🧮 algebra

1. We are asked to simplify the expression $\frac{4}{9} - \frac{7}{9}$. 2. Since both fractions have the same denominator 9, subtract the numerators directly: $4 - 7 = -3$.

1. The problem is not explicitly stated, but let's demonstrate solving a simple algebraic equation: $2x + 3 = 7$. 2. Subtract 3 from both sides to isolate the term with $x$: $$2x +

1. Énonçons le problème : Calculer l'expression de $A$ donnée par

1. Evaluate \(\frac{-23 - (-14)}{-1 + 2(-1)}\). Step 1: Simplify the numerator:

1. **Problem:** Divide $\frac{3}{4}$ by $\frac{2}{5}$.\n\nStep 1: Write the problem as division of fractions: $\frac{3}{4} \div \frac{2}{5}$.\n\nStep 2: To divide by a fraction, mu

1. Problem 7: Find the domain and range of the relation $R = \{(x,y) \mid y \leq x-1 \text{ and } y \geq 2x-1\}$. - The domain is the set of all $x$ values for which there exists $

1. Énonçons le problème : Soit $a,b,c$ trois scalaires tels que $a\neq 1$ et $b\neq 1$. On considère la matrice ou expression définie par

1. **Problem:** Classify each given function. 2. **Function (a):** $f(x) = \sqrt[5]{x} = x^{1/5}$.

1. **State the problem:** We want to prove that if for some natural number $n$ and real number $x > -1$, the inequality $$ (1+x)^n \geq 1 + nx $$ holds, then it also holds for $n+1

1. The problem asks to classify each given function based on its type. 2. For (a) $f(x) = \sqrt[5]{x}$, this is a root function because the 5th root of $x$ can be expressed as $x^{

1. The problem is to calculate the value of $\frac{0.0108}{44.009}$. 2. We perform the division by dividing the numerator by the denominator:

1. The problem is to multiply $2.459 \times 10^{-4}$ by 15. 2. Start by multiplying the numbers directly: $2.459 \times 15 = 36.885$.

1. The problem: Understanding what "indicis" means or relates to. 2. "Indicis" is possibly a misspelling or misinterpretation of "indices," which are used in mathematics, especiall

1. The problem asks us to prove that $1=1$. 2. This is an identity, meaning it is true by definition.

1. **Write each fractional rate as a unit rate:** 2. For **1 1/2 cups for 3 batches**:

1. The user asks for the reciprocal of 13. 2. The reciprocal of a number $x$ is defined as $\frac{1}{x}$.

1. The given input is simply the number 13. 2. Since there is no explicit problem stated, let's explore some algebraic properties of the number 13.

1. Stating the problem: Solve for $x$ in the equation $$30x + 10 + 2x = 15x + x + 42$$. 2. Combine like terms on both sides:

1. We start with the given ratio $4.10:1.90$. 2. To express this ratio in the form $n:1$, we divide both parts of the ratio by the second number $1.90$.

1. The problem asks us to analyze the quadratic equation $$y = 2x^2 - 7x - 2$$ and consider the values for $x$ in the range from $-1$ to $4$. 2. First, let's understand the compone

1. **Problem 37:** Which inequality represents "Rehan is at most 22 years of age" if Rehan's age is $R$? - "At most 22" means Rehan's age can be 22 or any number less than 22.