🧮 algebra

1. **State the problem:** Solve the system of linear equations by graphing and find the number of solutions. Given system:

1. **State the problem:** We know that 10 students represent 4% of the seventh grade. We need to find the total number of students in the seventh grade. 2. **Set up the proportion:

1. **State the problem:** Latanya misses 20% of her free throws and missed 48 shots. We need to find the total number of free throws she attempted. 2. **Formula used:** Percentage

1. **State the problem:** Simplify the expression $R = 2 - 5 + r_1 r_2 r_6$. 2. **Apply arithmetic operations:** First, simplify the constant terms $2 - 5$.

1. **State the problem:** Solve for $s$ in the equation $$5s + 2s + 4s - 5s = 6$$. 2. **Combine like terms:** Add and subtract the coefficients of $s$ on the left side.

1. **State the problem:** Solve the equation $-14w + 13w = -11$ for $w$. 2. **Combine like terms:** On the left side, combine $-14w$ and $13w$:

1. **State the problem:** We are given the function $$y = -2^{-\frac{1}{2}x+1} + 5$$ and need to find its domain, range, x-intercept, y-intercept, and asymptotes. 2. **Rewrite the

1. El problema es analizar la función $$f(k) = \frac{2}{k - e^{-1}}$$. 2. Esta función es una función racional, donde el numerador es constante 2 y el denominador es $$k - e^{-1}$$

1. **State the problem:** Solve the compound inequality $$0 \leq 3x - 5 \leq 7$$. 2. **Understand the compound inequality:** This means both inequalities must be true simultaneousl

1. The problem is to write the inequality $x < -9$ or $x > -6$ in interval notation. 2. Recall that interval notation expresses sets of numbers as intervals between two endpoints.

1. **State the problem:** Simplify the expression $$\frac{-3xy^4}{-21x^3y^2}$$. 2. **Write the expression:** $$\frac{-3xy^4}{-21x^3y^2}$$.

1. **State the problem:** We need to solve for $x$ given the formula:

1. **State the problem:** Solve the compound inequality $$x + 9 < 0 \text{ or } 2x > -12$$. 2. **Solve the first inequality:**

1. The problem asks to write the inequality $x \geq 3$ in interval notation. 2. Interval notation expresses the set of all numbers that satisfy the inequality.

1. **State the problem:** Solve the compound inequality $-3x \leq -9$ or $3x - 26 \geq -8$. 2. **Solve the first inequality:**

1. The problem asks for the output of a function when the input is 10 and to plot this point with its coordinates. 2. Since the function is not specified, let's assume a general fu

1. **State the problem:** Simplify the expression $4 \times 3 \times 4 \times 30 - 8xj - 7 - 9 + y + 1r$. 2. **Multiply the constants:** Calculate $4 \times 3 = 12$, then $12 \time

1. **State the problem:** Solve the compound inequality $$x \leq -4 \text{ or } x \geq 10$$ and represent the solution on a number line and in interval notation. 2. **Understand th

1. **State the problem:** We are given a point $P = (7, 27.5)$ and a linear function $y = 2x + 45$. We want to verify the value of $y$ at $x=7$ and understand the graph description

1. We are given the compound inequality $$-14 \leq 7x - 7 \leq 7$$ and need to find the solution set for $x$. 2. The goal is to isolate $x$ in the middle. We start by adding 7 to a

1. **Stating the problem:** Solve the system of equations \(\{x^2 + y^2 = 10, x + y = -1\}\). 2. **Formula and rules:** We can use substitution or elimination. Here, from the linea