🧮 algebra

1. The problem states: If \(\text{monopoly}\) is a parallelogram and given expressions are \(x = 3x - 1\) and \(2x - 1\) (assumed as the other expression related to sides or angles

1. Given functions are $f(x) = \sqrt{x - 3} - 2$ and $g(x) = \frac{x - 7}{\sqrt{x - 3} + 2}$. The domain for $f$ is $x \geq 3$ because of the square root. 2. You provided a table f

1. The problem asks us to graph the piecewise function: $$f(x) = \begin{cases} 3 - 2x & \text{if } x < 2 \\ 2x - 5 & \text{if } x \geq 2 \end{cases}$$

1. **Stating the problem:** We have three consecutive positive integers, and $n$ is the middle integer. We multiply these three integers, then add $n$ to the product, and we want t

1. Stating the problem: Let the three consecutive positive integers be $n-1$, $n$, and $n+1$, where $n$ is the middle integer. 2. Writing the product of these three consecutive int

Problem: Compute $0.02^3\times10^{-1}$.\n\n1. Rewrite the number in scientific notation: $0.02=2\times10^{-2}$.\n\n2. Cube the scientific form: $(2\times10^{-2})^3 = 2^3 \times (10

1. The problem asks to identify which of the given functions is NOT a polynomial. Since the specific functions are not provided, the key is to recall that a polynomial function has

1. **State the problem:** Simplify or factor the expression $10a^2 - 15ab + 2a - 3b$. 2. **Group terms:** Group the expression in pairs to make factoring easier:

1. State the problem: Calculate $0.02^3 \times 10^{-1}$.\n\n2. Calculate $0.02^3$: Since $0.02 = \frac{2}{100} = \frac{1}{50}$, we have \n$$0.02^3 = \left(\frac{1}{50}\right)^3 = \

1. We start with the expression: $$15a^2 - 15ab + 2a - 3b$$. 2. Group terms to factor by grouping: $$(15a^2 - 15ab) + (2a - 3b)$$.

1. **Problem 1:** Solve the equation $$-52 = 8(x + 3)$$ for $$x$$. 2. **Step 1:** Distribute the 8 on the right side:

1. El problema parece referirse a una sustitución en una expresión o ecuación, cambiando el número 5 por 6. 2. Para resolver esto, se debe identificar dónde está el número 5 y reem

1. Solve the system \(\begin{cases} 7 = y + \frac{5}{x} \\ 13 = 5y - 3x \end{cases}\) Step 1: From the first equation, express \(y\):

1. The problem is to analyze and understand the function given by the equation $y = x^2 + 2x + 1$.\n\n2. First, recognize that the expression is a quadratic polynomial. We can fact

1. We are asked to convert the fraction $\frac{128}{495}$ into a decimal. 2. To do this, we perform the division $128 \div 495$.

1. The problem is to factor the quadratic expression $$x^2 + 5x + 6$$. 2. To factor a quadratic, look for two numbers that multiply to the constant term ($6$) and add up to the coe

1. **State the problem:** Convert the fraction $\frac{128}{495}$ into its decimal form. 2. **Understand what is asked:** We want to divide 128 by 495 to get a decimal number.

1. The problem is to simplify the fraction $\frac{256}{990}$.\n2. Start by finding the greatest common divisor (GCD) of 256 and 990.\n3. Prime factorization of 256 is $2^8$.\n4. Pr

1. The problem states the side lengths of an equilateral triangle as expressions: $$3w + 8$$, $$5w - 14$$, and $$2w + 19$$. 2. Since all sides of an equilateral triangle are equal,

**Problem:** There are 12 more giraffes than tigers.

1. We are asked to multiply the fractions $\frac{12}{7}$ and $\frac{9}{5}$. 2. Multiply the numerators: $12 \times 9 = 108$.