🧮 algebra

1. **Write each number in scientific notation:** - 2300 = $2.3 \times 10^3$

1. The problem is to simplify the expression $5.173 \times 10 x^4$. 2. The expression involves multiplication of a decimal, a constant 10, and a variable term $x^4$.

1. **State the problem:** We need to graph the inequality $5x + 2y < -16$ on the coordinate plane. 2. **Rewrite the inequality in slope-intercept form:** To graph, solve for $y$:

1. The problem is to simplify the expression $5.173x10x^2$. 2. The expression involves multiplication of constants and variables: $5.173$, $10$, and $x^2$.

1. **Problem Statement:** Determine the range of the given graph based on its description. 2. **Understanding the Range:** The range of a function is the set of all possible output

1. **Problem Statement:** Determine the range of the given graph, which shows a curve starting at an open circle near $(-8,7)$ and ending at a filled circle near $(9,-4)$. 2. **Und

1. **Problem Statement:** Determine the domain of the graph described, which starts at $x=-12$ with a closed point and ends at $x=2$ with an open circle. 2. **Understanding Domain:

1. **State the problem:** Simplify the expression $$\frac{24f^2}{3f^7(11h+7)}$$ as a fraction. 2. **Write the expression clearly:** $$\frac{24f^2}{3f^7(11h+7)}$$

1. **Problem Statement:** Determine the correct description of the line given by the equation $y = -\frac{1}{2}x$ on the coordinate plane. 2. **Formula and Explanation:** The equat

1. نبدأ بحل المعادلات الخطية واحدة تلو الأخرى. 2. المعادلة ١) س - ٦ س = 0

1. **State the problem:** We are given the linear function $y = -\frac{1}{2}x$ and want to understand its properties and graph. 2. **Formula and rules:** This is a linear function

1. **State the problem:** Simplify the expression $$(x^5 z)^{\frac{1}{10}} \times x^{\frac{1}{2}} z^{\frac{1}{5}}.$$\n\n2. **Recall the exponent rules:**\n- Power of a power: $$(a^

1. **State the problem:** Solve the inequality $x - 3 < 6$. 2. **Formula and rules:** To solve inequalities, we isolate the variable on one side. Adding or subtracting the same num

1. **State the problem:** Find all integer values of $x$ such that $$-10 < x < -7$$. 2. **Understand the inequality:** The inequality means $x$ is greater than $-10$ and less than

1. **Stating the problem:** Simplify and analyze the expression $$\sqrt{\left(\frac{20.5}{10 - 5a}\right)^{-\frac{1}{8}}}$$ and determine the values of $a$ for which the expression

1. **State the problem:** Solve the equation $x \times 5 + 4 = 6$ for $x$. 2. **Write the equation:** The equation is $5x + 4 = 6$.

1. **State the problem:** Solve the inequality $5f - 4 > 38 - 2f$. 2. **Write down the inequality:**

1. **State the problem:** Solve the inequality $$7w \geq w + 48$$. 2. **Rewrite the inequality:** To isolate $w$, subtract $w$ from both sides:

1. **State the problem:** Factorise fully the expression $$2c^2 - 18d^2$$. 2. **Identify the common factor:** Both terms have a common factor of 2.

1. The problem involves converting the roots $x_1$ and $x_2$ of a quadratic equation or any other context where these variables represent values that need conversion. 2. To convert

1. The problem is to rewrite the equation $ax + by = c$ given that $y = \frac{1}{5}x - 4$. 2. We start by substituting the expression for $y$ into the original equation: