🧮 algebra

1. **Stating the problem:** We are given two inequalities involving $x$ and $y$: $$2x + 3y < 60$$

1. **Problem Statement:** Identify a possible degree of the polynomial based on the given graph and explain the choice.

1. **Problem Statement:** Identify a possible degree of the polynomial based on the graph's behavior and explain the choice.

1. The problem is to find the value of a function or expression at $x=0$. 2. To solve this, we need the function or expression definition. Since it is not provided, let's consider

1. **State the problem:** Simplify the expression $$\frac{t - \frac{1}{t}}{t + t} \div \frac{t^2 - 2t + 1}{t}$$ where $t \neq 0$. 2. **Rewrite the expression:** The expression can

1. Let's start by stating the problem: We want to understand why at $x=0$, the value of $y$ is 20 and not 32. 2. Usually, the value of $y$ at a specific $x$ depends on the function

1. **State the problem:** We need to solve the equation $$0 = x^3 - 2x^2 - 7x + 14$$ which means finding all values of $x$ such that $f(x) = 0$. 2. **Recall the function:** The fun

1. **State the problem:** Convert the fractions (a) $\frac{1}{5}$, (b) $\frac{3}{4}$, and (c) $\frac{7}{2}$ into percentages. 2. **Formula used:** To convert a fraction to a percen

1. **Stating the problem:** Convert the given decimals into percentages. 2. **Formula:** To convert a decimal to a percentage, multiply the decimal by 100 and add the percentage sy

1. **State the problem:** Solve the equation $5x + 6 = 2x + 30$ for $x$. 2. **Write down the equation:**

1. The problem is to convert percentages into decimals. 2. The formula to convert a percentage to a decimal is: $$\text{Decimal} = \frac{\text{Percentage}}{100}$$

1. **State the problem:** Solve for $b$ in the equation $4 = \log_b(625)$. 2. **Recall the definition of logarithm:** $\log_b(a) = c$ means $b^c = a$.

1. **Stating the problem:** Convert the given percentages into decimals. 2. **Formula:** To convert a percentage to a decimal, divide the percentage value by 100.

1. **Problem Statement:** Identify which function corresponds to the given graph. 2. **Given options:**

1. **State the problem:** Solve the quadratic equation $$x^2 + 20x = -20$$ for $x$. 2. **Rewrite the equation:** Move all terms to one side to set the equation to zero:

1. **State the problem:** Simplify the expression $$\left(\frac{\sqrt{6x^3}}{\sqrt{3x}}\right) \cdot \sqrt{8x^2}$$. 2. **Recall the properties of radicals:**

1. **State the problem:** You traveled 60 miles in 2 hours. We want to find out how far you will travel in 3 hours assuming your speed remains constant. 2. **Formula used:** Speed

1. **State the problem:** We are given the ratio of men to women in a company as 3 : 5. We need to find the proportion of employees who are women. 2. **Understand the ratio:** The

1. **Stating the problem:** Jessica buys 3 pisang goreng and 2 donat for 3500.

1. **State the problem:** We are given a ratio of flour to water as 9:4 and need to find how much water corresponds to 36 cups of flour. 2. **Formula and rules:** The ratio means \

1. **State the problem:** Simplify the expression $$\frac{6x^2 + 18x - 60}{48x} + \frac{x^2 - 4}{8x}$$. 2. **Rewrite the expression:** Separate the fractions: