🧮 algebra

1. **State the problem:** We need to find the equation of line B, which passes through point P(2, 5) and is parallel to line A. 2. **Find the slope of line A:** Line A passes throu

1. The problem is to simplify the fraction $\frac{0.0044}{0.0404}$. 2. Convert the decimals to fractions or use division directly.

1. Masalah: Diberikan fungsi produksi senyawa $$f(x) = \frac{4000x^3 + x + 3}{20x^2 + 1} (10x + 2)$$ gram, tentukan banyak senyawa saat waktu $$x$$ sangat besar (limit saat $$x \to

1. Masalah: Diberikan fungsi produksi senyawa $$f(t) = (20t^2 + 1)(100t + 2)$$ gram, kita diminta untuk menyederhanakan fungsi ini. 2. Langkah pertama adalah mengalikan kedua fakto

1. **State the problem:** Find the range of values for which $x+5 < |2x + 1|$. 2. **Understand the absolute value:** The inequality involves an absolute value, so we consider two c

1. The problem is to solve the product of two numbers: $0.004 \times 0.0004$. 2. Convert the decimals to scientific notation for easier multiplication:

1. Diberikan fungsi produksi senyawa: $$f(t) = 4(t+1)^2 - 3(2t^2 - 1)(t^2 + 2)$$

1. **State the problem:** Find the range of values for $x$ such that $$\frac{3x - 10}{x - 4} < 2.$$\n\n2. **Rewrite the inequality:** Subtract 2 from both sides to get a single rat

1. The problem states that after a 10% discount, the article is sold for 360. 2. Let the original price be $x$.

1. **State the problem:** A shopkeeper buys 48 radios for a total cost of 7200. We need to find the selling price per radio to make a 15% profit on the total cost. 2. **Calculate t

1. **State the problem:** We need to divide $1 \frac{3}{4}$ by $\frac{1}{5}$.\n\n2. **Convert mixed number to improper fraction:** $1 \frac{3}{4} = \frac{4 \times 1 + 3}{4} = \frac

1. **State the problem:** We need to calculate $\frac{1}{5}$ divided by $1 \frac{3}{4}$. 2. **Convert mixed number to improper fraction:** $1 \frac{3}{4} = \frac{7}{4}$.

1. **State the problem:** Gail's hourly pay increases from 15 to 18. We need to find the percent increase in her pay. 2. **Calculate the increase in pay:**

1. Given the equations: $$\sqrt{a} + \sqrt{b} = 5$$

1. **State the problem:** Solve the system of linear equations: $$x + 2y + 3z = 14$$

1. The problem is to find the solution for the variable $x$. 2. Since no specific equation or expression is given, we cannot solve for $x$ without additional information.

1. Problem: Find the product function $(fg)(x)$ where $f(x) = 4x - 2$ and $g(x) = 2x + 2$. Step 1: Recall that $(fg)(x) = f(x) \cdot g(x)$.

1. **State the problem:** We are given a relation $R$ defined by the inequalities $y \leq x - 2$ and $y \geq 2x - 4$. We need to sketch the graph of this relation. 2. **Understand

1. Énonçons le problème : Montrer que $$\frac{1}{1} + \frac{1}{a} > \frac{1}{a} + b$$. 2. Simplifions l'expression de gauche : $$\frac{1}{1} = 1$$ donc l'inégalité devient $$1 + \f

1. The problem is to find the value of $\frac{2}{5}$ divided by $\frac{3}{7}$.\n2. Dividing by a fraction is the same as multiplying by its reciprocal. So, we rewrite the division

1. **State the problem:** The maximum speed $S$ of a vehicle is partly constant and partly varies as the engine capacity $C$. Given two points: when $C=2000$, $S=240$ km/h and when