🧮 algebra

1. Jelaskan kenapa kita tidak bisa memperoleh bilangan yang merupakan hasil dari bentuk ini: a. $\frac{0}{0}$ adalah bentuk tak tentu karena pembilang dan penyebut sama-sama nol. I

1. Use the discriminant to determine the number of solutions for each quadratic. The discriminant formula is $$\Delta = b^2 - 4ac$$ where the quadratic is $$ax^2 + bx + c = 0$$.

1. **State the problem:** We are given the nth term of a sequence as $T(n) = 3n + 35$. 2. **Given:** A term in the sequence has a value of 347. We need to find the position $n$ of

1. The problem states that the function machine takes an input $m$ and multiplies it by 43 to produce the output. 2. To find the output, we apply the function: $$\text{output} = m

1. The problem states that the $n^{th}$ term of the sequence is given by $$T(n) = 4n^2$$ and asks for the first three terms of the sequence. 2. To find the first term, substitute $

1. The problem shows a function machine where the input is 10, it is first multiplied by 6, then an unknown operation (represented by ?) is applied, and the output is 63. 2. We sta

1. The problem states that the nth term of the sequence is given by the formula $$T(n) = n^2 + 2$$. 2. We need to find the 5th term, which means substituting $n = 5$ into the formu

1. **State the problem:** Simplify and evaluate the expression $$\left[ \left( \frac{\sqrt{3}}{2} \right)^2 + 2 + 1 \right]^{2021}$$. 2. **Simplify inside the brackets:** Calculate

1. **State the problem:** We have two inputs, 4 and B, each multiplied by 2 to produce outputs A and 14 respectively. 2. **Write the equations:**

1. The problem asks to find the perimeter $P$ of a trapezoid in terms of $x$. 2. The trapezoid has four sides: the vertical side $3x$, the top side $2 + x$, the bottom side $2 + 5x

1. The problem describes a function machine where the input is labeled $d$ and the operation inside the machine is adding 72 to the input. 2. This means the function can be written

1. The problem shows a transformation from inputs 20, 17, and 9 to outputs 13, A, and B respectively. 2. We need to find the values of A and B based on the pattern or rule applied

1. The problem is to analyze the linear function $y = 5X - 8$. 2. This is a linear equation where the slope is 5 and the y-intercept is -8.

1. The problem presents multiple linear equations in two variables $x$ and $y$. 2. Each equation is either in slope-intercept form $y = mx + b$ or can be rearranged into that form.

1. **State the problem:** We have a rectangle with dimensions $2x - 12$ and $3x + 9$, and its area is $60$ cm$^2$. We need to find the actual dimensions of the rectangle. 2. **Writ

1. **Problem statement:** Determine the type of angle (acute or obtuse) formed by the part of the graph above the x-axis with the positive x-axis direction, and whether the functio

1. Problema 21: Calculați determinantul \(D(x,y) = \begin{vmatrix} 1 & 1 & 1 \\ x & y & 2 \\ x^2+1 & y^2+1 & 5 \end{vmatrix}\). 2. a) Calculăm \(D(1,-1)\):

1. The problem asks to determine the domain on which the given function is decreasing. 2. From the description, the function is a parabola opening upwards with vertex at approximat

1. The problem asks us to find all values of $x$ for which $f(x) > 0$ given the graph of $y = f(x)$. 2. From the graph description, the parabola crosses the x-axis at $x = 1$ and $

1. **State the problem:** Nadia converted some pounds at either Shop A or Shop B and received €64.96. We need to find the smallest amount in pounds she could have converted. 2. **I

1. **State the problem:** A student answered 120 True/False questions. Each correct answer gives 1 mark, each wrong answer deducts 1/4 mark. The student scored 95 marks. All guesse