🧮 algebra

1. The problem is to express a linear equation in the form $y = Mx + c$ where $M$ is the slope and $c$ is the y-intercept. 2. The general form of a linear equation is $y = Mx + c$.

1. The problem is to understand and analyze the quadratic function given by the formula $y = a(x+b)^2$. 2. This is a quadratic function in vertex form, where $a$ controls the width

1. **State the problem:** Solve the quadratic equation $a^2 = 9a + 14$ and then simplify the expression $2a^2 - 2a - 4$ using the solution. 2. **Rewrite the equation:** Move all te

1. The problem is to solve the expression $14c$ for a given value of $c$ or to simplify it if possible. 2. The expression $14c$ means $14$ multiplied by $c$. Without a specific val

1. **State the problem:** Solve the equation $12x = -11x - 20$ for $x$. 2. **Write down the equation:**

1. Таны өгсөн асуудал: Танкан дахь эхний усны хэмжээг $x$ литр гэж тэмдэглэе. 2. Асуудлын нөхцөлүүдийг томъёолох:

1. Асуудлыг тодорхойлж эхэлье: Өглөөний температур -5.4 градус Цельс байсан. 2. Өдрийн турш температур 12.8 градусаар нэмэгдсэн.

1. Асуудлыг тодорхойлж эхэлцгээе: Туршилтын төгсгөлд 0.85 литр химийн уусмал үлдсэн. 2. Туршилтын явцад 1.25 литр уусмалыг нэмж, 2.55 литрийг ашигласан гэж өгөгдсөн.

1. Problema ne oferă o lege de compoziție definită prin formula: $$x \bullet y = -\frac{1}{4}(x+1)(y+1) - 1$$

1. **State the problem:** We are given the function $h(x) = 2^x$ and the inverse function value $h^{-1}(x) = 5$. We need to find the value of $x$ such that $h^{-1}(x) = 5$. 2. **Re

1. **Stating the problem:** We want to transform the expression for $k_t^{E, \ell}$ given in the first formula (picture 1) into the simplified form shown in the third formula (pict

1. Diberikan fungsi kuadrat $f(x) = ax^2 - 4x + a - 2$ dengan nilai minimum 1. 2. Fungsi kuadrat $f(x) = ax^2 + bx + c$ memiliki nilai minimum jika $a > 0$ dan nilai minimumnya ada

1. **State the problem:** We need to simplify and understand the function $f(x) = 7\sqrt{(2x^2 + 6x)^3}$. 2. **Recall the formula and rules:** The square root of a power can be rew

1. **State the problem:** We are asked to sketch the graph of the function $$f(x) = (x - 1)^2 (x + 1)^3$$.

1. **State the problem:** Find the slope of the line passing through the points $(4,3)$ and $(5,8)$. 2. **Formula:** The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is

1. **State the problem:** Calculate the value of the expression $D=2-(-1)+2-(-2)$. 2. **Recall the rule:** Subtracting a negative number is equivalent to adding its positive counte

1. **State the problem:** Evaluate the expression $2(4)$. 2. **Understand the notation:** The expression $2(4)$ means $2 \times 4$ because parentheses indicate multiplication.

1. Problema: Avem punctele A(2,3), B(-1,5), O(0,0) în planul cartezian și trebuie să determinăm coordonatele vectorilor, mijlocul segmentului, modulul unui vector și o combinație l

1. Problema: Se dau punctele A(2,3), B(-1,5) și O(0,0) în planul cartezian. 2. a) Determinarea coordonatelor vectorilor:

1. **Problem Statement:** A car was bought in 2010 for 1250000. The car's value decreases by 25500 every year. We need to find the value of the car in 2026. 2. **Formula Used:** Th

1. The problem states that the student council raised 48000 and spent it on various items during the school festival. 2. We need to verify which statement about the spending is cor