🧮 algebra

1. **Stating the problem:** Charity bought a gas cooker on hire purchase terms. She paid a deposit of 6500 and equal monthly instalments of 2880 for one and a half years. We need t

1. **State the problem:** Find the equation of the line passing through points (0, -8) and (2, 10) in the form $y = mx + c$. 2. **Formula used:** The slope $m$ of a line through po

1. **State the problem:** Nikola had 77 units of money. She spent \(\frac{3}{7}\) of her money on a meal and the rest on books. We need to find the percentage of her money spent on

1. **Stating the problem:** Eunice bought a refrigerator with a cash price of 32400.

1. Das Problem: Du möchtest wissen, woher die -8 bei 2a kommt. 2. Erklärung: Wenn du eine Gleichung oder einen Term hast, kann die Zahl vor dem Buchstaben (wie -8 bei 2a) ein Koeff

1. **State the problem:** Find the equation of line F in the form $y = mx + c$ given two points on the line. 2. **Identify points:** The line passes through points $(0, 80)$ and $(

1. Das Problem: Du möchtest wissen, woher die Zahl -8 bei dem Term $2a - 8$ kommt. 2. Erklärung: In einem algebraischen Ausdruck wie $2a - 8$ besteht der Term aus zwei Teilen: eine

1. **Problemstellung:** Gegeben ist die Funktion $f(x) = 0{,}1x^3$. 2. **a) Funktionswerte berechnen:**

1. **Problemstellung:** Gegeben ist die Funktion $$f(x) = 0,1x^3$$. Wir sollen folgende Aufgaben lösen:

1. **State the problem:** A water pump costs 12800 cash. A farmer buys it on hire purchase by paying a deposit of 5000 and four monthly instalments of 2600 each. We need to find ho

1. The problem asks to represent a given number as a rational number on the number line. 2. A rational number is any number that can be expressed as $\frac{p}{q}$ where $p$ and $q$

1. The general form of a quadratic function is given by the formula: $$f(x) = ax^2 + bx + c$$

1. **State the problem:** Solve for $r$ in the equation $1 + r = (1.83)^{\frac{1}{52}}$. 2. **Formula and rules:** The equation involves an exponent with a fractional power, which

1. **Stating the problem:** A boy bought a bed on hire purchase terms. He paid a deposit of 2800 and six equally monthly instalments of 1500 each. We need to find the total hire pu

1. **Problem Statement:** A trader marks goods 80% above the cost price, gives successive discounts of 15% and 10%, and 5% of the goods are damaged and sold at a 40% loss. We need

1. **State the problem:** Yasuhiko has invested 21355 in equipment and machinery. Each hummingbird feeder costs 12.75 to make and sells for 21.75. We need to find how many feeders

1. **Problem:** Factorize the expression $$12x^4 + 72x^2y^2 + 108y^4$$. 2. **Step 1: Identify the greatest common factor (GCF).**

1. Problema: Calcolare gli asintoti delle funzioni date. 2. Formula e regole importanti:

1. **State the problem:** Solve the inequality $6 < 4x - 2 \ge 2$. 2. **Understand the compound inequality:** This means $6 < 4x - 2$ and $4x - 2 \ge 2$ must both be true.

1. **State the problem:** We need to find the value of $b$ in the equation $46 - b = 22$. 2. **Formula and rules:** To isolate $b$, we use the rule of equality which states that wh

1. Definiamo gli asintoti di una funzione razionale $y=\frac{P(x)}{Q(x)}$. 2. Gli asintoti verticali si trovano risolvendo $Q(x)=0$ dove la funzione non è definita.