. The problem asks to write an inequality for a graph showing a horizontal number line with an arrow pointing left from an open circle at -4. 2. An open circle at -4 means the val

1. The problem asks to write inequalities for given number line graphs. 2. For graph A: A closed dot at -4 with shading rightwards to 7 means $m \geq -4$.

1. The problem is to interpret the inequality $4 \geq m$ and identify the correct graph representation. 2. The inequality $4 \geq m$ means $m$ is less than or equal to 4.

1. The problem is to represent the inequality $-2 \leq b$ on a number line. 2. The inequality $-2 \leq b$ means that $b$ is greater than or equal to $-2$.

1. The problem is to graph the inequality $n < 5$. 2. The inequality $n < 5$ means all values of $n$ are less than 5, but not equal to 5.

1. The problem is to solve exercise n1, but since no specific details are given, let's assume it is a basic algebraic problem. 2. Typically, such exercises involve solving equation

1. The problem is to analyze the function $g(x) = x^2 + 5$. 2. This is a quadratic function in the form $g(x) = ax^2 + bx + c$ where $a=1$, $b=0$, and $c=5$.

1. **State the problem:** Solve the equation $x^2 - 5x + 6 = 0$. 2. **Formula and rules:** This is a quadratic equation of the form $ax^2 + bx + c = 0$. We can solve it by factorin

1. **State the problem:** Simplify the expression $$\sqrt{x}244 + (-19)x^2$$. 2. **Rewrite the expression:** The expression is $$244\sqrt{x} - 19x^2$$.

1. **Problem Statement:** Compute the following complex number expressions:

1. The problem is to graph the function $g(x) = x^2 + 5$. 2. This is a quadratic function in the form $g(x) = ax^2 + bx + c$ where $a=1$, $b=0$, and $c=5$.

1. **State the problem:** We need to order the numbers $2 \frac{7}{10}$, $\frac{7}{2}$, $3.1$, $\frac{49}{5}$, $\frac{29}{4}$, and $3 \frac{9}{20}$ from smallest to biggest. 2. **C

1. **State the problem:** Solve the equation $$-1 + 3 \times \frac{9}{26} = 6 \times \frac{5}{11}$$. 2. **Recall the order of operations:** Multiplication must be done before addit

1. The problem is to understand how to represent multiplication in math expressions when the multiplication sign is not explicitly shown. 2. In algebra and arithmetic, multiplicati

1. **State the problem:** Find the highest common factor (HCF) of 495 and 522. 2. **Recall the formula and rules:** The HCF of two numbers is the product of the prime factors commo

1. The problem asks us to write 128 as a product of its prime factors. 2. Prime factorization means expressing a number as a product of prime numbers only.

1. **State the problem:** We need to find the lowest common multiple (LCM) of 105 and 539 using their prime factor trees. 2. **Prime factorization from the trees:**