🧮 algebra

1. The problem is to verify if the values $s=1$ and $t=0$ are correct for a given model or equation. 2. To check this, we need the original equation or system where $s$ and $t$ are

1. Find the product in simplest radical form: $\sqrt{66} \cdot \sqrt{18}$. We use the property $\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$.

1. **State the problem:** Find the intersection point of the two lines given by the equations: $$y = -3x + 15$$

1. **State the problem:** Solve the system of equations: $$-2x + 7y = 4$$

1. **State the problem:** Find the product in simplest radical form for $\sqrt{88} \cdot \sqrt{24}$. 2. **Use the property of square roots:** $\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cd

1. The problem asks to solve for $s$ in the equation $138 + s = 195$. 2. The formula used is to isolate $s$ by subtracting 138 from both sides: $$s = 195 - 138$$

1. Problem: Find the product in simplest radical form for $\sqrt{18} \cdot \sqrt{12}$. 2. Use the property of radicals: $\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$.

1. The problem asks to write the algebraic equation for the statement "Alive number 2" in algebra format. 2. Since the user provided an example equation: $$138 + s = 195$$ and solv

1. **State the problem:** Simplify the expression $-(3i - 4) - (-8 - 6i)$ and write the answer in the form $a + bi$. 2. **Apply the distributive property:** Remove the parentheses

1. **Find the Lowest Common Multiple (LCM) of 44 and 66.** 2. The LCM of two numbers is the smallest number that is a multiple of both.

1. **State the problem:** Simplify the expression $-(3i - 4) - (-8 - 6i)$ and write the answer in the form $a + bi$. 2. **Apply the distributive property:** Remove the parentheses

1. The problem is to find a number between 18 and 19. 2. We know that any number $x$ such that $18 < x < 19$ satisfies this condition.

1. **State the problem:** We need to graph the system of linear inequalities: $$y < 3x + 2$$

1. **State the problem:** Simplify the expression $$\frac{3}{7 - \sqrt{2}}$$. 2. **Formula and rule:** To simplify a fraction with a radical in the denominator, multiply numerator

1. **Problem Statement:** We are given the values of an investment over 4 years: $$f(1) = 10970.46, \quad f(2) = 12962.46, \quad f(3) = 14964.46, \quad f(4) = 16962.46$$

1. **State the problem:** We are given a table of values representing the amount of money in a savings account over time and need to determine if the function is linear or exponent

1. **State the problem:** Solve the equation $2x - 1 = 10 + 2x - 8$ for $x$. 2. **Write the equation clearly:**

1. **State the problem:** We have the function $v(t) = 19900(0.84)^t$ which models the value of a car over time $t$ in years. 2. **Find the initial value:** The initial value is th

1. **State the problem:** We are given a parabola centered at the origin with vertex at $(0,5)$, opening downward, and x-intercepts approximately at $(-2.6,0)$ and $(2.6,0)$. We ne

1. **State the problem:** We are given the exponential function $$P(t) = 440 \times (1.29)^t$$ where $P(t)$ is the population size at time $t$ (in years).

1. **State the problem:** Solve the equation $4 \cdot 2x - 1 = 10 + 2x - 8$ for $x$. 2. **Rewrite the equation:** The equation is $4 \times 2x - 1 = 10 + 2x - 8$.