🧮 algebra

1. Énoncé du problème : Nous voulons effectuer la division euclidienne de $$n^2 + 7n + 18$$ par $$n + 2$$. 2. Dividende : $$n^2 + 7n + 18$$.

1. **Exercice 1 : Périmètre et aire maximale** Un fermier a 200 mètres de clôture pour délimiter un terrain rectangulaire.

1. The problem is to explain how to use the inverse function to graph $f(x)=\log_6 x$. 2. Recall that the logarithm function $f(x) = \log_6 x$ is the inverse of the exponential fun

1. Let's analyze the given information: the graph of $g(x)$ is a smooth continuous curve with oscillations, passing near points $(1,1)$ and $(1.5,1.5)$. 2. The curve starts near $y

1. Problem statement: Sketch the graph and make a sign table for the polynomial $Q(x)=-(x-1)^3(x+2)^2$. 2. Factorization and roots: The factorization is given as $Q(x)=-(x-1)^3(x+2

1. Let's say the problem is to simplify an expression or solve an equation. To keep it easy, we will break it down into just a few steps. 2. Identify what you need to find or simpl

1. The problem is to simplify the expression $2\sqrt{284}$.\n\n2. First, factorize 284 to find perfect squares inside the square root.\n284 can be broken down as $284 = 4 \times 71

1. **State the problem:** We have a language school where 39 7/12 % learn Chinese, 31 1/4 % learn German, and the remaining 210 learn Japanese.

1. The problem asks which values of $n$ make $f(x) = x^n$ a polynomial function. A polynomial function has non-negative integer exponents. So:

1. Mia has a geometric sequence of pie slice volumes where the second slice volume is $u_2=30$ cm³ and the fifth slice volume is $u_5=240$ cm³. 2. Recall the general formula for th

1. Het probleem is om R180 te verhogen met 12%. 2. Bereken eerst 12% van R180 met de formule $$12\% \times 180 = 0{,}12 \times 180 = 21{,}6$$.

1. State the problem: Solve the equation $23n = 1000$ for $n$. 2. To isolate $n$, divide both sides of the equation by 23:

1. Het probleem is om 18% van 383 te berekenen. 2. Procent betekent per honderd, dus 18% = 18/100 = 0.18.

1. Solve $x^2 - 9x + 14 = 0$ by factoring: Factor the quadratic: $x^2 - 9x + 14 = (x-7)(x-2) = 0$

1. **State the problem:** Leon has a total salary of 6000. He spends 800 on bills, 800 on entertainment, and saves 1200.

1. The problem states: Given the expression $n - s = 5$ and $n - s = 20 \, 22.5$ with the term "Enolate (3+2) 18 M ->" and the solution hint as $(3(1)+2)\, 18\, M -> 1$, we need to

1. Énoncé du problème : Soit $B = \{2n^2, n \in \mathbb{N}\}$. 2. a) Trois éléments de $B$ lorsque $n=0,1,2$ sont :

1. The problem statement is missing; please provide the algebraic or mathematical expression to solve. 2. Once the problem is provided, I will break down the solution step-by-step

1. સમસ્યા: 3 સફરજન અને 2 સંતરાની કિંમત ₹17 છે અને 5 સફરજન અને 3 સંતરાની કિંમત ₹27 છે. ત્યા ફોન પર એક સંતરાની કિંમત શોધવી છે. 2. ચાલો, માનીએ સફરજનની કિંમત છે $x$ અને સંતરાની કિંમત છ

1. Let's state the problem clearly: We want to analyze expressions where two different bases are raised to the same exponent. For example, consider the expression $$a^x = b^x$$ whe

1. The problem is to solve expressions involving indices (powers or exponents). 2. Indices follow rules such as multiplying same bases by adding powers: $a^m \times a^n = a^{m+n}$,