🧮 algebra

1. The problem is to solve the equation $r + 2 = 7$ for $r$. 2. To isolate $r$, subtract 2 from both sides of the equation:

1. The problem gives the height of a roller coaster cart as a function of time: $$y = -0.05(x - 55.5)^2 + 154$$ with domain $$0 < x \leq 111$$. 2. This is a quadratic function in v

1. **State the problem:** Expand and simplify the expression $$(5x + 2)(x + 1)$$. 2. **Apply the distributive property (FOIL method):** Multiply each term in the first binomial by

1. **State the problem:** We need to find the difference in money earned between the most profitable and least profitable seller based on their weekly sales of Product A and Produc

1. **State the problem:** An RV dealer buys 14 RVs at $25,250 each and sells them with a 22% markup. The dealer has monthly business costs of $45,000. We need to find the profit af

1. Let's start by understanding what power notation (also called exponents or indices) means. 2. Power notation is a way to express repeated multiplication of the same number.

1. The problem states that for every 2 flavor packages, 300 ml of sugar is needed. 2. We want to find an equation relating $s$, the amount of sugar in milliliters, to $f$, the numb

1. **State the problem:** We have two lines, line $l$ passing through points $(2,5)$ and $(4,11)$, and line $m$ with slope $-2$ and $x$-intercept $5$. We need to find the $y$-coord

1. The problem is to find the equation of a function similar to the previous one you sent. Since the previous function is not provided here, let's assume a general quadratic functi

1. **احسب قيمة A:** المعطى: $$A = (-5) + \left(\frac{26}{2}\right) \times (-0.5)$$

1. Problem 1: Solve for $x$ in the equation $$2x + 5 = 15$$. Step 1: Subtract 5 from both sides to isolate the term with $x$.

1. The problem asks to simplify the expression $g + g$. 2. Since both terms are the same variable $g$, we can combine them by addition.

1. نبدأ بحل المسألة: حساب قيمة $M = \frac{3}{5} \div \frac{2}{5}$. 2. القسمة على كسر تعادل الضرب في مقلوبه، إذن:

1. **Énoncé du problème :** On considère l'application $f : \left[-\frac{1}{4}, +\infty\right[ \to \left[\frac{5}{2}, +\infty\right[$ définie par

1. Stating the problem: Solve for the unknown in the equation $$124 + \_ = 234$$. 2. To find the unknown value, subtract 124 from both sides of the equation:

1. The problem is to simplify the expression $w + w$. 2. Since both terms are the same variable $w$, we can combine them by addition.

1. **State the problem:** Simplify the expression $$\frac{5a^3}{4x^2y^2} \times \frac{2c^3x}{3ab^2} \div \frac{5a^2c^2}{6b^2xyz}$$. 2. **Rewrite the division as multiplication by t

1. The problem is to solve the equation $60 + \text{———} = 70$ where the missing number is unknown. 2. To find the missing number, we can rewrite the equation as $60 + x = 70$, whe

1. The problem is to solve the equation $23 + \_ = 27$ where the blank represents an unknown number. 2. To find the unknown number, subtract 23 from both sides of the equation:

1. The problem is to factorise an algebraic expression, but since no specific expression was given, let's explain the general process of factorisation. 2. Factorisation means expre

1. Állítsuk fel az eredeti függvényt: $$y = x^2 - 2x - 3$$. 2. Az inverz függvény megtalálásához cseréljük fel az $x$ és $y$ változókat: $$x = y^2 - 2y - 3$$.