🧮 algebra

1. To determine if a transformation is vertical or horizontal, we need to know the context or the function involved. 2. Vertical transformations affect the output values (y-values)

1. **State the problem:** Identify the type of conic section represented by the equation $$4X^2 - Y^2 - 8X + 8 = 0$$. 2. **Rewrite the equation:** Group the $X$ terms and isolate c

1. Simplify $x^6 \div x^4$. Using the quotient rule of exponents, $a^m \div a^n = a^{m-n}$, we get:

1. The problem is to find three more terms of the sequence: $1^1, 5^2, 7^2, 73, \ldots$ and check if it forms an arithmetic progression (AP). 2. First, evaluate the given terms:

1. Let's clarify the problem: you want to solve an inequality involving "greater than" or similar comparisons. 2. Suppose the inequality is of the form $ax + b > c$.

1. The problem asks for the three inequalities that define the unshaded region on the graph. 2. From the description, the unshaded region is bounded by:

1. **State whether each expression is True or False:** A) $3x^2 + 5x - 7 = 0$ is a quadratic equation in standard form, so it is **True**.

1. **Evaluate the function** $f(x) = x^3 - x^2 + 2$ for $x \in \{-6,-1,0,1,2\}$. Calculate each:

1. Problem: Given a binary operation $*$ on $\mathbb{R}$ defined by $x * y = 2x + 2y - \frac{xy}{5}$, find: (a) The inverse of $x$ under $*$.

1. You asked what a function looks like on the grid, but you did not specify which function or equation you want to see graphed. 2. To help you visualize a function on a grid, plea

1. The problem is to solve for $x$ in the equation $$4x - 3(2x - 5) = 19.$$\n\n2. First, distribute the $-3$ across the terms inside the parentheses: $$4x - 3 \times 2x + 3 \times

1. Problema 1: Demonstrarea egalității prin inducție matematică: Se dorește să demonstrăm că $$1 + 7 + 19 + \dots + (3n^2 - 3n + 1) = n^3$$ pentru orice $$n \geq 1$$.

1. The problem states that a listed price of 3500 is first reduced by 12%, then by an additional 8%. We need to find the final price after these successive markdowns. 2. First, cal

1. The problem states that a product sells for 1200 with a 40% markup based on the selling price. We need to find the cost price. 2. Let the cost price be $C$. The selling price $S

1. The problem asks for the net price after applying trade discounts of 15% and 10% on a list price of 2000. 2. Trade discounts are applied successively, not added together. First,

1. The problem states that a store offers trade discounts of 15/10 on a list price of 2000. 2. Trade discounts are successive discounts applied one after the other, not added toget

1. The problem states that the selling price after a 20% markdown is 920. 2. Let the original selling price be $x$.

1. The problem states that the selling price after a 20% markdown is 920. 2. Let the original selling price be $x$.

1. The problem states that a retailer buys an item at R480 and applies a 25% cost-based markup. 2. A cost-based markup means the selling price is the cost price plus 25% of the cos

1. The problem states that a price increases by 20% in 2024 and then decreases by 20% in 2025. We need to find the net effect compared to the original price. 2. Let the original pr

1. The problem asks to simplify the ratio $0.9 : 1.5 : 2.4$ into the simplest integer form. 2. To simplify, first convert each decimal to a fraction or multiply all terms by the sa