🧮 algebra

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

1. **State the problem:** We have a linear function A with given points and three other linear functions. We need to find the slope of function A and then sort the other functions

1. **State the problem:** We are given that the sum of two numbers is $4 \frac{1}{8}$ and their difference is $\frac{7}{8}$. We need to find the two numbers. 2. **Convert mixed num

1. **State the problem:** We are given that the sum is 4 and we need to find the value of $q$. 2. **Interpretation:** The problem is incomplete as stated, but typically "the sum is

1. **State the problem:** We need to find how many rolls of tape are required to tape off the perimeter of a four-sided crime scene with sides 45 ft, 54.9 ft, 25.6 ft, and 51.3 ft.

1. **State the problem:** We need to find which expression is equivalent to the product \((x - 4)(x - 8)\). 2. **Recall the formula:** To multiply two binomials, use the distributi

1. **State the problem:** Simplify the expression $$\left(\frac{j^{15}}{8}\right)^{\frac{2}{3}}$$ and find which of the given options is equivalent. 2. **Recall the exponent rule:*

1. **State the problem:** We are given the function $g(x) = a(x + 3)^2 - 5$ and the graph of $g$ with vertex at $(-3, -5)$ and passing through the point $(0, -1)$. We need to find

1. **State the problem:** We are given the function $$q(v) = (v - 8)(v - 5)(v - 4)(v + 5)(v + 10)$$ and asked to find the sum of its zeros. 2. **Recall the rule:** The zeros of the

1. **State the problem:** We have a polynomial $p(t)$ of degree 6 with factors $(t - 10)$, $(2t - 2)$, $(t + 10)$, and $(20t + 2)$. We need to determine which graph among A, B, C,

1. **State the problem:** Solve the equation $$2^{x-1} + 2^{x+1} = 40$$ for $x$. 2. **Recall the properties of exponents:**

1. **State the problem:** We have a cubic polynomial function $g(x)$ such that $g(\frac{2}{3})=0$ and $g(0)=5$. We need to determine which of the given options must be a factor of