🧮 algebra

1. The problem is to solve the compound inequality: $$28 < 4x - 8 \text{ or } 4x - 8 > 36$$ 2. We will solve each inequality separately and then combine the solutions using the "or

1. State the problem. Solve the equation $\sqrt[3]{5x+5}+4=-1$.

1. **State the problem:** Find the value of $f(3)$ given $f(x) = \sqrt{x} + 1 + 5$.

1. **Stating the problem:** We are given a graph with points at (-9,7), (-3,-2), (0,5), (4,9), and (9,0) and asked to analyze the behavior of the function $y=f(x)$ over the interva

1. **State the problem:** Solve the equation $$\frac{x + 9}{7} = \frac{5x - 8}{6}$$ for $x$. 2. **Use the cross-multiplication formula:** When two fractions are equal, their cross

1. **State the problem:** Simplify the expression $6 + 6 \div 3 \times 4$. 2. **Recall the order of operations:** Use PEMDAS/BODMAS rules: Parentheses, Exponents, Multiplication an

1. **State the problem:** Solve for $x$ in the equation $$\frac{6}{x+5} = \frac{7}{x-7}.$$\n\n2. **Use the cross-multiplication rule:** When two fractions are equal, their cross pr

1. **State the problem:** Calculate $25$ to the power of $2$ divided by $22.3452$. 2. **Write the expression:** The problem can be written as $$\frac{25^2}{22.3452}$$.

1. **State the problem:** Factorise completely the expression $14xy - 7y^2$ using the factorising method. 2. **Identify common factors:** Look for the greatest common factor (GCF)

1. **State the problem:** Solve the quadratic equation $X^2 + 8X + 10 = 30$ using the factorising method. 2. **Rewrite the equation:** Move all terms to one side to set the equatio

1. **Problemstellung:** Untersuchen Sie die Funktion $f(x)=0,5x^2-4x$ bezüglich Symmetrie, Globalverhalten, Achsenschnittpunkten, lokalen Extrem- und Wendepunkten sowie Steigungs-

1. Das Problem: Löse die Gleichung $11x - 7 = 4x + 18$. 2. Formel und Regeln: Um eine lineare Gleichung zu lösen, bringen wir alle Terme mit $x$ auf eine Seite und die Konstanten a

1. **Problemstellung:** Löse die quadratische Funktion $f(x)=0,5x^2-4x$ und untersuche sie bezüglich Symmetrie, Achsenschnittpunkten, Extremstellen und Krümmungsverhalten. 2. **For

1. **State the problem:** Solve the quadratic equation $$3x^2 = 4 - 4x$$ for $x$. 2. **Rewrite the equation:** Move all terms to one side to set the equation to zero:

1. The problem is to find the value of $r$ given an equation involving $r$. However, the equation is missing from the user's message. 2. To solve for $r$, we need the full equation

1. **State the problem:** Solve the linear equation $$22 - 8x = 2x + 9$$ for $x$. 2. **Write down the formula and rules:** To solve for $x$, we want to isolate $x$ on one side of t

1. **State the problem:** Solve the linear equation $4m + 5 = 35 - 2m$ for $m$. 2. **Write down the equation:**

1. **Problem statement:** Vi har funktionen $$f(x) = \frac{1}{3}x^3 - 2x^2 - 5x + 8$$.

1. **State the problem:** Evaluate the expression $(-3)^2 - (-1)^3$. 2. **Recall the rules:**

1. **State the problem:** Simplify the expression $$\frac{18h^2}{9h}$$. 2. **Recall the rule:** When dividing powers with the same base, subtract the exponents: $$\frac{a^m}{a^n} =

1. The problem is to evaluate powers of negative numbers and understand their results. 2. The formula for powers is $a^n = a \times a \times \cdots \times a$ ($n$ times).