🧮 algebra
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Arithmetic Progression
1. Problem: Given the sum of the first 10 terms of an A.P is 240 and the 8th term is 34, find:
a. Common difference
Complete Sum
1. **State the problem:** Given two numbers 15.56 and 3.26, find two numbers that will complete 15.56.
2. **Interpretation:** To "complete" 15.56 using 3.26 and two unknown numbers
Pyramid Sum
1. The problem shows a pyramid-like structure with three levels: a bottom level with one rectangle labeled 3.26, a middle level with two rectangles labeled 8.4 on the left and 7.16
Sequence Analysis
1. For the sequence $a_n = \frac{-2n + 1}{n}$:
Simplify the expression by dividing each term by $n$:
Kuadrat Pemecahan
1. Diberikan persamaan kuadrat $$4x^2 - 12x - 7 = 0$$. Kita diminta mencari himpunan penyelesaiannya.
2. Langkah pertama adalah menggunakan rumus kuadrat $$x = \frac{-b \pm \sqrt{b
Solution Point
1. The problem is to find a point \((x,y)\) that satisfies both inequalities:
$$y > 2x - 8$$
Sales And Surveys
1. **QUESTION ONE: Organize sales data and calculate total sales for both groups**
- Kamukamu last month: 2520 litres milk, 35 bags maize, 10 bags beans
Polynome Interpolation
1. **Énoncé du problème** : Construire un polynôme d'interpolation $P(x)$ de degré 4 qui passe exactement par les cinq points expérimentaux $(x,y)$ donnés par les dosages et leurs
Hosi Speed
1.問題を述べる。
પ્રવાહની ઝડપ 2 km/h છે.
Equation Solving
1. The problem is to solve the given equations. However, you did not provide any specific equations to solve.
2. Please provide one or more algebraic equations, and I will guide yo
Polynome Interpolation
1. **Énoncé du problème** :
Construire un polynôme d'interpolation $P(x)$ de degré 4 passant par les cinq points expérimentaux $(x_i, y_i)$ donnés par :
Equation Solving
1. The problem asks to solve the given equations. However, no specific equations were provided in the prompt.
2. Please provide the equations you want solved so I can assist you st
Bag Pen Price
1. પ્રથમ, ચાલો બેગોની કિંમતને $x$ અને પેનોની કિંમતને $y$ માનીએ.
2. આપેલ છે: 2 બેગો અને 6 પેનોની કુલ કિંમત $588$ છે, એટલે કે
Algebra Expressions Systems
1. Simplify the expressions and solve the equations given:
a. Simplify $n^2 + 4n + 15n + 60$.
System Determinants
1. **Problem statement:**
Given the system of equations:
Determinant Calculation
1. The problem is to find the determinant of the given 3x3 matrix:
$$\begin{vmatrix} 1 & 1 & 0 \\ 7z & 2x & 0 \\ x & y & 2 \end{vmatrix}$$
Ap Problems
1. Problem 1: Given sum of first 10 terms $S_{10} = 240$ and the 8th term $a_8 = 34$ of an arithmetic progression (A.P), find:
1.a Common difference $d$
Find Qq Coordinates
1. **State the problem:** We have the parabola $y = x^2 - 6x + 8$ and a horizontal line $PQ$ where $P$ lies on the $y$-axis and both $P$ and $Q$ lie on the parabola. We need to fin
Simplify Surd
1. **State the problem:** We need to calculate $\sqrt{90} \div \sqrt{2}$ and express the answer as a surd in its simplest form.
2. **Use the property of square roots:** $\sqrt{a} \
Square Root Equality
1. The problem asks us to find the value of $d$ in the equality $$\frac{\sqrt{10} \times \sqrt{42}}{\sqrt{2}} = \sqrt{d}$$.
2. Start by simplifying the numerator. Using the propert
Rationalise Denominator
1. The problem is to rationalise the denominator of the expression $\frac{1}{\sqrt{11}}$.
2. To remove the square root from the denominator, multiply both the numerator and denomin