🧮 algebra

1. Masalah: Seorang peternak memiliki pakan untuk 30 ekor sapi yang cukup untuk 20 hari. Jika peternak menjual 5 ekor sapi, berapa lama pakan tersebut akan habis? 2. Rumus yang dig

1. **State the problem:** Evaluate the expression $-3(-11+2\times4)^2$. 2. **Apply order of operations:** First, calculate inside the parentheses and perform multiplication before

1. **State the problem:** Find the coordinates of points A and B where the curve $y = \sqrt{3x - 2}$ intersects the line $y = \frac{1}{2}x + 1$. 2. **Set the equations equal to fin

1. The problem is to understand when a graph represents a relation that is also a function. 2. The key rule is the Vertical Line Test: A graph represents a function if and only if

1. **State the problem:** Evaluate the expression $a + \frac{a b^2}{c}$ for $a=3$, $b=4$, and $c=6$. 2. **Write the formula:** The expression is given by

1. El problema es encontrar el límite $$\lim_{x \to 3} \frac{x^2 - 9}{x - 3}$$. 2. La fórmula para límites que resultan en una indeterminación $$\frac{0}{0}$$ es factorizar el nume

1. **State the problem:** Solve the equation $\frac{4}{3} = \frac{6}{4.5}$ and check if it is true. 2. **Recall the rule:** Two fractions $\frac{a}{b}$ and $\frac{c}{d}$ are equal

1. **Stating the problem:** We want to multiply the scalar $\sqrt{x}$ by the matrix $\begin{bmatrix}a & b \\ c & d\end{bmatrix}$.

1. **State the problem:** Solve the equation $$\frac{9}{4}y - 12 = \frac{1}{4}y - 4$$ for $y$. 2. **Write down the equation:** $$\frac{9}{4}y - 12 = \frac{1}{4}y - 4$$

1. **State the problem:** Solve the equation $-7 + 4m + 10 = 15 - 2m$ for $m$. 2. **Combine like terms on the left side:** $-7 + 10 = 3$, so the equation becomes $3 + 4m = 15 - 2m$

1. **State the problem:** Find a formula to quickly determine the exponent $n$ such that $2^n = x$ for a given number $x$. 2. **Use logarithms:** The key formula is based on logari

1. **State the problem:** Find an easy way to determine that $1024 = 2^{10}$ without memorizing it. 2. **Recall the concept of powers:** To find $2^{10}$, you multiply 2 by itself

1. **State the problem:** Find the values of the logarithms: a) $\log_2 1024$

1. **Problem Statement:** Complete the chart for each polynomial function by simplifying, finding the degree, and the leading coefficient.

1. **State the problem:** We need to evaluate $f(g(-3))$, which means first find $g(-3)$ and then substitute that result into $f(x)$. 2. **Analyze $g(x)$:** The graph of $g(x)$ is

1. The problem is to solve the expression $\frac{3}{8} \times \frac{2}{5}$.\n\n2. The formula for multiplying fractions is:\n$$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b

1. **State the problem:** Calculate $\frac{3}{4} - \frac{1}{2}$ and simplify the answer if necessary. 2. **Formula and rules:** To subtract fractions, they must have a common denom

1. Masalah yang diberikan adalah menyederhanakan hasil operasi dari $\left(\sqrt{3} - 5\right) \left(5 + \sqrt{3}\right)$.\n\n2. Gunakan rumus perkalian dua binomial: $\left(a - b\

1. **Stating the problem:** Given $\log_3 5 = a$ and $\log_5 7 = b$, find the values of $\log_{15} 49$ and $\log_{49} \sqrt{15}$.\n\n2. **Recall the change of base formula:** For a

1. The problem asks to identify the inequality represented by the graph. 2. The graph shows a dashed line with a negative slope intersecting the y-axis near 3 and the x-axis near 3

1. Let's start by stating the problem: What are rational functions? 2. A rational function is a function that can be expressed as the ratio of two polynomials. In other words, it h