🧮 algebra

1. The problem states that $b \times 10^n$ is the number 7200 written in standard form. 2. First, write 7200 in standard form: $7200 = 7.2 \times 10^3$.

1. **State the problem:** We have two functions $f(x) = 4^x$ and $g(x) = 4^{\frac{1}{2}x}$ with a table of values for $x$ from $-2$ to $2$. Some values of $g(x)$ are missing and la

1. The problem is to find the x-intercept and y-intercept of a function or equation. 2. The x-intercept is the point where the graph crosses the x-axis, so the y-value is 0. To fin

1. **Problem Statement:** Find the x-intercept and y-intercept of the line passing through points (-3,0) and (0,3). 2. **Formula and Rules:**

1. **State the problem:** Find the domain and analyze the rational function $$y = \frac{x^3 - x^2}{x^2 - 5x + 6}$$. 2. **Factor numerator and denominator:**

1. **State the problem:** Simplify the expression $$\frac{2x^2 - 8}{4x}$$. 2. **Recall the formula and rules:** To simplify a rational expression, factor the numerator and denomina

1. **State the problem:** We need to find 5 positive whole numbers in ascending order such that: - The median is 9

1. The problem asks how to translate the function $f(x) = 6^x$ to $g(x) = 6^{x - 5} - 7$. 2. Recall that for exponential functions, $f(x - h)$ shifts the graph horizontally by $h$

1. The problem asks to find the value of $h$ in the function $g(x) = 3^{x - h} + k$ given that $g(x)$ is a horizontal and vertical translation of $f(x) = 3^x$. 2. The function $g(x

1. The problem asks for the domain, range, and asymptote of the function $$h(x) = 2^{x+4}$$. 2. Recall that for an exponential function of the form $$f(x) = a^{x+c}$$ where $$a > 0

1. The problem asks to describe the translation of the function $f(x) = \left(\frac{1}{2}\right)^x$ to the function $g(x)$ based on the graph. 2. The original function is $f(x) = \

1. The problem involves understanding the transformations of the exponential function $f(x) = \left(\frac{1}{2}\right)^x$ and identifying the correct form of $g(x)$ after a transla

1. The problem is to solve the equation or expression implied by "do it". Since no specific problem is given, I will assume you want me to solve a simple algebraic example. 2. Let'

1. The problem is to understand and graph the function $g(x) = 2^x - 1 + 3$. 2. First, simplify the function by combining like terms:

1. The problem asks which translation steps change the function $f(x) = 3^x$ to $g(x) = 3^{x+1} + 4$. 2. Recall that for exponential functions, adding inside the exponent shifts th

1. The problem asks how to translate the function $f(x) = 3^x$ to $g(x) = 3^{x+1} + 4$. 2. Recall that adding inside the exponent, like $x+1$, shifts the graph horizontally. Specif

1. The problem asks for the domain of the function $f(x) = 3^{x-2}$. 2. The domain of an exponential function $a^x$ where $a > 0$ and $a \neq 1$ is all real numbers because you can

1. The problem asks for the domain of the function $f(x) = 3^{x-2}$. 2. The domain of a function is the set of all possible input values ($x$) for which the function is defined.

1. **State the problem:** James has 60 pieces of fruit. \n\n1/12 of the fruit are mangos, and the rest are avocados. Mangos weigh 130g each, and avocados weigh 200g each. We need t

1. **State the problem:** We need to find how many glasses of milk can be filled from 1 7/8 jugs of milk if one glass holds 3/8 of a jug. 2. **Write the known quantities:**

1. The problem asks for the domain, range, and asymptote of the function $$h(x) = (0.5)^x - 9$$. 2. Recall that for an exponential function $$f(x) = a^x$$ where $$a > 0$$ and $$a \