🧮 algebra

1. Stating the problem: Solve the system of inequalities (a) $3x + 2x(x - 3) \leq 2(5 + x^2)$

1. Let's find the square root of 97344 using the division method (also called the long division method for square roots). 2. First, group the digits of 97344 in pairs starting from

1. **Stating the problem:** Find the square root of 97344 using the division (long division) method. 2. **Step 1:** Pair the digits of 97344 from right to left: (9)(73)(44).

1. **State the problem:** A car rental company charges 40000 per day plus 2000 per mile. A customer wants to spend not more than 1000 per day. We need to find how many miles the cu

1. The problem is to write the set $J = \{5, 10, 15, 20, 25\}$ in set builder notation. 2. Set builder notation describes a set by a property that its members satisfy.

1. We are given the expression $\left(\frac{4m}{10p_1}\right)^{0.4} \times \left(\frac{6m}{10p_2}\right)^{0.6}$. 2. Start by separating each base and applying the properties of pow

1. The problem is to simplify the expression $$x^4 - y^4 - 2x^3y + 2xy^3$$. 2. Notice that we can group terms to factor by recognizing patterns:

1. Stating the problem: Mr. Mensah withdrew some money from the bank. He gave $\frac{1}{2}$ of it to his son and $\frac{1}{3}$ of it to his daughter. We know he has 500 cedies left

1. Stating the problem: Simplify the expression $x^4 - y^4 - 2x^3y + 2xy^3$. 2. Recognize that $x^4 - y^4$ is a difference of squares: $$x^4 - y^4 = (x^2)^2 - (y^2)^2 = (x^2 - y^2)

1. Stating the problem: Factorize the expression $$x^4 - y^4 - 2x^3 + 2xy^3$$. 2. Group terms to facilitate factoring:

1. Stated the problem: Solve the system of linear equations: $$2x - y = 4$$

1. We are given two straight lines: $$3x + y = 1$$

1. Stating the problem: Find the least common multiple (LCM) of 50 and 21. 2. Factorize each number into primes:

1. The problem is to find the Least Common Multiple (LCM) of given numbers. 2. The LCM of two or more integers is the smallest positive integer that is divisible by all the numbers

1. Let's denote Anusha's height as $A$. 2. Amira is 8% taller than Anusha, so Amira's height is $A + 0.08A = 1.08A$.

1. The problem is to find the value expressed by the decimal number 4.509. 2. We can represent 4.509 as the sum of its parts: 4 + 0.5 + 0.009.

1. Stating the problem: Find the Greatest Common Divisor (GCD) for each given set of numbers: (a) 12 and 42, (b) 65 and 91, (c) 12, 16, and 20, (d) 25, 70, and 100. 2. For part (a)

1. The problem states there are 120 cars in a multi-storey car park. 2. It also states that 30% of these cars are blue.

1. Soalan meminta persamaan garis QR yang melalui titik Q(4,8) dan mempunyai kecerunan 2. 2. Formula persamaan garis menggunakan bentuk titik-kecerunan adalah $$y - y_1 = m(x - x_1

1. Find gcd(12, 18) using the Euclidean algorithm: Step 1: Divide 18 by 12 and find the remainder: $$18 = 12 \times 1 + 6$$

1. The problem is to analyze and understand the linear equation $$-8x - 6y = 44$$. 2. To better understand the equation, we can rewrite it in slope-intercept form $$y = mx + b$$.