🧮 algebra

1. **State the problem:** Solve for $x$ in the equation $$x^2 + 3x = 5.$$\n\n2. **Rewrite the equation:** Move all terms to one side to set the equation to zero: $$x^2 + 3x - 5 = 0

1. Problemet är att förenkla uttrycket $$\frac{x^2 - x}{x(x-1)}$$. 2. Börja med att faktorisera täljaren: $$x^2 - x = x(x - 1)$$.

1. **State the problem:** Larissa's laptop battery started at 100% and after 3 hours it was at 79%. We need to find the average change in battery charge per hour. 2. **Calculate th

1. Let's clarify the problem: you are asking why a certain value is 7. 2. To answer this, I need to know the exact problem or equation you are referring to.

1. The problem is to simplify the expression $(3m4)2$. 2. Assuming the expression means $(3m4) \times 2$, we first interpret $3m4$ as $3 \times m \times 4$.

1. The problem is to evaluate $\log_{0.32}\left(\frac{2}{5} \times 2^{\frac{1}{2}}\right)$.\n\n2. First, simplify the argument inside the logarithm: $$\frac{2}{5} \times 2^{\frac{1

1. The problem asks about the usefulness of the LCM (Least Common Multiple) of 12 and 15. 2. The LCM of two numbers is the smallest number that is a multiple of both.

1. Il problema non è specificato chiaramente, quindi fornirò un esempio di problema più difficile in algebra. 2. Consideriamo la risoluzione dell'equazione quadratica $$2x^2 - 4x -

1. **State the problem:** Solve the equation $$x^3 + x = 10$$ for $x$. 2. **Rewrite the equation:** Move all terms to one side to set the equation to zero:

1. Simplify and analyze the expression $$\frac{2x - 3}{2x + 1}$$. 2. Expand and simplify the product $$(x - 5)(3 - x)$$.

1. **State the problem:** Simplify the expression $$(x-5)(3-x)$$. 2. **Rewrite the second factor:** Notice that $$3-x = -(x-3)$$.

1. **State the problem:** We have three variables representing numbers of tank cars: $x_1 = 8 + 2t$, $x_2 = 33 - 3t$, and $x_3 = t$. Each corresponds to tank cars with capacities 7

1. The problem asks to express the decimal number 0.14 as a percentage. 2. To convert a decimal to a percentage, multiply the decimal by 100.

1. The problem is to solve the equation $\sqrt{v} \left(\frac{2}{5}\right)^x = \frac{32}{3125}^{-1}$.\n\n2. First, simplify the right side. Since $\frac{32}{3125}^{-1} = \frac{3125

1. Probleem 4: 'n Motor se petroltenk hou 45 liter brandstof en gebruik 8,5 liter petrol per 100 km. Die reis is 350 km lank. Hoeveel petrol is oor aan die einde van die reis? 2. B

1. Masalah: Kita akan menyelesaikan soal matematika yang cocok untuk anak SMP kelas 8. 2. Misalnya, kita ingin menyelesaikan persamaan linear sederhana: $$2x + 3 = 11$$

1. The problem is to find the equation of the line passing through the points $(1,2)$ and $(3,8)$.\n\n2. First, calculate the slope $m$ of the line using the formula $$m=\frac{y_2-

1. The problem is to combine the constant terms by finding a common denominator and express the polynomial in standard form. 2. Given the fractions $\frac{4}{3}$ and $\frac{12}{3}$

1. To help you with steps 4 to 6, I need to know the specific problem or the previous steps you are referring to. 2. Please provide the problem statement or the earlier steps so I

1. Stating the problem: We need to factorize the equation $$4(u - y)^3 = (x - y)$$. 2. Rewrite the equation: The equation is already simplified as $$4(u - y)^3 = x - y$$.

1. The problem is to find the number that should replace the gap in the equation: $$16 \times 21 = (16 \times 3) \times \square$$