🧮 algebra

1. The problem asks which form of the quadratic function $h$ displays the zeros of the function. 2. The zeros of a quadratic function are the values of $x$ for which $h(x) = 0$.

1. **Problem statement:** Ardizha starts with a monthly salary of 6,000,000 in January 2025. Each year, his salary increases by 2% of the initial salary. We need to find his monthl

1. **State the problem:** We need to analyze the quadratic function $f(x) = x^2 - 6x + 5$ by finding its x-intercepts, y-intercept, vertex, and axis of symmetry. 2. **Formula and r

1. **Problem Statement:** Given the functions $f(x) = x^3 - x^2 + ax + b$ and $g(x) = x^2 - 2x - 8$, if $g(x)$ is a factor of $f(x)$, prove that $2a - 3b = 4$. 2. **Understanding t

1. **State the problem:** Solve for $i$ in the equation $5i = 1 - (1+i)^{-10}$. 2. **Rewrite the equation:**

1. Masalah yang dihadapi adalah pembagian angka 1957,00 dengan 0,9144 di Excel tidak berhasil. 2. Dalam Excel, tanda koma (,) biasanya digunakan sebagai pemisah ribuan atau desimal

1. **State the problem:** We need to add the fractions $\frac{5}{2}$ and $\frac{39}{4}$. 2. **Formula and rules:** To add fractions, they must have the same denominator. If not, fi

1. **State the problem:** Find the slope of the line given by the equation $x = -3$. 2. **Understand the line:** The equation $x = -3$ represents a vertical line where all points h

1. **Problem statement:** A rectangle has a perimeter of 74. The length ($l$) and width ($w$) are integers. We need to find the maximum possible area of this rectangle. 2. **Formul

1. The problem asks to find the percentage of questions Ruby answered correctly on her English test. 2. The formula to find percentage is: $$\text{Percentage} = \left(\frac{\text{N

1. **State the problem:** Separate the expression $$\frac{(-2+3i)^2}{1+i}$$ into its real and imaginary parts. 2. **Recall formulas and rules:**

1. **Problem:** Simplify the expression $$\frac{(mm^2)^5 - 2}{(3 \times 5^2)} \times \frac{(atb)^3 (t+d)^3}{(atb)(t+d)^3}$$ 2. **Step 1: Simplify each part separately.**

1. The problem asks: What kind of polynomial functions are represented by the given expressions and graph description? 2. Polynomial functions are algebraic expressions consisting

1. **Problem statement:** A person buys oranges at the rate of 6 per 10 units of money and sells them at the rate of 6 per 8 units of money. We need to find the profit or loss perc

1. The problem is to solve a system of linear equations without using vectors, suitable for grade 10 level. 2. We use substitution or elimination methods to solve such systems.

1. **State the problem:** Find another point on the line with slope $\frac{7}{5}$ passing through the point $(-3,-2)$. 2. **Recall the slope formula:** The slope $m$ between two po

1. **State the problem:** Solve the inequality $2x + y < 2$ for $y$. 2. **Rewrite the inequality:** To express $y$ in terms of $x$, subtract $2x$ from both sides:

1. The problem is to graph the system of inequalities and shade the correct regions for each inequality. 2. A system of inequalities consists of two or more inequalities with the s

1. The problem is to analyze the function $$f(x) = -\frac{1}{4}(x + 2)^2 - 6$$ and describe the transformations applied to the parent function $$y = x^2$$. 2. The parent function i

1. **State the problem:** Solve the inequality $$7 + 3k \geq 2k - 5$$ and graph the solution set on a number line. 2. **Write down the inequality:** $$7 + 3k \geq 2k - 5$$

1. **State the problem:** We want to find the maximum profit and the number of units $x$ that must be produced and sold to achieve this maximum profit. 2. **Given functions:**