🧮 algebra

1. **State the problem:** Farmer Gespil starts with 86 alabers and gains 8 alabers every hour. We want to write an equation for the total alabers $y$ after $x$ hours, find how many

1. The problem asks to shade the area that is not true for the inequality $y > -x + 7$. 2. The boundary line is given by the equation $y = -x + 7$.

1. Énonçons le problème : Résoudre une équation ou un exercice de niveau seconde (sec 2) en mathématiques. 2. Comme vous n'avez pas précisé de problème exact, je vais vous explique

1. The problem states that $j(x) = k(m(x))$ and provides values for $m(x)$, $k(x)$, and $j(x)$ at certain points. 2. We are given the following values:

1. The problem is to graph the function $f(x) = x^2$ with the domain restriction $-2 < x < 1$. 2. The function $f(x) = x^2$ is a parabola opening upwards with vertex at the origin

1. **State the problem:** We have a table with some values for Nuts and Raisins, and we want to use equivalent ratios to complete the missing values. 2. **Understand equivalent rat

1. The problem is to understand and use the quadratic formula to find the roots of a quadratic equation $ax^2 + bx + c = 0$. 2. The quadratic formula is given by:

1. **State the problem:** Simplify the expression $$\left(\frac{9x^{11}}{3x^3}\right)^{-4}$$. 2. **Use the quotient rule for exponents:** When dividing like bases, subtract the exp

1. **State the problem:** We are given a table showing the weight in pounds and the corresponding price in dollars. We need to find the constant of proportionality, which is the pr

1. **State the problem:** We need to solve the equation $$\frac{2x+4}{x-3} = 3$$ for $x$. 2. **Recall the formula and rules:** To solve a rational equation like this, multiply both

1. The problem asks to identify ratios equivalent to 15:12. 2. Two ratios are equivalent if their fractions are equal when simplified.

1. **Problem statement:** Find $(f \circ g)(x)$ and its domain, then find $(g \circ f)(x)$ and its domain for the functions given.

1. **State the problem:** Simplify the expression $$\frac{(4a^1 b^{-1})^{-2}}{4ab^{-4} c^0}$$ and verify if it equals $$\frac{1}{b^6}$$. 2. **Recall the rules:**

1. The problem asks to identify which ratios are equivalent to $11:16$. 2. Two ratios $a:b$ and $c:d$ are equivalent if their cross products are equal, i.e., $a \times d = b \times

1. **State the problem:** We need to divide the fraction $\frac{5}{6}$ by the fraction $\frac{4}{3}$. This is written as $\frac{5}{6} \div \frac{4}{3}$.\n\n2. **Recall the rule for

1. **State the problem:** We are given a system of inequalities:

1. The problem asks us to determine if the inequality $x < 6$ is true or false given that the elevations $x$ are all above 6 meters. 2. The inequality $x < 6$ means the elevation $

1. The problem is to understand and represent the inequality $w \geq -1 \frac{1}{2}$, which means $w$ is greater than or equal to $-1.5$. 2. The inequality $w \geq -1.5$ includes a

1. The problem asks to write an inequality representing "w is greater than or equal to -1 1/2". 2. The phrase "greater than or equal to" corresponds to the inequality symbol $\geq$

1. The problem is to understand the inequality $y < -8$ and its graphical representation on a number line. 2. The inequality $y < -8$ means that $y$ takes values less than $-8$, bu

1. The problem states: Write an inequality that represents the statement "y is less than -8" and identify its graph. 2. The inequality for "y is less than -8" is written as: