🧮 algebra

1. **State the problem:** Graph the inequality $x - y < -1$ on the coordinate plane with axes ranging from -10 to 10. 2. **Rewrite the inequality:** Start by isolating $y$.

1. The problem is to graph the inequality $y \geq \frac{4}{3}x - 8$ on a Cartesian coordinate system. 2. The boundary line is given by the equation $y = \frac{4}{3}x - 8$. This lin

1. **State the problem:** Simplify the expression $$-2x(4x + 6x^2 - 5x^3 + 12) - 5(x - 2) + (7 - 2x)(5 - 3x^2)$$. 2. **Distribute terms:**

1. **State the problem:** We need to graph the inequality $$y \geq -\frac{1}{2}x - 2$$ on the coordinate plane. 2. **Understand the inequality:** This inequality represents all poi

1. **State the problem:** We are given a quadratic sequence: 8, 16, 26, 38, 52, ... and need to find the formula for the $n^{th}$ term. 2. **Recall the formula for a quadratic sequ

1. **State the problem:** We need to graph the inequality $y \geq \frac{3}{4}x - 4$ on the coordinate plane. 2. **Understand the inequality:** The inequality $y \geq \frac{3}{4}x -

1. **State the problem:** We are given the quadratic sequence 9, 20, 33, 48, 65, ... and need to find the formula for the $n^{th}$ term. 2. **Identify the type of sequence:** Since

1. **State the problem:** We need to understand and graph the inequality $x - y < -5$. 2. **Rewrite the inequality:** To analyze it better, isolate $y$:

1. **State the problem:** We are given the cost function for selling $x$ volleyball uniforms as $$c(x) = 1200 + 14x + 0.045x^2.$$ We want to understand or evaluate this function, p

1. The problem states that David starts with 50 cards and adds 45 cards each month. 2. We want to write an equation for $y$, the total number of cards after $x$ months.

1. **State the problem:** We need to graph the inequality $$y \leq 3x - 6$$ on the coordinate axes. 2. **Understand the inequality:** The inequality $$y \leq 3x - 6$$ means that th

1. **State the problem:** We need to graph the inequality $$2x + 3y \geq -6$$ on the coordinate plane. 2. **Rewrite the inequality as an equation:** To graph the boundary line, con

1. **State the problem:** We are given the equation $$(ax + b)(ax^2 + cx + 1) = 25x^3 + 15x^2 - 28x + 7$$ where $a$, $b$, and $c$ are constants with $a > 0$. We need to find the va

1. **State the problem:** We need to graph the inequality $$-5x + 2y > -8$$ on the Cartesian coordinate system. 2. **Rewrite the inequality in slope-intercept form:** To graph, exp

1. **Noteikt doto kopu elementus.** a) Atrisinām vienādojumu $2x - 1 = 19$.

1. **Problem statement:** We have a football league where each team plays every other team exactly once. Points are awarded as follows: 3 for a win, 0 for a loss, and 1 for a draw.

1. **State the problem:** We are given a linear cost function for hiring a scooter: $$C = 0.15t + 22$$ where $C$ is the cost in pounds and $t$ is the time in minutes. 2. **Understa

1. The problem asks to find 45% of 60. 2. To find a percentage of a number, use the formula: $$\text{Percentage of a number} = \frac{\text{percentage}}{100} \times \text{number}$$

1. **Problem statement:** We are given quantities of hair colour, colour developer, conditioner, and thickener, and we need to find and simplify ratios as fractions. 2. **Recall:**

1. **Noteikt, kurš no dotajiem skaitļiem nav racionāls skaitlis.** Racionāls skaitlis ir skaitlis, ko var izteikt kā divu veselumu daļu $\frac{p}{q}$, kur $q \neq 0$.

1. The problem involves solving and understanding the expressions related to $y^2$ given by the equations: - $-6 = y^2$