🧮 algebra

1. **State the problem:** Solve the system of equations: $$12x + 15y = 34$$

1. Masalah pertama adalah menghitung $6P1$ menggunakan rumus permutasi $$nP r = \frac{n!}{(n-r)!}$$ 2. Terapkan rumus untuk $6P1$:

1. **Problem:** Divide the polynomial $x^2 + 5x + 6$ by $x + 2$ using long division. 2. **Formula and rules:** Polynomial long division is similar to numerical long division. We di

1. Stating the problem: Simplify the expression $$\frac{15}{6} + \frac{1}{12}$$. 2. Find a common denominator for the fractions. The denominators are 6 and 12. The least common den

1. **State the problem:** Calculate the value of the expression $$-3.14 \times 47 + 18 \times 3.14 - 171 \times 3.14$$. 2. **Rewrite the expression:**

1. The problem is to simplify the expression $$\frac{1}{3}\sqrt{8} + \frac{1}{8} - \frac{1}{5}\sqrt{50}$$. 2. Recall that $$\sqrt{8} = \sqrt{4 \times 2} = 2\sqrt{2}$$ and $$\sqrt{5

1. Problem: Solve the quadratic equation $3x^2 + 12 = 0$. 2. Formula and rules: A quadratic equation is generally in the form $ax^2 + bx + c = 0$. Here, $a=3$, $b=0$, and $c=12$. T

1. **Problem:** Which number line correctly represents the solution of the inequality $x \geq -2$? 2. **Understanding the inequality:** The inequality $x \geq -2$ means all values

1. **Evaluate** $y = k(3 + m)^2$ when $k = -2$ and $m = 9$. Step 1: Substitute the values of $k$ and $m$ into the expression:

1. **State the problem:** Simplify the algebraic expression $3x + 5x - 7$. 2. **Recall the rule:** When simplifying algebraic expressions, combine like terms. Like terms have the s

1. সমস্যা: একটি সরলরৈখিক সমীকরণ সমাধান করুন: $$3x + 5 = 20$$ 2. সূত্র: সরলরৈখিক সমীকরণের সমাধানে আমরা সাধারণত সমীকরণের উভয় পাশে সমান মান যোগ বা বিয়োগ করি এবং গুণ বা ভাগ করি যাতে

1. The problem is to find the missing numbers in the sequence: 4, __, 8, __, 16, __, 32, 64, __. 2. This sequence appears to be a geometric progression where each term is multiplie

1. **Stating the problem:** We have two groups of people: Amoako, Ben, Charles and Blay, Daniel, Evans. Each group receives money in the ratio 2:5:3.

1. The problem is to solve the inequality, but the inequality itself is missing from the message. Please provide the inequality to solve.

1. **State the problem:** Solve the inequality $$1 - (x(t))^2 \geq \frac{8}{3}$$ for $x(t)$.\n\n2. **Rewrite the inequality:** Move all terms to one side to isolate the quadratic t

1. **State the problem:** Solve the system of equations: $$x + y = 5$$

1. The problem involves finding the number inside the circle below each inverted triangle based on the numbers around and inside the triangle. 2. Observing the first three examples

1. **Problem statement:** Factorize the polynomial $$x^5 - 10x^4 + 35x^3 - 50x^2 + 24x$$ over the rationals using the rational root theorem.

1. **State the problem:** Simplify the expression $$\frac{2}{x^2 + 4x + 4} + \frac{1}{x + 2}$$. 2. **Factor the quadratic:** Notice that $$x^2 + 4x + 4$$ is a perfect square trinom

1. **State the problem:** We need to find the sum of the first 100 whole numbers. 2. **Identify the formula:** From the pattern, the sum of the first $n$ whole numbers is given by

1. **State the problem:** We are given a sequence where the first term is $1 - a$.