🧮 algebra

1. The problem is to analyze the curve given by the equation $$y=\frac{x+1}{2}-1$$. 2. This is a linear function in the form $$y=mx+b$$ where $$m$$ is the slope and $$b$$ is the y-

1. Diketahui fungsi polinomial $f(x) = 3x^3 + (4 + m)x^2 + mx + 6$. Kita ingin mencari nilai $m$ agar sisa pembagian $f(x)$ oleh $(x + 2)$ adalah $-10$. 2. Gunakan Teorema Sisa: si

1. Diketahui fungsi polinomial $f(x) = 3x^3 + (4 + m)x^2 + mx + 6$ dan diketahui bahwa $f(x)$ dibagi oleh $(x + 2)$ memberikan sisa $-10$. Kita diminta mencari nilai $m$. 2. Menuru

1. Let's clarify the expression $t - \tau$ in the context of problems involving time variables. 2. Typically, $t$ represents the current time or observation time.

1. **Problem 1: Find the equation of the straight line EF passing through points E(-1, 3) and F(6, -1).** 2. The formula for the slope (gradient) $m$ of a line through points $(x_1

1. The problem is to find the missing number in the sequence: 904, 914, _, 926, 928, 938, 940. 2. To solve this, observe the pattern in the differences between consecutive numbers.

1. **Problem:** Solve the quadratic equation $x^2 - 2x - 15 = 0$. 2. **Formula:** The quadratic formula is used to solve equations of the form $ax^2 + bx + c = 0$:

1. The problem is to find the missing number in the sequence: 372, _, 377, 379, 382, 384, 387. 2. To solve this, we first look at the differences between the known consecutive numb

1. مسئله را بیان می‌کنیم: شما می‌خواهید یک عبارت ریاضی را به گونه‌ای بنویسید که بتوانید آن را در نرم‌افزار ورد کپی کنید. 2. برای نوشتن عبارات ریاضی در ورد، بهترین روش استفاده از فر

1. مسئله را بیان می‌کنیم: معادله داده شده $\frac{x}{y} = \frac{9 + y}{x}$ است و بازه $144 > x > 4$ داده شده است. 2. هدف ما حل معادله برای $y$ است. ابتدا معادله را ضرب در $y \times

1. **Тодорхойлолт:** Бидэнд дараах шугаман тэгшитгэлүүд өгөгдсөн байна: $$\begin{cases}

1. **State the problem:** We need to find the possible values of $a$ such that the constant term in the expansion of $$\left(\frac{x^2}{2} + \frac{a}{x}\right)^6$$ is 960. 2. **For

1. **State the problem:** We need to find the possible values of $a$ such that the constant term in the expansion of $\left(x^{22} + a x\right)^6$ is 960. 2. **Recall the binomial

1. **State the problem:** Simplify the expression $$\left( \frac{(x^{82}_{282}[292(2973)] + \text{Pentres}) * 2820^{917}}{[\![2937293828293882828382]\!]}\right) \% 99 + \sqrt[7]{\p

1. **State the problem:** Solve the equation $5(3 - 2i) + 2i(4 + 6i) = 0$ for the imaginary unit $i$. 2. **Recall the property of $i$:** $i^2 = -1$.

1. The problem asks to find the positive and negative intervals of a function, which means determining where the function's values are greater than zero (positive) and where they a

1. **State the problem:** We have the function $y=4\sqrt{-8x+16}-11$ and want to find its vertex, domain, and range, and rewrite it in vertex form. 2. **Rewrite the function inside

1. The problem is to simplify an expression, but since no specific expression was given, let's consider a general approach to simplification. 2. Simplification involves reducing an

1. The problem states: Solve for the unknown number $a$ in the equation $\frac{6}{8} = \frac{9}{a}$.\n\n2. We use the property of proportions: if $\frac{x}{y} = \frac{m}{n}$, then

1. The problem is to simplify the given expression (assumed from previous context). 2. To simplify an expression, we combine like terms, apply arithmetic operations, and use algebr

1. **State the problem:** Simplify the expression $\left(s^3 t^5\right)^4$ and write it as a single power. 2. **Recall the power of a product rule:** When raising a product to a po