🧮 algebra

1. Masalah ini tidak spesifik, jadi saya akan bantu dengan contoh asas algebra. 2. Contoh: Selesaikan persamaan linear $2x + 3 = 7$.

1. The problem is to understand the relationship or pattern among the numbers 36.5, 125, 549, and 1000. 2. First, observe each number and consider common mathematical properties su

1. **State the problem:** Solve for $x$ in the equation $$\sqrt{\frac{(x+2)!}{x!}} = \sqrt{3!} \times 7.$$\n\n2. **Recall factorial properties:** The factorial function $n!$ is the

1. **State the problem:** Solve the equation $$(x-1)(x+1) = 4x - 5$$ for $x$. 2. **Use the distributive property (FOIL) on the left side:**

1. **Stating the problem:** We need to solve the equation $\frac{2x+4}{x-1} = 3$. 2. **Formula and rules:** To solve rational equations like this, multiply both sides by the denomi

1. **State the problem:** We need to find the equation of a line given its x-intercept is 2 and y-intercept is 2. 2. **Recall the intercept form of a line:** The equation of a line

1. **State the problem:** Expand the expression $ (5x - 2y)(3x + 4y) $. 2. **Formula used:** Use the distributive property (FOIL method) for binomials: $ (a + b)(c + d) = ac + ad +

1. **State the problem:** We need to find the equation of a line given its x-intercept and y-intercept, then graph it. 2. **Recall the intercept form of a line:** The equation of a

1. **State the problem:** Simplify the expression $$\left(\frac{10}{0.77x}\right)^2$$. 2. **Recall the rule:** When you have a fraction raised to a power, you raise both numerator

1. **State the problem:** Simplify the expression $ (x+y)(x-5y) $. 2. **Formula used:** Use the distributive property (also called FOIL for binomials):

1. **State the problem:** Solve the inequality $$\frac{(x - 1)(x + 6)}{x + 2} > 0$$ and express the solution in interval notation. 2. **Identify critical points:** The numerator is

1. **State the problem:** Simplify the expression $$(0.66x) \times \left(\frac{10}{0.77x}\right)$$. 2. **Write the expression clearly:**

1. **State the problem:** Simplify the expression $ (x+4y)(x-5y) $. 2. **Formula used:** Use the distributive property (FOIL method) for multiplying two binomials:

1. **State the problem:** Simplify the expression $-19 + 15 - 4 + 2 - 12 + 6$. 2. **Add and subtract step-by-step:**

1. **State the problem:** Solve the system of linear equations: $$3x + 2y = 49$$

1. The problem is to simplify the expression involving multiplication of fractions and a variable: $$x \times \frac{3}{4} \times \frac{2}{3} \times \frac{3}{7} \times \frac{1}{5}$$

1. **State the problem:** Solve the system of linear equations: $$5p - 5q = 35$$

1. **Problem:** Find the domain and range of the function $f(x) = \sqrt{\frac{x - 1}{x^2 - 4}}$. 2. **Step 1: State the domain conditions.**

1. **State the problem:** Solve the system of linear equations: $$5p - 5q = 35$$

1. **State the problem:** Simplify the expression $$(5x+3)(2x-7) - (3x-2)(4x+1)$$. 2. **Use the distributive property (FOIL) to expand each product:**

1. **Problem:** Given $(f \circ g)(x) = 2x + 5$ and $g(x) = \frac{x}{x+1}$, find $f(x)$. 2. **Recall:** The composition $(f \circ g)(x) = f(g(x))$. So, $f(g(x)) = 2x + 5$.