🧮 algebra

1. **State the problem:** Preston earns 33.00 for babysitting for 2.4 hours. We want to find how much he earns per hour. 2. **Write the equation:** Let $x$ be the amount Preston ea

1. **State the problem:** Solve for $x$ in the equation $$x - \frac{4}{5} = \frac{1}{2}$$

1. **State the problem:** Solve the equation for $y$ given by $$y - 2 = -6$$

1. **State the problem:** We are given the equation $2x - (6x - 8) = 32$ and asked to find the value of $8x + 4$. 2. **Rewrite the equation and simplify:**

1. The problem is to simplify the expression given by the user, but since no specific expression was provided, I will explain the general process of simplification. 2. Simplificati

1. **State the problem:** We are given the points $(-2, 3)$, $(3, -2)$, $(1, 3)$, and $(0, -2)$ and asked to determine if these points represent a function. 2. **Recall the definit

1. **State the problem:** Simplify the radical expression $$\sqrt{72}$$. 2. **Recall the formula and rules:** To simplify a square root, find the prime factorization of the number

1. **State the problem:** Simplify the radical expression $$\sqrt{160}$$. 2. **Recall the formula and rules:** To simplify a square root, factor the number inside the radical into

1. **Problem Statement:** Find the inverse of each function given. 2. **Formula and Rules:** To find the inverse function $f^{-1}(x)$, swap $x$ and $y$ in the equation $y=f(x)$ and

1. **State the problem:** We need to identify and compare the graph of the function $$n(x) = \frac{1}{3}x^2 - 5$$ with the graph of $$f(x) = x^2$$. 2. **Recall the base function:**

1. **State the problem:** Find the inverse function of $f(x) = \frac{3}{4}x + 2$. 2. **Recall the formula:** To find the inverse, swap $x$ and $y$ and solve for $y$. If $y = f(x)$,

1. **State the problem:** Find the inverse function of $f(x) = 3x + 1$. 2. **Formula and rules:** To find the inverse function $f^{-1}(x)$, we swap $x$ and $y$ in the equation and

1. **State the problem:** We have the list of numbers: 5.25, | -6/5 |, -4 4/5, -1.2. We want to arrange them in descending order (from largest to smallest). 2. **Convert all terms

1. **State the problem:** We are given the list of numbers: $5.25$, $| - \frac{6}{5} |$, $-4 \frac{4}{5}$, and $-1.2$. We need to determine which two terms are arranged correctly i

1. **State the problem:** We are given the line equation $x + 4y = 8$ and need to find the slopes of lines perpendicular and parallel to it. 2. **Rewrite the line in slope-intercep

1. **State the problem:** We need to solve for $a$ in a factored form given $y=5$, $s=-2$, and $t=4$. 2. **Assume the factored form:** Typically, a factored form involving $a$, $s$

1. **State the problem:** Given values $s = -2$, $t = 4$, and $y = 5$, we need to understand what to do with these variables. Since no specific operation or equation is provided, l

1. **State the problem:** Solve for $a$ in the equation $$y = a(x - s)(x - t)$$ given $s = -5$, $t = -2$, and $y = -4$. 2. **Write the formula with given values:** Substitute $s$ a

1. The problem asks which points lie on the graph of $$y = f(x) + 4$$, where $$f(x)$$ is a parabola with vertex at $$(-4,1)$$. 2. The graph $$y = f(x) + 4$$ is the original parabol

1. **State the problem:** We need to determine which points lie on the graph of the transformed function $$y = f(x + 7) - 3$$ given points and the original function $$f(x)$$. 2. **

1. **Problem:** Write an equation in slope-intercept form given slope and y-intercept. Given: slope $m=\frac{3}{5}$, y-intercept $b=6$.