🧮 algebra

1. The problem asks us to rewrite the quadratic function \( g(x) = 5x^2 + 20x - 12 \) in the form \( g(x) = a(x+h)^2 + k \), where \(a, h, k\) are integers. 2. Start with the origi

1. **Odredi ostatak pri deljenju polinoma $P(x) = 4x^{20.5} - 20x^{15} - 12x^{17}$ sa polinomom $x + 1$.** - Da bismo odredili ostatak pri deljenju polinoma sa binomom $x + 1$, kor

1. Calculate the expression $(8+2\times3)2 \div (6-4) + 16 \div 2$. - First simplify inside parentheses and multiplication: $8 + 2 \times 3 = 8 + 6 = 14$.

1. Problem: Expand and simplify $$3(x+4) + 6(4 - 3x)$$ Step 1: Distribute terms inside parentheses:

1. Hitunglah nilai eksponen dari setiap ekspresi: 1.a. Hitung $\left(\frac{1}{3}\right)^{-2}$:

1. The problem is to analyze the line given by the equation $3x - 4y = 12$ and verify its intercepts on the graph. 2. To find the x-intercept, set $y=0$ in the equation:

1. The problem is to expand and simplify the expression $A = (3x - 2)^2$. 2. Recall the formula for the square of a binomial: $ (a - b)^2 = a^2 - 2ab + b^2 $.

1. State the problem: Expand the expression $A = (3x - 2)^2$. 2. Recall the formula for square of a binomial: $$(a - b)^2 = a^2 - 2ab + b^2$$

1. The problem is to simplify the expression or term "simplifi" which seems to be incomplete or might be a typo. 2. Assuming you meant "simplify" followed by an expression, please

1. আপনি "oikik niyom" বা একটি নির্দিষ্ট নিয়ম সম্পর্কে জানতে চেয়েছেন, এবং সেই নিয়মটি ব্যবহার করে একটি সংখ্যা বড় করতে চান। 2. সংখ্যা বাড়ানোর সাধারণ নিয়ম হল ফাংশন বা নিয়মটি প্রথমে স্প

1. Stating the problem: We have 37 papers shared between two girls. One girl has 11 less papers than the other. We need to find how many papers each girl has. 2. Let the number of

**প্রশ্ন ১৮:** ১. ২ জন পুরুষ ৩ জন বালকের সমান কাজ করতে পারে।

1. We are given the function $$h(x) = -2 \cdot \ln\left(-3\sqrt{x} + 4\right) + 1.$$ We need to determine its domain and identify the inside and outside functions if $$h(x) = g(f(x

1. The problem is to graph the linear inequality $y \geq 3x + 3$ on the coordinate plane. 2. First, graph the boundary line given by the equation $y = 3x + 3$. This line has a slop

1. The problem involves solving a system of 3 linear equations with 3 variables using Cramer's rule. 2. Cramer's rule states that for a system:

1. **State the problem:** We are given a trapezium with dimensions based on $x$: the top side is $x - 4$, the bottom side is $x + 5$, and the height (left vertical side) is $2x$. 2

1. The problem is to analyze the function given by $$x = \frac{1 + t^2}{1 - t^2}$$. 2. This is a rational function where the numerator is $$1 + t^2$$ and the denominator is $$1 - t

1. **State the problem:** You have points A, B, C, and D on a line segment.

1. The problem states to simplify $4.) (10ab)^{3/8}$ and expresses a root form. 2. The given expression is $(10ab)^{3/8}$.

1. **Menentukan mana yang merupakan fungsi persamaan kuadrat** Syarat fungsi persamaan kuadrat adalah memiliki suku tertinggi dengan pangkat 2, yaitu bentuk umum $$ax^2 + bx + c =

1. **State the problem:** Expand and simplify the expression $$(3x-1)(x+7)$$. 2. **Apply the distributive property (FOIL method):** Multiply each term in the first parentheses by e