🧮 algebra

1. Studiare i punti di discontinuità della funzione $f(x) = \frac{x^2 - 9}{x^2 - 5x + 6}$. 2. La funzione è una frazione razionale, quindi è continua ovunque tranne dove il denomin

1. Il problema è risolvere equazioni o operazioni con numeri complessi, che sono numeri della forma $a+bi$, dove $a$ e $b$ sono numeri reali e $i$ è l'unità immaginaria con la prop

1. **State the problem:** Solve the equation $3x - 6 = 2x - 2$ for $x$. 2. **Write down the equation:**

1. **State the problem:** Solve the linear equation $3x - 6 = 2x - 2$ for $x$. 2. **Write down the equation:**

1. **Problem Statement:** Water is flowing out of tanks P, Q, and R. We need to analyze the volume of water over time based on the graph.

1. **State the problem:** Simplify the expression $$\frac{2x^2 - 8}{4x}$$. 2. **Write the formula and rules:** To simplify a rational expression, factor numerator and denominator a

1. Il problema richiede di descrivere il dominio, l'intersezione con gli assi, gli asintoti e la derivata prima di una funzione (non specificata, quindi prenderò un esempio generic

1. **Stating the problem:** We have three cruisers A, B, and C spotted at the same area in the sea. We need to find:

1. **State the problem:** Ella sells small prints for 50 each and large prints for 75 each. She sells a total of 52 prints and earns 2975 in total. We need to find how many small a

1. مسئله: عدد $-\frac{9}{7}$ متعلق به کدام بازه است؟ 2. ابتدا مقدار عدد را به صورت اعشاری بررسی می‌کنیم: $-\frac{9}{7} \approx -1.2857$.

1. **State the problem:** Determine whether the data sets in problems 14 and 15 represent linear, quadratic, or neither functions. 2. **Recall definitions:**

1. **Problem statement:** Given a transformed square root function with domain $x \geq -2$ and range $y \geq -5$, write a possible equation for this function. 2. **Recall the paren

1. **State the problem:** Solve the equation $$\frac{2x+4}{3} = 5$$ for $x$. 2. **Formula and rules:** To solve for $x$, multiply both sides of the equation by 3 to eliminate the d

1. **State the problem:** Solve the equation $$\log_3(x) + \log_3(2x + 3) = 3$$ for $x$ and check for extraneous solutions. 2. **Use the logarithm property:** Recall that $$\log_b(

1. The problem asks: What must be true for a system of linear equations to have no solution? 2. The system given is:

1. **State the problem:** Simplify the expression $$\frac{3}{4} - \frac{2}{3}(-6x + 2)$$. 2. **Recall the distributive property:** When you have a term multiplied by a sum or diffe

1. **State the problem:** We need to express the total yearly amount paid under two plans, A and B, as functions of the dollars of merchandise purchased, $x$. 2. **Plan A function:

1. **State the problem:** We need to express the total yearly amount paid under Plan A as a function of the dollars of merchandise purchased, $x$. 2. **Identify the components of P

1. **State the problem:** Find the sum of the vectors $\langle 7, -2 \rangle$ and $\langle 1, 8 \rangle$, then find the magnitude and direction of the resultant vector.

1. **State the problem:** Identify the graph corresponding to the equation $$y = 8(4)^x$$. 2. **Recall the form of the equation:** This is an exponential function of the form $$y =

1. **State the problem:** Simplify the algebraic fractions given: $$\frac{6x + 8}{2}, \quad \frac{7m - 70n^3}{7}, \quad \frac{9x^2 + 12x + 33}{6}, \quad \frac{8x^6 + x^4 + 3x}{x}$$