🧮 algebra

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

1. **State the problem:** Solve the linear equation $4x - y = 6$ for $y$ in terms of $x$. 2. **Formula and rules:** To solve for $y$, isolate $y$ on one side of the equation by mov

1. The problem appears to involve understanding or calculating something related to the arrangement of rectangles labeled with numbers 7, 1, 1, and 1, and a label "x0" below them,

1. **State the problem:** Solve for $x$ in the quadratic equation $$-x^2 + 7x - 19 = 0.$$\n\n2. **Rewrite the equation:** Multiply both sides by $-1$ to make the leading coefficien

1. **State the problem:** Simplify the radicand expressions and solve the quadratic equation $-x^2 + 7x - 19 = 0$ using the quadratic formula. 2. **Simplify each radicand:**