🧮 algebra

1. **Problem:** Make a Venn diagram using numbers. 2. A Venn diagram uses overlapping circles to show how numbers can belong to different groups.

1. Vamos resolver a equação \((x - 2)^2 = 8 - 4x\).\n\n2. Primeiro, expandimos o lado esquerdo usando a fórmula do quadrado da diferença: \((a - b)^2 = a^2 - 2ab + b^2\).\n\n3. Ass

1. The problem is to solve a linear equation or expression (please provide the exact problem next time for precise help). 2. The general formula for solving linear equations is to

1. **State the problem:** Jessa's standard hourly pay is 110 pesos. We need to find her overtime pay for 11 hours at a 1.5 multiplier. 2. **Formula used:** Overtime pay per hour =

1. Nyatakan masalah: Kos, $C$, menghasilkan sebuah buku berubah secara langsung dengan bilangan halaman, $h$, dan secara songsang dengan bilangan naskhah, $n$. Diberi kos menghasil

1. The problem states that the cost $C$ varies directly with the number of pages $h$ and inversely with the number of copies $n$. This means we can write the formula as: $$C = k \f

1. The problem is to solve the equation $2x + 3 = 11$ for $x$. 2. The formula used here is to isolate the variable $x$ by performing inverse operations. Important rules include doi

1. **Problem Statement:** Jonas has an annual salary of 312000, works 22 days per month, 8 hours per day. He worked 2 hours overtime on Monday and 3 hours night shift on Saturday (

1. We start with the equation given: $$\frac{1}{4 \sqrt{a^3}} = \frac{1}{32}$$ 2. To solve for $a$, first recognize that the denominators must be equal since the fractions are equa

1. **Nêu bài toán:** Tìm và biểu diễn hình học tất cả các nghiệm của phương trình $$5(x+y)=2x+4y-1$$. 2. **Viết lại phương trình:**

1. **Stel het probleem vast:** We willen het snijpunt van de grafiek van de functie $$g(x) = 4 - 8 \cdot \left(\frac{1}{2}\right)^x$$ met de x-as bepalen. 2. **Formule voor snijpun

1. **State the problem:** Find all complex solutions of the quadratic equation $$3x^2 - x + 4 = 0.$$\n\n2. **Recall the quadratic formula:** For an equation $$ax^2 + bx + c = 0,$$

1. **State the problem:** Simplify the expressions $$\frac{\sqrt{-48}}{\sqrt{-16}}$$ and $$\sqrt{-6} \cdot \sqrt{-10}$$ with no negative numbers under radicals and no radicals in d

1. **State the problem:** Find the equation of line D in the form $y = mx + c$ given it crosses the y-axis at 2 and passes through points approximately $(1, 3.5)$ and $(4, 8)$. 2.

1. The problem asks to identify where Emilio made a mistake while factoring the trinomial $x^2 - x - 12$. 2. In Part A, Emilio rewrites the expression as $x^2 - 4x + 3x - 12$ to re

1. **State the problem:** Factor the quadratic expression $s^2 + 6s + 5$ into the product of two binomials. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, th

1. The problem is to solve the formula for the area of a trapezoid, given by $$A = \frac{1}{2} h (x + y)$$, for the height $h$. 2. The formula relates the area $A$, the height $h$,

1. **State the problem:** Solve the equation $$2x - y = 18$$ first for $$x$$, then for $$y$$. 2. **Solve for $$x$$:**

1. We are asked to find the equation of the tangent line $t$ to the graph of the function $f(x) = x^2$ at the point $P(-3, 9)$. 2. The formula for the tangent line to a function $f

1. **Stel het probleem vast:** We hebben twee getallen die zich verhouden als 5 : 4. Dit betekent dat de verhouding van het eerste getal tot het tweede getal 5 tot 4 is. 2. **Formu

1. **State the problem:** Solve the equation $$\frac{2x+3}{4} = 5$$ for $x$. 2. **Formula and rules:** To solve equations involving fractions, multiply both sides by the denominato