🧮 algebra

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

1. The problem is to find the formula to determine the number of terms in an arithmetic series. 2. An arithmetic series is the sum of terms in an arithmetic sequence, where each te

1. **State the problem:** Solve for $x$ in the equation $$\frac{x - 3}{6} = \frac{x - 2}{4} - 36.$$\n\n2. **Identify the formula and rules:** To solve equations with fractions, mul

1. **State the problem:** Simplify the expression $$\frac{x^3 - 7x + 6}{x^2 + 4x - 5} \times \frac{x^2 + 9x + 20}{x^3 - 4x^2 + 5x - 2}$$. 2. **Factor each polynomial:**

1. **State the problem:** We have a cubic function $f(x) = ax^3 + bx^2 + cx - 8$ with zeros at $x = -1$ and $x = 2$, and it passes through the point $(1, -2)$. We want to find the

1. **State the problem:** Solve the equation $$\frac{3}{x+2} = 1 + \frac{2}{x-3}$$ for $x$. 2. **Rewrite the equation:**

1. **State the problem:** A watch costs 86 before tax and 87.72 after tax. We need to find the sales tax percentage.

1. **State the problem:** We need to identify the slope of the line that represents the relationship between the height the elevator rises in feet and the number of floors it passe