🧮 algebra

1. The problem is to solve for $x$ in the equation $2x + 3 = 7$. 2. Start by isolating the variable term $2x$ on one side. Subtract 3 from both sides:

1. The problem is to find the 56th term of the sequence 2, 9, 12, 23, ... and determine if 1306 is included in the sequence. 2. First, let's analyze the sequence: 2, 9, 12, 23, ...

1. Let's clarify the problem: you mentioned an imaginary concept and asked to find the value of something, but the exact expression or equation is not provided. 2. To help you effe

1. The problem is to find the minimum exam score needed to pass the course given continuous assessment (CA) score, exam weight, and pass mark. 2. Let $x$ be the exam score needed t

1. The problem states that the curve $y = f(x)$ has a single minimum point at $(8, -12)$. 2. For part (i), the new curve is $y = f(x) + 3$. Adding 3 to the function shifts the enti

1. **Problem statement:** A shopkeeper claims to sell goods at a 5% loss but uses a false weight and actually gains 15%. We need to find the actual weight used for 1 kg of goods, r

1. The problem is to understand the number -3.75. 2. The number -3.75 is a decimal number that is negative.

1. The problem is to solve the equation or expression given in chapter 5 question 1. Since the exact problem is not provided, please provide the specific question or equation from

1. The problem asks to create one cubic polynomial and one quartic polynomial. 2. A cubic polynomial is a polynomial of degree 3, which means the highest power of the variable is 3

1. **Problem Statement:** Design a roller coaster model using polynomial functions, including at least one cubic and one quartic polynomial, and demonstrate understanding of polyno

1. Problem: Sketch the curve $y = x^3 - 6x^4 + 6$ by finding points of intersection with axes and using max/min points. Step 1: Find x-intercepts by setting $y=0$:

1. **State the problem:** We are given a geometric sequence with the first three terms positive and their sum equal to 42. The common ratio is given as $\frac{1}{2}$. We need to fi

1. The problem asks which ordered pair is NOT graphed on the coordinate grid. 2. The points graphed are described as:

1. The problem asks us to determine the location of the point $(2,-6)$ on the coordinate plane. 2. Recall the four quadrants of the coordinate plane:

1. **Problem a(i):** Produce a sequence for the first four palings where the first paling is 1760 mm and each successive paling is 14 mm higher. The first term $a_1 = 1760$ mm.

1. **State the problem:** Solve the equation $$X + \sqrt{X^2 + 1} = 2X + \frac{1}{X} + \sqrt{X^2 + 1}$$ for $X$. 2. **Simplify the equation:** Notice that $\sqrt{X^2 + 1}$ appears

1. The problem is to evaluate the 9th root of 9063, which is written as $\sqrt[9]{9063}$. 2. The 9th root of a number $x$ is the number $y$ such that $y^9 = x$.

1. The problem is to simplify the fraction $\frac{9063}{9}$. 2. To simplify, divide the numerator by the denominator: $9063 \div 9$.

1. Problem 33: Find the equation of the line perpendicular to $2y = x + 2$ passing through $(4,3)$. Step 1: Rewrite the given line in slope-intercept form.

1. Problem: Find the x-coordinate of the line with slope $-2$ passing through $(3,7)$ when $y=17$. Step 1: Use point-slope form: $y - y_1 = m(x - x_1)$.

1. **State the problem:** We have two points \(A(a, 3a + 9)\) and \(B(2a + 4, 4a - 1)\), and the distance between them \(AB = 260\). We need to find the possible values of \(a\). 2