🧮 algebra

1. The problem asks for the range of the function $A(m)$ given certain options. 2. The range of a function is the set of all possible output values it can produce.

1. **State the problem:** Mr. Gatto stays at a hotel for 3 nights at a rate of 182.50 per night. The hotel tax rate is 10.75%. We need to find the total cost including tax.

1. **State the problem:** Matias wants to buy a tent priced at 185.29. The sales tax rate is 5.85%. We need to find the amount of sales tax he will pay. 2. **Formula:** Sales tax a

1. **State the problem:** Factor the quadratic expression $x^2 + 5x + 6$. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, we look for two numbers that multipl

1. **State the problem:** We need to find the width $w$ of a rectangle given that its perimeter is 94 cm and its length is 19 cm. 2. **Write the formula for the perimeter of a rect

1. **State the problem:** Given that $a - b = b - c = 2$, find the value of $$\frac{(a - b)^2 + (b - c)^2}{(a - c)^2}$$

1. **State the problem:** You are comparing two cell phone plans. The first plan charges 23 cents per minute, and the second plan charges a monthly fee of 49.95 plus 11 cents per m

1. **State the problem:** We need to find the dimensions of a rectangular room where the length is twice the width and the perimeter is 48 meters. 2. **Define variables:** Let the

1. **State the problem:** Convert the number 577,000,000 into an equivalent form expressed as a number times $10^5$. 2. **Recall the rule:** Any number can be expressed in scientif

1. **State the problem:** We need to determine which of the given expressions are equal to 264,740,000,000. 2. **Convert the number to scientific notation:**

1. **State the problem:** Solve the equation $$\frac{|33x - 15|}{6} = \frac{|9x - 1|}{3}$$ for $x$. 2. **Understand the equation:** We have absolute values on both sides divided by

1. **State the problem:** We have a racetrack made of 25 equal pieces, and the total length is 150 inches. We want to find the length $p$ of each piece. 2. **Identify the correct e

1. The user asks if an expression can be simplified, but no specific expression is provided. 2. To simplify an expression, we combine like terms, factor where possible, and reduce

1. Énonçons le problème : Résoudre l'équation $$3x - 1 = 29 - 7x$$. 2. La règle principale pour résoudre une équation est d'isoler la variable $x$ d'un côté de l'équation.

1. **State the problem:** Find the equation of the line passing through the points $(-5, -6)$ and $(6, -3)$ in slope-intercept form $y=mx+b$. 2. **Formula for slope:** The slope $m

1. **State the problem:** We are given two equations: $$x = 4y$$

1. The problem is to determine if the expression $\frac{1}{2}x^2$ is correct or not. 2. This expression represents a term where $x$ is squared and then multiplied by $\frac{1}{2}$.

1. **State the problem:** Simplify the expression $$\frac{(4x^{2}y)(2x^{3}y)}{(2x)^{3}(2y)^{2}}$$. 2. **Write the expression clearly:**

1. **Stating the problem:** We need to find the least number of staff members required to mind all children in a crèche, given the maximum number of children one staff member can m

1. **State the problem:** Simplify the expression $$\left(\frac{2^3}{2^2} \cdot 2^2\right)^4$$. 2. **Recall the exponent rules:**

1. **State the problem:** Solve the cubic equation $$x^3 - 6x^2 + 6x = 0$$. 2. **Rewrite the equation:**