🧮 algebra

1. **State the problem:** Find the lowest common multiple (LCM) of the numbers $$A = 2^3 \times 3 \times 5 \times 7^2$$

1. **State the problem:** We need to describe the transformations applied to the graph of $y=f(x)$ to obtain the graphs of the given functions. 2. **Recall transformation rules:**

1. The problem asks to describe the transformations applied to the graph of $y=f(x)$ to obtain each new function. 2. Recall the general transformation rules:

1. The problem asks to identify which statement does NOT describe the explicit arithmetic formula. 2. The explicit arithmetic formula for an arithmetic sequence is given by:

1. The problem states that the function $f(x) = 52x - 33$ is rotated clockwise, and we need to find a possible equation for the transformed function $g(x)$. 2. When a linear functi

1. **Stating the problem:** Adam běžel 10 km za 50 minut stálým tempem.

1. The problem is to solve the equation $x^2 - 5x + 6 = 0$. 2. We use the quadratic formula or factorization to solve quadratic equations. The quadratic formula is:

1. **State the problem:** We are given that $y$ is inversely proportional to the square of $(x+3)$, i.e., $y \propto \frac{1}{(x+3)^2}$. When $x=2$, $y=5$. We need to find the form

1. **Problemstellung:** Gegeben ist die Kostenfunktion eines Kinderstuhls $$K(x) = 0{,}05 \cdot x^2 + 6 \cdot x + 260$$ und der Preis pro Stück ist 20. Gesucht sind die Fixkosten,

1. **Problemstellung:** Gegeben ist die Gewinnfunktion $$G(x) = -x^3 + 16x^2 - 27x - 252$$. Gesucht sind die Nullstellen, die Gewinnzone, der maximale Gewinn und der Wendepunkt der

1. Énoncé du problème : Si $a > -3$, déterminer quelle inégalité parmi les propositions suivantes est vraie : - $-2a < -6$

1. Problemet: Vi skal omskrive formlen for omkredsen af en cirkel, som er givet ved $$O = 2 \cdot \pi \cdot r$$, så vi isolerer radius $r$.\n\n2. Formel: Start med formlen $$O = 2

1. Problemet er å løse ligningen $$\frac{8}{x} + 7 = 11$$ for $x$. 2. Vi starter med å isolere brøkdelen ved å trekke 7 fra begge sider:

1. **Stating the problem:** Vi skal løse ligningen $$6x = 4 \cdot (x + 2)$$. 2. **Brug formlen og regler:** Vi starter med at udvide højre side ved at gange 4 med både $$x$$ og 2.

1. **State the problem:** Solve the equation $p + 2p + (p - 2) = 18$ for $p$. 2. **Combine like terms:** Add all the $p$ terms together and simplify the constants.

1. **State the problem:** We have a bouquet with red, purple, and orange balloons. The number of each color is given by: - Red: $2p$

1. **State the problem:** Simplify the complex rational expression \n $$\frac{-\frac{7}{x+7} - \frac{2}{x+6}}{-\frac{6}{x+7}}$$\n

1. **State the problem:** Solve the rational equation $$\frac{2x}{x+5} + \frac{4}{x+3} = \frac{8}{x^2 + 8x + 15}$$. 2. **Factor the denominator on the right:** Note that $$x^2 + 8x

1. **Problem 5:** Determine which set of ordered pairs satisfies the condition that the second number is 2 more than twice the first number. 2. The formula for this condition is:

1. **State the problem:** Solve for $x$ in the equation $$2(x - 2) = 4x - 13$$ and express the answer to the nearest tenth. 2. **Apply the distributive property:** Multiply 2 by ea

1. **State the problem:** Simplify the expression $$\frac{13 + (-3)^2 + 4(-3) + 1 - [-10 - (-6)]}{\left[4 + 5\right] \div \left[4^2 - 3^2(4 - 3) - 8\right] + 12}$$