🧮 algebra

1. The problem is to analyze the linear function $y = 3x + 6$. 2. The formula for a linear function is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

1. **Problem A: Sketch the graph of the relation $y=1-x^3$.** 2. This is a cubic function where $y$ depends on $x$ as $y=1-x^3$.

1. The problem asks to sketch the graph of a relation, but no specific relation is given. 2. To sketch a graph, we need the equation or set of points defining the relation.

1. The problem is to sketch the function $y = \text{itt}$. However, "itt" is not a standard mathematical function or expression. 2. To proceed, please clarify or provide the exact

1. **Problem A: Sketch the graph of the relation $y=1-x^3$ and find its domain and range.** 2. The relation is given by the function $y=1-x^3$. This is a cubic function shifted ver

1. **Problem A:** Sketch the graph of the relation $y=1-x^3$ and find its domain and range. 2. The formula is $y=1-x^3$. This is a cubic function shifted up by 1.

1. **Problem Statement:** Given two functions $f(x) = 3x - 1$ and $g(x) = 2x + 5$, we need to find: (i) $fg(x)$ (composition of $f$ after $g$),

1. **State the problem:** Simplify the expression $$\frac{1}{2} \times \frac{4}{7} \times \left(\frac{1}{4} \times \frac{3}{8}\right) \div \frac{1}{8}$$. 2. **Recall the rules:**

1. **State the problem:** Factor the trinomial $$3x^2 + 14x + 8$$. 2. **Recall the factoring formula:** For a quadratic trinomial $$ax^2 + bx + c$$, we look for two numbers that mu

1. **State the problem:** Simplify the expression $$\frac{3}{4}\left(\frac{1}{2}+\frac{1}{8}\right) \div \frac{2}{1/4}$$. 2. **Simplify inside the parentheses:**

1. **State the problem:** Factor the trinomial $$5x^{2} + 31x + 30$$. 2. **Recall the factoring formula:** For a quadratic trinomial $$ax^{2} + bx + c$$, we look for two numbers th

1. **State the problem:** Simplify or factor the quadratic expression $15x^2 + x - 2$. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, we look for two numbers

1. The problem is to analyze the expressions (2x + 5) and (4x - 3). 2. We can explore their sum, difference, product, or quotient depending on the question, but since none is speci

1. The problem is to simplify the expression $2x$. 2. This is a simple algebraic expression representing two times the variable $x$.

1. **State the problem:** Multiply the binomials $(a+b)(c+d)$. 2. **Formula used:** Use the distributive property (FOIL method for binomials):

1. **State the problem:** Solve the quadratic equation $$6x^2 - 5x = 0$$. 2. **Formula and rules:** To solve quadratic equations of the form $$ax^2 + bx + c = 0$$, one common metho

1. The problem asks to solve algebraic equations using a consistent method. 2. The general approach is to isolate the variable by performing inverse operations step-by-step.

1. **Stating the problem:** Simplify the expression $$\sqrt[n]{x} \frac{a}{b} \sqrt[n]{x} \binom{n}{k} |x|$$. 2. **Recall the formulas and rules:**

1. **Problem 1: Find the correct formula for $F$ given $C = \frac{5}{9}(F-32)$.** The original formula relates Celsius ($C$) and Fahrenheit ($F$) as:

1. Problem 1: One number is 12 more than another number. Their sum is 48. Find the two numbers. 2. Problem 2: A father is 26 years older than his son. In 4 years, the father will b

1. **State the problem:** Calculate Maru's net pay every payday given a weekly salary of 10000, mandatory contributions of 500, and non-taxable benefits of 1000. 2. **Understand th