🧮 algebra

1. **State the problem:** Simplify the expression $39 + 10 - 3 - 9 + 3$. 2. **Recall the rule:** Addition and subtraction are performed from left to right.

1. **State the problem:** Simplify the expression $9x - x - 8x + 6x - 4x + 9X$. 2. **Identify like terms:** All terms contain the variable $x$ (note that $X$ is the same as $x$ sin

1. **Problem Statement:** A colony of ants starts as a single group and splits equally at each branching point until they reach two food sources: one near a mango tree and the othe

1. **State the problem:** Simplify the expression $$-W + -9w + -8 + 1 + -5w + -10w$$. 2. **Identify like terms:** Terms with $w$ are $$-W, -9w, -5w, -10w$$ and constant terms are $

1. **State the problem:** Simplify the expression $$-2w + 8 + (-10) + (-3w) + (-10) + (-9W)$$. 2. **Identify like terms:** Terms with $w$ or $W$ are like terms (assuming $w$ and $W

1. **State the problem:** We want to find the number of 5-star evaluations $x$ needed to raise the current CSAT score $a$ (based on $b$ evaluations) to a target score of 4.70. 2. *

1. **Planteamiento del problema:** Tenemos la expresión $16x^5 y^3 + 24x^4 y^3 - 12x^2 y^2$ cm$^2$ y queremos factorizarla para simplificar o entender mejor su estructura. 2. **Fór

1. **State the problem:** We need to find the value of the constant $a$ given that the coefficient of $x$ in the expansion of $(2 + ax)^3$ is 96. 2. **Recall the binomial expansion

1. El problema es encontrar el dominio, rango, intervalos donde la función $F(x) = -\frac{1}{2}|x+1| + \frac{1}{3}$ crece y decrece. 2. La función involucra un valor absoluto, por

1. **State the problem:** Simplify the expression $$-\frac{x^2}{y^2}$$. 2. **Recall the rules:** The expression is a fraction with a negative sign in front. The numerator is $$x^2$

1. El problema es encontrar la función dada: $$F(x) = -\frac{1}{2} |x+1| + \frac{1}{3}$$. 2. La función involucra el valor absoluto, que se define como:

1. **Problem:** Simplify each algebraic expression involving multiplication and division of monomials with variables $m$ and $n$. 2. **Formula and rules:**

1. **State the problem:** We have a rectangular section with base length $3x$ and area $6x^2 + 9x$. We want to find the height of the rectangle. 2. **Formula used:** The area $A$ o

1. The problem asks to convert the fraction $\frac{8}{9}$ into its decimal and percent forms. 2. To convert a fraction to a decimal, divide the numerator by the denominator: $$\fra

1. The problem is to find the decimal form of the fraction $\frac{8}{9}$.\n\n2. The formula to convert a fraction to a decimal is to divide the numerator by the denominator: $$\tex

1. **State the problem:** Simplify the expression $$(m-2)(m^2+5m-1)$$. 2. **Formula used:** To simplify the product of two expressions, use the distributive property: $$a(b+c) = ab

1. **State the problem:** Simplify the expression $$(20m^3+14m^2-9)-(8m^3+5m^2-4)$$. 2. **Formula and rules:** When subtracting polynomials, distribute the minus sign to each term

1. Masalah: Diberikan fungsi $f(x) = 9 - x^2$. Kita akan menganalisis fungsi ini dan menentukan beberapa sifat pentingnya. 2. Rumus dan aturan: Fungsi ini adalah fungsi kuadrat den

1. Masalah ini meminta kita menggunakan fungsi dari soal sebelumnya. Namun, karena fungsi sebelumnya tidak disebutkan, saya akan menjelaskan cara umum menggunakan fungsi dalam mate

1. Simplify the following expressions. (a) Simplify $28a - 3[5a - (-7b)] + 18b$.

1. The problem asks to find the y-intercept and x-intercept of each line A, B, C, D, and E from the graph. 2. The y-intercept is the point where the line crosses the y-axis (x=0).