🧮 algebra

1. **State the problem:** We need to evaluate the expressions for k, j, and i given $w=3$, $x=2$, $y=-4$, and $z=-2$. 2. **Recall the expressions:**

1. The problem is to expand and simplify the function $f(x) = (x^3 - 2x)(x^5 + 6x^2)$. 2. We use the distributive property (also called FOIL for binomials) to multiply each term in

1. The problem is to simplify the expression with multiple dots, which seems unclear. Assuming the question is about understanding or simplifying an expression with dots, please cl

1. The problem is to solve the inequality, but the inequality itself was not provided. 2. To solve an inequality, we typically isolate the variable on one side using algebraic oper

1. Diberikan fungsi $f(x) = \frac{x-1}{x+2}$ dengan $x \neq -2$ dan $g(x) = 2x + 1$. Kita diminta menentukan bentuk invers dari komposisi fungsi $(f \circ g)^{-1}(x)$. 2. Pertama,

1. The problem is to find the value of the expression or solve the given equation (please provide the specific problem for detailed steps). 2. Generally, start by identifying the t

1. **Stating the problem:** We have the inequality $$7000x_1 + 10000x_2 + 5000x_3 \leq 200000$$ and we want to understand or solve it for the variables $x_1$, $x_2$, and $x_3$.

1. **State the problem:** Solve the equation $w - 21 = 45$ for $w$. 2. **Formula and rule:** To isolate $w$, add 21 to both sides of the equation. This uses the addition property o

1. Masalah yang ditanyakan adalah bagaimana mendapatkan hasil 16 pada nomor 7. 2. Untuk menjawab ini, kita perlu mengetahui rumus atau operasi matematika yang digunakan pada nomor

1. **State the problem:** Evaluate the expression $ (5)(3-1)+4 $. 2. **Apply the order of operations (PEMDAS/BODMAS):** Parentheses first, then multiplication, then addition.

1. **State the problem:** We need to find the y-intercept and the slope of the line given by the equation $ax + 2y = 4$. 2. **Rewrite the equation in slope-intercept form:** The sl

1. **State the problem:** Simplify the expression $2^{100} - 2^{99}$. 2. **Recall the properties of exponents:** For any base $a$ and exponents $m$ and $n$, $a^m - a^n = a^n(a^{m-n

1. Stating the problem: We are given two equations involving variables $x$ and $x_2$: $$x + x \times x - x_2 = x$$

1. Problem (a): Simplify $$(2^5 - 2)(3^5 + 4^2)$$. 2. Calculate powers:

1. **State the problem:** Solve the equation $$\frac{X - 1}{X} - 2 = \frac{-X - 1}{X^2 - 2X}$$ for $X$. 2. **Rewrite the equation:** Note that $X^2 - 2X = X(X - 2)$, so the equatio

1. **State the problem:** Simplify the expression $4151 + 3\sqrt{6}$. 2. **Understand the terms:** The expression consists of a whole number $4151$ and a term with a square root $3

1. **State the problem:** Simplify the expression $$6v^2 \cdot \left( \frac{9u}{v} \right)^7 \cdot \left( \frac{v}{3u} \right)^{-2} \div \left( \frac{9u}{v} \right)^9$$. 2. **Recal

1. **State the problem:** Simplify the expression $$6v^2 \cdot \left(\frac{9u}{v}\right)^7 \cdot \left(\frac{v}{3u}\right)^{-2} \div \left(\frac{9u}{v}\right)^9$$. 2. **Recall the

1. **State the problem:** We need to find the area of a rectangular animal pen with a total fencing length of 200 meters, where one side is 60 meters. 2. **Formula used:** The peri

1. **State the problem:** We have a building 51 feet tall casting a shadow 48 feet long. A nearby statue casts a shadow 16 feet long. We need to find the height of the statue. 2. *

1. **Stating the problem:** We want to understand the method used to factor expressions like $p^2 - 1^2$ and $25v^2 - 49$ using special algebraic identities. 2. **Formula used:** T