🧮 algebra

1. **State the problem:** Factor out the greatest common factor (GCF) from the polynomial $$a^7 b^6 - a^3 b^2 + a^2 b^5 - a^2 b^2$$. 2. **Identify the GCF:**

1. **State the problem:** Factor the expression $25x - 75y + 25$. 2. **Identify the greatest common factor (GCF):** The coefficients are 25, -75, and 25. The GCF of 25, 75, and 25

1. **State the problem:** Factor out the greatest common factor (GCF) from the polynomial $$x^7 + 9x^6$$. 2. **Identify the GCF:** The terms are $$x^7$$ and $$9x^6$$. The GCF of th

1. **State the problem:** Factor out the greatest common factor (GCF) from the polynomial $9x + 18$. 2. **Identify the GCF:** The terms are $9x$ and $18$. The GCF of $9$ and $18$ i

1. **State the problem:** Factor out the greatest common factor (GCF) from the polynomial $9x + 18$. 2. **Identify the GCF:** The terms are $9x$ and $18$. The GCF of $9$ and $18$ i

1. **State the problem:** Find the greatest common factor (GCF) of the terms $63x^2y$, $9x^3y^4$, and $90x^3y$. 2. **Recall the formula and rules:** The GCF is found by taking the

1. **State the problem:** Find the greatest common factor (GCF) of the terms $91x$ and $143$. 2. **Prime factorization:**

1. Problem: Evaluate the expression $ (+5) + (+7) + (+12) $ from left to right. 2. Use the rule for addition of integers: add the numbers stepwise.

1. The problem states that the point $(3, -5)$ lies on the graph of $y = f(x)$. 2. We need to find which point lies on the graph of $y = f(x + 3)$.

1. **State the problem:** Solve the simultaneous equations: $$5p - 3q = 16$$

1. The problem states that the point $(-4, -3)$ lies on the graph of $y = f(x)$. We need to find which point lies on the graph of $y = f(x) + 2$. 2. The transformation $y = f(x) +

1. The problem is to express the fraction 28 over 3 as a mixed number or decimal. 2. The fraction is given as $\frac{28}{3}$.

1. The problem asks to identify the graph of a function, but no specific function or options were provided. 2. To show the graph of a function, we need the explicit function formul

1. The problem asks to identify the graph of a function, but the function or options are not provided. 2. To solve such a problem, we need the explicit function or the list of opti

1. **Problem Statement:** We need to analyze the function $$f(x) = -2\log_3(x + 4)$$ and find points to sketch the graph, label asymptotes, intercepts, and transformations. 2. **Ba

1. Problem: Sketch the function $y = -2 \log_3 (x + 4)$ and state its domain, range, asymptotes, and intercepts. 2. Domain: The argument of the logarithm must be positive:

1. **State the problem:** Meredith's height is 2/3 of Bianca's height plus 32 inches. Meredith is 60 inches tall. We need to find Bianca's height in inches. 2. **Write the equation

1. **State the problem:** We need to find the values of $x$ and $y$ given some conditions or equations (not provided in the prompt). 2. **Identify the equations:** Since no equatio

1. **State the problem:** Solve the equation $$\frac{2x + 1}{3y - 8} = \frac{x + 7}{y + 5}$$ for $x$ and $y$. 2. **Cross-multiply to eliminate the fractions:**

1. The problem asks for the constant rate of change between time and calories burned from the given table. 2. The rate of change formula is \[ \text{rate of change} = \frac{\text{c

1. **State the problem:** Solve the equation or expression given by the user. Since no specific problem was provided, please provide the exact problem to solve. 2. **Formula and ru