🧮 algebra

1. The problem is to simplify the expression $\sqrt{x}5 - 2\sqrt{x}6$. 2. We rewrite the expression to clarify it: $5\sqrt{x} - 2\sqrt{x}6$.

1. Stating the problem: We need to evaluate the expression $\frac{\sqrt{36}}{4}$.\n2. Calculate the square root: $\sqrt{36} = 6$.\n3. Substitute back: The expression becomes $\frac

1. Problem: 30 is 20% of what number? We need to find the number $x$ such that $20\%$ of $x$ is 30.

1. The problem is to simplify the expression $\frac{\sqrt{3}}{4}$.\n2. Here, $\sqrt{3}$ is the square root of 3, and it remains as is.\n3. The denominator is 4, so the fraction can

1. The problem is to simplify or factor the expression $4x^2 - 2x^3 - 6x$. 2. First, identify the greatest common factor (GCF) of all terms. The terms are $4x^2$, $-2x^3$, and $-6x

1. The problem asks us to place the given numbers from the box onto the number line at the positions marked with a "+". 2. First, let's convert all boxed numbers to decimal form to

1. First, understand the function's formula. For example, if you have $f(x) = x^2 - 4x + 3$, this tells you how to calculate the output $y$ for each input $x$. 2. Identify key feat

**Problème 3 : Résoudre dans \(\mathbb{R}\) les équations et inéquations suivantes :** 1. \(\sqrt{x^2 - 2} = x\)

1. Find the domain and range of each relation using interval notation, and determine if it is a function. - Top-left graph (rational function with vertical asymptote at $x=1$ and h

1. Factorise each expression step-by-step. **a) $64a^2b^3 - 16b^2a^3$**

1. The problem is to simplify the expression $x^2 - 2\sqrt{x} - 4\sqrt{x}$.\n\n2. Notice that $-2\sqrt{x} - 4\sqrt{x}$ can be combined because they have like terms involving $\sqrt

1. Stating the problem: We need to graph the system of equations: $$x+2y=6$$

1. The problem is to graph the equations provided by the user. 2. However, no specific equations were given to graph.

1. The problem is to graph the given equations. 2. However, the user did not specify which equations to graph.

1. Problema: Resolver $A = \frac{\sqrt{100 + \sqrt{36}}}{\sqrt{196 - \sqrt{169}}}$ usando las propiedades de la radicación. 2. Paso 1: Simplificamos las raíces cuadradas internas.

1. The problem provides two equations: $X = -2y - 6$ and $X + 2y = -6$. We need to graph these equations. 2. First, rewrite both equations in terms of $X$ and $y$:

1. The problem is to determine the continuity of the function $f(x) = \ln(x^2)$.\n\n2. First, recall that the natural logarithm function $\ln(x)$ is defined only for $x > 0$.\n\n3.

1. The problem is to find the function $f(x) = \ln x^2$ and understand its properties. 2. Recall that $\ln x^2 = \ln \left(x^2\right)$.

1. Énoncé du problème : On doit déterminer la véracité des affirmations pour l'exercice 1 et choisir la bonne réponse pour chaque question de l'exercice 2 concernant des polynômes

1. **Stating the problem:** Solve the equation $$273x^8 - 17x^{12} = 256$$ for $x$. 2. **Rearrange the equation:** Move all terms to one side:

1. The problem is to understand and interpret the expression $273x^8$. 2. The expression $273x^8$ means that the variable $x$ is raised to the eighth power and then multiplied by 2