🧮 algebra

1. **State the problem:** Make $x$ the subject of the equation $$3y = x - 6$$. 2. **Formula and rules:** To make $x$ the subject, we need to isolate $x$ on one side of the equation

1. The problem is to find 21% of 290.04. 2. The formula to find a percentage of a number is:

1. Das Problem lautet: Bestimme die allgemeine Form einer quadratischen Funktion. 2. Die allgemeine Form einer quadratischen Funktion ist gegeben durch die Formel:

1. **State the problem:** We need to check if the point $(-4, 5)$ satisfies the system of equations: $$x = -4$$

1. **State the problem:** Determine if the point $(-4, 5)$ satisfies the system of equations: $$x = -4$$

1. The problem is to solve the equation given by the user. However, no specific equation was provided, so I will demonstrate solving a simple algebraic equation as an example: Solv

1. **State the problem:** We need to check if the point $(-5, 2)$ satisfies the system of equations: $$x = -5$$

1. The problem involves understanding steps 2 and 3 of a previous solution. Since the original problem is not restated, let's clarify what typically happens in these steps. 2. Step

1. **State the problem:** We need to fill the empty cells in a 3x3 grid so that every row, column, and diagonal sums to 24. 2. **Given numbers and positions:**

1. The problem is to verify the equality of expressions using the associative property of multiplication. 2. The associative property states that for any numbers $a$, $b$, and $c$,

1. **State the problem:** We have a function machine where the input is $-2$, it is first multiplied by an unknown value $x$ (the question mark), then multiplied by $-3$, and the o

1. The problem is to calculate $9 \times 2 \times 4$ using the associative law of multiplication. 2. The associative law states that for any numbers $a$, $b$, and $c$, we have:

1. The problem states that $63 \times 76 = 4788$ and asks to find the number that fits in the gap in the equation: $$76 \times 63 = 63 + \boxed{\text{?}}$$

1. Das Problem lautet: Finde die Nullstelle der Funktion $f(x) = 3x^4 + 2x$. 2. Eine Nullstelle ist ein Wert von $x$, für den $f(x) = 0$ gilt.

1. **State the problem:** We want to express $\sqrt{3 + 2\sqrt{2}}$ in the form $m + n\sqrt{2}$ where $m$ and $n$ are integers. 2. **Recall the formula:** Given $(a + b\sqrt{2})^2

1. The problem is to solve the quadratic equation $7.5x^2 + 4x - 8 = 0$ for $x$. 2. We use the quadratic formula to solve equations of the form $ax^2 + bx + c = 0$:

1. **State the problem:** We are given two equations:

1. The problem is to evaluate the expression $$\frac{( + - )}{\frac{1}{2}}$$ where the numerator contains operations represented by boxes, and one box equals 64. 2. Since the numer

1. **State the problem:** Solve the equation $$-\frac{59}{60} = -\frac{6}{5} + \frac{1}{5}k$$ for $k$. 2. **Isolate the term with $k$:** Add $\frac{6}{5}$ to both sides to move con

1. **State the problem:** Solve for $k$ in the equation $$9 - \frac{59}{60} = -\frac{6}{5} + \frac{1}{5}k.$$\n\n2. **Rewrite the equation:** \n$$9 - \frac{59}{60} = -\frac{6}{5} +

1. O problema pede para resolver a equação dada (não especificada na mensagem, mas assumiremos que seja uma equação algébrica comum). 2. Para resolver uma equação, usamos a regra f