🧮 algebra

1. Problema: Risolviamo la disequazione $$\frac{5x - 1}{x + 4} - 3 < \frac{1 - 2x}{4 + x}$$. 2. Prima di risolvere, notiamo che il denominatore non può essere zero, quindi la condi

1. **State the problem:** Simplify the expression $$d \left( \frac{3}{8} - \frac{1}{6} m + 5t \right) + \left( \frac{7}{10} m + 9t + \frac{1}{4} \right)$$. 2. **Distribute** $d$ ac

1. **Problemstellung:** Bestimme die Extrempunkte und Wendepunkte der Funktion $$f(x) = \frac{1}{3}x^3 + \frac{3}{2}x^2 + 1$$ algebraisch, wie im Beispiel gezeigt. 2. **Formeln und

1. **Problem statement:** Simplify the algebraic expression $$c. (-14.2b - 97.35) + (6.76 d - 118.7 - 3.4 d)$$ by combining like terms. 2. **Step 1: Remove parentheses and distribu

1. **State the problem:** Simplify the expression $$\frac{3^{25}}{3^{28}}$$ and express it in the form $$3^5 - \text{something}$$. 2. **Recall the exponent division rule:** When di

1. **State the problem:** Simplify the expression $$\left(\frac{2}{11}x - 3 - 5y\right) + \left(-\frac{3}{11}x + 5y + 5.5\right)$$. 2. **Write down the expression:**

1. El problema es resolver la función $$Y = 5X^2 - 15X - 50$$ para encontrar sus raíces, es decir, los valores de $X$ donde $Y=0$. 2. Usamos la fórmula cuadrática para resolver ecu

1. **State the problem:** Simplify the expression $-5 - \frac{4}{5}$. 2. **Rewrite the integer as a fraction:** To subtract fractions, express $-5$ as $\frac{-5}{1}$.

1. **State the problem:** Simplify the expression $$3.16a^5 b^{-3} - 8a^3 b^{-5} + 24a^8 b^{-7} - 40a^2 b^{-9}$$. 2. **Recall the rules:** When simplifying expressions with variabl

1. The problem is to understand and interpret the inequality $t \geq 60$ on a number line. 2. The inequality $t \geq 60$ means that $t$ is greater than or equal to 60.

1. **State the problem:** We have a sequence where each term is obtained by adding 4 to the previous term and then dividing by 2. The sequence is: $\square$, 6, 5, 4.5, ... and we

1. **State the problem:** We have a sequence where each term is found by multiplying the previous term by 4 and then subtracting 32. 2. **Given:** The 10th term, $a_{10} = 25$.

1. **State the problem:** Given that $$(x+y)^2=600$$, $$x^2=60$$, and $$y^2=40$$, find the value of $$xy$$. 2. **Recall the formula:** The expansion of $$(x+y)^2$$ is $$x^2 + 2xy +

1. **State the problem:** We have two variables: $x$ = number of recent graduates hired, and $y$ = number of experienced workers hired.

1. **State the problem:** Simplify the expression $$6x^{\frac{1}{2}} - 9x^{-\frac{1}{2}} + 15x^{-\frac{3}{2}}$$. 2. **Recall the rules:**

1. **Problem (a):** A metal object moves 3 ticks forward and then 3 ticks backward. Determine its final position relative to the original. 2. **Formula and concept:** The net displ

1. **Stating the problem:** We are given two linear equations:

1. **Problem Statement:** Identify the relative change in each scenario when combining two quantities. 2. **Scenario (a):** You spend 12 and then are paid 0.

1. Problema 1: Determinarea literei de pe poziția 2025 în șirul "COANDĂ2025" repetat. Șirul este "COANDĂ2025" cu 10 caractere: C(1), O(2), A(3), N(4), D(5), Ă(6), 2(7), 0(8), 2(9),

1. The problem is to find the sum of only the odd numbers in a given sequence or range. 2. To find the sum of odd numbers, we use the formula for the sum of an arithmetic series: $

1. The problem involves evaluating the function $f(x) = -4x - 8$ at $x = -3$. 2. The formula for evaluating a function at a given input is $f(a) = \text{expression with } x \text{