🧮 algebra

1. **Problem:** Simplify the expression $$\frac{x}{p(x)} - \frac{g(x)}{r(x)}$$ where $$p(x) = x - 4$$, $$g(x) = x^2 + 8$$, and $$r(x) = x^2 - 2x - 8$$. 2. **Formula and rules:** To

1. **Problem:** Simplify the expression $$\frac{x}{p(x)} - \frac{g(x)}{r(x)}$$ where $$p(x) = x - 4$$, $$g(x) = x^2 + 8$$, and $$r(x) = x^2 - 2x - 8$$. 2. **Formula and rules:** To

1. **Problem:** Simplify the expression $$\frac{x}{p(x)} - \frac{g(x)}{r(x)}$$ where $$p(x) = x - 4$$, $$g(x) = x^2 + 8$$, and $$r(x) = x^2 - 2x - 8$$. 2. **Formula and rules:** To

1. **State the problem:** Simplify the expression $-9z + z + 9 + 1$. 2. **Identify like terms:** Like terms are terms that contain the same variable raised to the same power. Here,

1. **State the problem:** Simplify the expression $6 + 6d + (-7) + -9d$. 2. **Identify like terms:** The terms $6$ and $-7$ are constants, and the terms $6d$ and $-9d$ are like ter

1. **State the problem:** Simplify the expression $-6b + 5 + 4b + (-7)$. 2. **Combine like terms:** Group the terms with $b$ and the constant terms separately.

1. **Stating the problem:** We are given a sequence of numbers: 2.66, 2.05, 1.36, 5.29, 3.35, 1.21, 1.35, 1.42. We need to predict the next 5 digits in this sequence. 2. **Analyzin

1. **State the problem:** We need to graph the system of linear inequalities: $$y \geq \frac{x}{3} - 1$$

1. **State the problem:** Find the product of the mixed numbers $3 \frac{3}{5}$ and $2 \frac{2}{7}$. 2. **Convert mixed numbers to improper fractions:**

1. **State the problem:** We need to graph the system of linear inequalities: $$y \leq 3x - 4$$

1. **State the problem:** We need to graph the system of linear inequalities: $$y \leq 3x - 4$$

1. **State the problem:** We need to graph the system of linear inequalities: $$y \leq -2$$

1. **Problem Statement:** Fill out the chart for the quadratic function and graph the function $y = -\frac{1}{4}x^2 - 3x - 8$ using a table of values.

1. **Stating the problem:** Chery, Eunice, and Farina currently earn 25000, 28000, and 23000 respectively. Their employer plans to increase their monthly salaries by 10% at the beg

1. The problem is to evaluate the expression $2^8$. 2. The expression $2^8$ means 2 raised to the power of 8, which is multiplying 2 by itself 8 times.

1. **State the problem:** Simplify the expression $6^{-1} \times 6^{3}$. 2. **Recall the exponent multiplication rule:** When multiplying powers with the same base, add the exponen

1. **State the problem:** Solve the equation $X - |x| - 24 = 0$ for $x$. 2. **Rewrite the equation:** We want to find $x$ such that

1. **State the problem:** Simplify the expression $\left(\frac{2m^3}{n^2}\right)^2$. 2. **Recall the rule:** When raising a fraction to a power, raise both numerator and denominato

1. **State the problem:** Simplify and analyze the expression $X - |x| - 24$. 2. **Recall the absolute value definition:** The absolute value $|x|$ is defined as:

1. **State the problem:** Simplify the expression $$2 - 3^{\frac{1}{3}} \cdot 1.9 + \frac{19.5}{4^{\frac{1}{2}}} - \frac{62}{75} - 0.16$$. 2. **Recall important rules:**

1. The problem is to simplify the expression given by the user. 2. Since the user did not provide a specific expression, I cannot simplify anything without more information.