🧮 algebra

1. **State the problem:** We need to find which expressions are equivalent to $28^{-3}$ from the given options. 2. **Recall the laws of exponents:**

1. **State the problem:** Determine whether each expression is equivalent to $7^4$, $7^{-4}$, or Neither. 2. **Recall the rules:**

1. O problema é resolver a equação quadrática $2x^2 - 5x = 0$. 2. A fórmula usada para resolver equações quadráticas é fatoração, soma e produto, ou fórmula de Bhaskara. Aqui, pode

1. **Énoncé du problème** : Trouver l'écriture scientifique du nombre $$C = \frac{0{,}05 \times (10^{-3})^5 \times 3{,}6 \times 10^{-7} \times 0{,}7}{150 \times 10^8 \times 2{,}1}$

1. **Énoncé du problème :** Calculer la valeur de $A = \frac{5}{3} - \frac{4}{3} \times \frac{9}{7} + \frac{3 - \left(\frac{3}{2}\right)^2}{\left(\frac{3}{4}\right) \times 7}$ sous

1. **Énoncé du problème** : Factoriser au maximum les expressions suivantes : $$D = (2x + 7)^2 - 2x - 7$$

1. **Stating the problem:** We are given four equations and three graphs with descriptions. We need to find the equation corresponding to each graph. 2. **Recall the slope-intercep

1. **Problem:** Beräkna $\frac{i}{1+i}$. 2. **Formel och regler:** För att dividera komplexa tal, multiplicera täljare och nämnare med nämnarens konjugat för att få bort imaginära

1. Problemet är att lösa ekvationen $iz = 5 - 3i$ där $i$ är den imaginära enheten med egenskapen $i^2 = -1$. 2. Vi vill hitta $z$ genom att isolera det i ekvationen. Formeln vi an

1. **State the problem:** Factor each of the given expressions: - $64b^4 - 81$

1. **State the problem:** Solve the inequality $$9|x+1| \geq \frac{1}{81}$$. 2. **Recall the properties of absolute values:** For any real number $a$, $|a| \geq 0$ and $|a| = \frac

1. **State the problem:** Solve the inequality $$439 \cdot 9^{5-|x+1|} \geq \frac{1}{81}$$. 2. **Rewrite the bases:** Note that $$9 = 3^2$$ and $$\frac{1}{81} = 81^{-1} = (3^4)^{-1

1. **State the problem:** Simplify or analyze the expression $\sqrt{x+4}+2$. 2. **Understand the components:** The expression consists of a square root function $\sqrt{x+4}$ and a

1. **State the problem:** We need to model two functions with tables of values and graphs. 2. **Functions given:**

1. **Problem:** Write an equation for the line that is perpendicular to the given line and passes through $(-1,3)$. The given line is $-y=5-10x$. 2. **Put the given line into slope

1. **Problemstellung:** Gegeben sind die Geraden I: $2x + y = 2$

1. **State the problem:** Elsie's Lemonade uses 30 milliliters of lemon juice and twice as much syrup for each glass. We need to find the total amount of syrup needed for 75 glasse

1. **State the problem:** Factor each algebraic expression. 2. **Expression 1: $64 b^4 - 81$**

1. **State the problem:** Solve the equation $3^2 - (17 + 4 - 13)^2 = 73$. 2. **Apply PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction):**

1. **Énoncé du problème :** Nous avons deux représentations graphiques C1 (parabole) et C2 (droite) de deux fonctions. La fonction $f$ est définie par $f(x) = -2x + 8$.

1. **State the problem:** We have two linear functions, Function A and Function B. We need to compare their x-intercepts and y-intercepts. 2. **Find the equation of Function A:** G