🧮 algebra

1. **State the problem:** We have a drum filled with rice that weighs 300 kg 16 g 230 g (interpreted as 300 kg and 16.230 kg total since the user might mean 16 kg 230 g).

1. The problem is to substitute the value $b=4$ into an expression or equation involving $b$. 2. Since you provided only the value for $b$ without an expression, we'll understand t

1. The problem is to convert $b^6$ into hexadecimal. 2. First, we need to understand what $b$ represents. If $b$ is a variable, we cannot convert it directly to hexadecimal without

1. **State the problem:** You want to solve a polynomial division problem using synthetic division. 2. **Set up synthetic division:** Identify the divisor in the form $x - c$ and t

1. Problem Statement: Show that each number given is rational, meaning it can be expressed as a fraction $\frac{p}{q}$ where $p,q$ are integers and $q \neq 0$.\n\n2. Number 0.12312

1. **Problem statement:** Given the function $h(x) = 7x^4 - 10^3 + 3^2 + 3x -3$ and knowing that one zero of $h(x)$ is $x=1$, find the remaining zeros. 2. **Simplify the polynomial

1. لنبدأ بفهم المعطيات: لدينا $x_1=8$ و $x=4$. 2. المطلوب هو إيجاد قيم التعبيرات التالية: $-x$ و $+x$.

1. $\text{Problem: }x^2-5x+6=0.$ 2. $x^2-5x+6=(x-2)(x-3).$

1. **Énoncé:** Factorisez les expressions A, B, C et D. 2. **Expression A:**

1. **Stating the problem:** IGI Fashion company outsources pants costing P120 each.

1. Stating the problem: Solve the system of equations by eliminating $x$ first: $$4x - 4y = 4$$

Problem: Solve for $x$ in $2x+3=7$. 1. Write the equation: $2x+3=7$.

1. **State the problem:** Verify whether the equation $2 \times (5 \times 2) = (2 \times 5) \times 2$ holds true. 2. **Evaluate the left-hand side (LHS):**

1. You asked for the value of $k$, but no specific equation or context was given. 2. To solve for $k$, we need an equation or expression involving $k$.

1. The problem is to find the inverse function of $f(x)=3x-4$. 2. To find the inverse function, replace $f(x)$ with $y$:

1. **State the problem:** Prove that for every positive integer $n$, the sum $$\sum_{k=1}^n \frac{1}{(k+2)(k+3)} = \frac{n}{3n+9}.$$

1. Stating the problem: Simplify the algebraic expression $$\frac{x^2(x+2)(x-4)}{6x(x^2+x-20)}.$$\n\n2. Factor the quadratic in the denominator: \n$$x^2+x-20 = (x+5)(x-4).$$\n\n3.

1. The problem asks first to find the values of $a$ and $b$ given the function $g(x) = ax + b$ and the graph is a straight line positioned at the center of the image. Since no spec

1. The problem gives fg(x) = ax + b and asks to find values of a and b. 2. However, there are no further equations or data relating to f(x) or g(x) to determine a and b.

1. First, state the problem: Solve the simultaneous equations \(3x + 2y = 7\) and \(2x + 9y = 43\) by eliminating \(x\) first. 2. To eliminate \(x\), find the least common multiple

1. Solve equation: $$\frac{m}{2} + \frac{m}{3} + 3 = 2 + \frac{m}{6}$$ Multiply both sides by 6 (LCM of denominators) to clear fractions: