🧮 algebra

1. The problem asks to draw the line given by the equation $$2x - y - 1 = 0$$ on a coordinate grid with a specific scale. 2. First, rewrite the equation in slope-intercept form to

1. The problem asks to convert 163% to a decimal. 2. Recall that percent means per hundred, so 163% means 163 per 100.

1. **State the problem:** Solve the equation $x - (5x + 3) - 3 = -(-x + 2)$ for $x$. 2. **Apply the distributive property and remove parentheses:**

1. **State the problem:** Solve the linear equation $6x + 8 = 2x - 28$ for $x$. 2. **Write down the equation:**

1. Problemet är att bestämma en tredjegradsfunktion som skär x-axeln i punkterna $x=-2$, $x=1$ och $x=5$, och som går genom punkten $(-1,3)$. Vi ska skriva funktionen i utvecklad f

1. **State the problem:** Solve for $ab$ given the equations: $$(a - 6)(a + 6) = 49$$

1. The problem asks to identify which inequality matches a graph with a line of slope $-\frac{3}{4}$ and y-intercept 3, where the line is solid and the shaded area is above the lin

1. **State the problem:** Add the fractions $\frac{1}{3}$ and $\frac{1}{4}$. 2. **Formula and rules:** To add fractions, they must have a common denominator. The formula is

1. The problem involves analyzing and graphing a system of inequalities involving lines and shaded regions. 2. The inequalities given are:

1. Vamos resolver a equação do item a) \((x - 6)(x + 1) = 0\).\n\n2. Para que o produto seja zero, pelo menos um dos fatores deve ser zero. Portanto, temos:\n\n$$x - 6 = 0 \quad \t

1. **State the problem:** Simplify the expression \( \frac{2}{x} + \frac{x}{x+1} \). 2. **Find a common denominator:** The denominators are \( x \) and \( x+1 \). The common denomi

1. The problem asks for the y-intercept of a linear function. 2. The y-intercept is the point where the line crosses the y-axis, which means the x-coordinate is 0.

1. **State the problem:** Evaluate the expression $xy - x(x - y^{0})$ given $x = 2$ and $y = -\frac{1}{2}$. 2. **Recall the rule:** Any number raised to the power 0 is 1, so $y^{0}

1. **State the problem:** Solve the equation $$3^{0}(2x - 5) + (-x - 5) = -3(x^{0} - 2)$$. 2. **Recall important rules:**

1. **State the problem:** We are given a set of ordered pairs representing the number of tickets (input) and the total cost (output). We need to determine if the cost is a function

1. **State the problem:** We are given a relation shown in a table with inputs and outputs: | Input | Output |

1. **Identify the x- and y-intercepts of the first equation:** $y=2x-2$ - To find the x-intercept, set $y=0$ and solve for $x$:

1. **Identify the slope and y-intercept for the equation** $y = - \frac{5}{6} x + 4$. The slope-intercept form is $y = mx + b$ where $m$ is the slope and $b$ is the y-intercept.

1. **State the problem:** We are given a quadratic function $y = ax^2 + bx + c$ with a minimum point at $(5, -3)$ and it passes through the point $(4, 0)$. We need to find the valu

1. Laten we het probleem formuleren: je wilt hulp met een wiskundig probleem in het Nederlands. 2. Omdat je geen specifieke vraag gaf, kan ik je helpen met een voorbeeldprobleem of

1. **State the problem:** Solve the linear equation $3x - 2y = 12$ for $y$ in terms of $x$. 2. **Formula and rules:** To solve for $y$, isolate $y$ on one side of the equation. Thi