🧮 algebra

1. The given expression is \left(\;\right)\left(\;\right), which represents the multiplication of two empty parentheses without any visible terms inside. 2. Since there are no term

1. We are asked to compute the sum of the numbers $53 \times 10^{-4} + 32 \times 10^{-3} - 16 \times 10^{-5}$. 2. Convert all terms to the same power of ten for easier addition. Le

1. **State the problem:** We have total tickets sold = 100 and total money collected = 590. 2. Let $a$ be the number of adult tickets and $c$ be the number of child tickets. So, we

1. Simplify each expression by factoring and reducing common terms. (a) Simplify $$\frac{6m - 8n}{7pq - 7pr} \times \frac{9qs + 9rs}{3m^2 - 4mn}$$

1. Stating the problem: We are given ratios $A:B=2:3$, $B:C=4:5$, $C:D=7:10$ and asked to find the values of $A$, $B$, $C$, and $D$. 2. Since the problem involves direct and invers

1. State the problem: Expand the logarithmic expression $$\log_3 \left[ \frac{18 (x + 2)^2}{(x - 2)^3 (x + 5)^2} \right]$$ using laws of logarithms. 2. Recall the logarithm laws us

1. **Problem 1:** Solve the equation \((2 + x)(5 + 2x) = 0\). 2. To solve, we use the zero product property: if \(AB = 0\), then either \(A = 0\) or \(B = 0\).

1. We are asked to convert the repeating decimal $0.13\overline{5}$ into a fraction in its simplest form. 2. Let $x = 0.1355555\dots$ where the digit $5$ repeats indefinitely.

1. The user mentioned "In the previous equation" but did not provide any equation or problem statement. 2. To assist effectively, please provide the specific equation or problem yo

1. We are given the polynomial expression $x^4 - 4x^3 + 10$ and need to analyze or simplify it as needed. 2. First, observe that this is a quartic polynomial with terms $x^4$, $-4x

1. **Problem**: Find the zeros of the quadratic polynomial $P(x) = x^2 + 7x + 10$ and verify the relationship between the zeros and coefficients. 2. **Identify the polynomial**: Gi

1. The problem is to find the zero of the polynomial $p(x) = x^2 + 7 \times 10$ and verify the relationship between its zero and coefficients. 2. First, simplify the polynomial:

1. **Énoncé du problème** : Nous avons plusieurs exercices concernant des endomorphismes sur \( \mathbb{R}^4 \) et \( \mathbb{C}^4 \), avec des conditions spécifiques sur \( f \) e

1. The problem is to find the zero(s) of the quadratic polynomial $$p(x)=x^2+7\times100$$. 2. First, simplify the polynomial:

1. Masalah: Temukan persamaan garis yang melewati titik $(-3, 2)$ dan (a) sejajar dengan garis $-2y + 3x + 36 = 0$.

1. The problem states that 1681 students will attend the school function, and we need to arrange chairs such that the number of students in each row equals the number in each colum

1. Masalah yang diberikan adalah untuk menggambar grafik persamaan $$3x - 5y + 30 = 0$$ dan mencari gradien (slope) dari fungsi tersebut. 2. Langkah pertama adalah menyusun persama

1. Given the system \(\begin{cases} xy = 7, \\ xy = 18; \end{cases}\) Since both equations say \(xy\) equals different values (7 and 18), there is no solution because one product c

1. The problem presents several expressions and a linear equation system: simplifying an expression, solving simple equations, and analyzing a linear equation. 2. Simplify the expr

1. Stating the problem: We are given two equations involving cubic terms: $$7x^3 - 3y^3 + 5xy - 2x - 27 = 0$$

1. Solve the equation $6x+2=24$. Step 1: Subtract 2 from both sides: $$6x=24-2$$