🧮 algebra

1. Diketahui fungsi objektif $Z = 12x + 8y$ dengan daerah penyelesaian berbentuk segitiga yang dibatasi sumbu X, sumbu Y, dan sebuah garis. 2. Dari deskripsi, daerah penyelesaian d

1. The user asks to write "these" as inequalities, but no specific expressions or statements were provided. 2. To proceed, please provide the expressions or conditions you want con

1. **Simplify each given expression step-by-step.** 2. Expression: $4x^2 + 4x \times 2x + 5x^2$

1. The problem is to simplify the expression $4a^2b - 4ab^2$. 2. Factor out the common factor in both terms. Both terms have a common factor of $4ab$.

1. The problem is to simplify the expression $4a^2b - 4ab$. 2. Look for common factors in both terms. Both terms share a factor of $4ab$.

1. **State the problem:** Evaluate the expression $$\frac{3^2 \times 3^5}{3^3}$$. 2. **Use the laws of exponents:** When multiplying powers of the same base, add the exponents.

1. Simplify each expression step-by-step. (i) Simplify $$4 - x(3x + 2y)$$:

1. Problem: Rani has a cake cut into 16 equal pieces and takes 4 pieces. Based on this, determine True or False for the statements: - Statement 1: If the remaining cake is equally

1. Problem: In a batch of 250 students, 62 are in the Sports Club, 170 are in the Dramatic Club, and 40 students are in both clubs. We want to find how many students are in either

1. **State the problem:** We need to graph the transformed cube root function given by $$y = -2 \sqrt[3]{x - 4} + 1.$$ 2. **Identify the base function and transformations:** The ba

1. La pregunta es si es posible aplicar factor común a una expresión matemática. 2. Para aplicar factor común, debemos identificar un término (número, variable, expresión) que se r

1. Let's state the problem: Solve a system of linear equations using the matrix method. 2. Write the system of equations in matrix form as $AX = B$, where $A$ is the coefficient ma

1. Start by stating the problem: Perform the subtraction $$\frac{19}{5} - \frac{4}{5}$$. 2. Since both fractions have the same denominator, subtract the numerators: $$19 - 4 = 15$$

1. We are given the augmented matrix for a system of equations: $$\begin{bmatrix}5 & 2 & | & 8 \\ 3 & 1 & | & 6\end{bmatrix}$$

1. The problem from page 184, question 6, parts a and b, is to solve the algebraic expressions or equations given. 2. For part (a), first identify the equation or expression and th

1. Divide $$x^3 - 6x^2 + 11x - 6$$ by $$x - 1$$. Step 1: Divide the leading term $$x^3$$ by $$x$$ to get $$x^2$$.

1. We start with the problem: Find the center and radius of each circle given its general form equation by completing the square. 2. For each equation, group $x$ and $y$ terms, mov

1. **Identify the problem:** Find the center and radius of the circles given by equations in general form. --- Part A: Convert each equation to standard form and identify the cente

1. The problem is to subtract and simplify two expressions. Since no specific expression is given, let's assume we subtract two algebraic expressions: $$ (a+b) - (c+d) $$. 2. Distr

1. Problem: Divide $x^3 - 6x^2 + 11x - 6$ by $x - 1$ using long division. Step 1: Divide the leading term $x^3$ by $x$, which gives $x^2$.

1. Masalah pertama: Diberi \(\frac{h}{k} = \frac{1}{3} + 0.0454545\ldots\) dan diminta cari nilai \(h\) dan \(k\) tanpa menggunakan kaedah pecahan biasa. 2. Perhatikan bahawa \(0.0