🧮 algebra

1. Das Problem lautet: Löse die Gleichung $2x + 3 = 11$ nach $x$ auf. 2. Die verwendete Formel ist die lineare Gleichung $ax + b = c$, wobei $a$, $b$ und $c$ Konstanten sind. Um $x

1. The problem is to graph the function $f(x) = 4\sqrt{x} - 7$. 2. The formula used is $f(x) = 4\sqrt{x} - 7$, where $\sqrt{x}$ is the square root of $x$.

1. Problem: Lukas hat die Parabel f mit f(x) = x^2 gezeichnet. Beschreibe den Fehler. 2. Die Funktion f(x) = x^2 ist die Grundparabel mit Scheitelpunkt im Ursprung (0,0).

1. **Stating the problem:** We want to understand how to factor algebraic expressions, which means rewriting them as products of simpler expressions. 2. **Common factoring:** This

1. **State the problem:** Solve the inequality $3^x + 1 > 1$ and the equation $3^x = 1$. 2. **Solve the inequality $3^x + 1 > 1$: **

1. **Problem:** Identify the pattern and continue the sequence starting with 112, 100, 88. 2. **Step 1:** Observe the differences between terms: $100 - 112 = -12$, $88 - 100 = -12$

1. Énoncé du problème : Trouver la nature de $k$ dans la fonction $f(x) = x^2 - 6x + 11$. 2. Rappel : Pour une fonction quadratique $f(x) = ax^2 + bx + c$, le sommet (ou le point c

1. **State the problem:** Simplify the expression $$-2\sqrt{294m^{16}n^{7}}$$. 2. **Recall the rule for square roots:** $$\sqrt{a \cdot b} = \sqrt{a} \cdot \sqrt{b}$$ and $$\sqrt{x

1. The problem is to simplify the expression given by the user. 2. Since the user did not provide a specific expression, let's consider a general approach to simplification: combin

1. **State the problem:** We have a ratio of flour to water in an art paste and a table showing some values. We need to find the missing values in the table and specifically answer

1. **Stating the problem:** We have 10 rows, each with a sequence of three numbers followed by nine empty squares. We need to find the next nine numbers in each sequence. 2. **Unde

1. The problem asks whether the terms solution, root, x-intercept, and zero mean the same thing in math. 2. Let's define each term:

1. The problem asks to identify what the green dots on the graph represent. 2. The green dots are located where the parabolas intersect the x-axis.

1. **Énoncé du problème :** Simplifier l'expression $\ln(3e)$.\n\n2. **Formule utilisée :** La propriété des logarithmes naturels est $\ln(ab) = \ln(a) + \ln(b)$.\n\n3. **Applicati

1. **Énoncé du problème :** Simplifier l'expression $\ln(3e)$. 2. **Formule utilisée :** Pour tout $a,b>0$, $\ln(ab) = \ln(a) + \ln(b)$.

1. **State the problem:** We want to find the population of Edinburgh after 4 years if the current population is 495000 and it increases at 1.8% per year. 2. **Formula used:** The

1. **State the problem:** We have a tree structure where expressions are added stepwise. On the right side, we want to find expressions $A$, $B$, and $C$ such that: - $A$ is added

1. Il problema è semplificare l'espressione data e verificare i passaggi algebrici. 2. La proprietà principale usata è la potenza di un prodotto: $$(xy)^n = x^n y^n$$ e la potenza

1. **State the problem:** Solve the inequality $$x(x+2) - 3(2x - 1) \leq 2^2$$. 2. **Rewrite the inequality:** Expand and simplify the left side.

1. **Problem statement:** We have points \(A, B, C\) with position vectors \(\overrightarrow{OA} = \begin{bmatrix} 2 \\ 2 \end{bmatrix}, \overrightarrow{OB} = \begin{bmatrix} 18 \\

1. **State the problem:** Check if the area calculated for $r=1.2$ inches is rounded to the hundredths place. 2. **Recall the value:** The area was calculated as $4.5216$.