🧮 algebra

1. The problem involves graphing the functions $y=4^x$ and $y=5^x$ on the same coordinate plane. 2. The general form of an exponential function is $y=a^x$ where $a>0$ and $a \neq 1

1. The problem is to find the value of the function or expression "f" again, but since no specific function or expression "f" was provided, we need more information to proceed. 2.

1. The problem is to solve the equations given. Since no specific equations are provided, I will demonstrate how to solve a general linear equation as an example. 2. Consider the e

1. **Problem:** Factor the trinomial $3x^2 - 5x - 12$ completely. 2. **Formula and Rules:** To factor a quadratic trinomial of the form $ax^2 + bx + c$ where $a \neq 1$, we use the

1. The problem is to solve the equations given. However, no specific equations were provided in the message. 2. To solve an equation, we typically isolate the variable on one side

1. **Problem:** Factor the quadratic trinomial $3x^2 - 5x - 12$ completely. 2. **Formula and Rules:** To factor a quadratic trinomial of the form $ax^2 + bx + c$ where $a \neq 1$,

1. The problem is to understand why the function is odd and not even. 2. Recall the definitions:

1. **State the problem:** Solve the equation $$y^2 + 2y - 21 = 0$$ for $y$. 2. **Formula and rules:** This is a quadratic equation of the form $$ay^2 + by + c = 0$$ where $a=1$, $b

1. **State the problem:** We are given two odd functions $f$ and $g$ with values at positive $x$ given in a table. We need to find the value of the composition $(f \circ g)(-1)$, w

1. The problem asks for the turning point of the quadratic function $f(x) = x^2 - 3x + 4$ after three transformations: reflection in the x-axis, horizontal shift 2 units right, and

1. **State the problem:** Simplify the expression $$\frac{n \times n + n}{n} = 10$$ and find the value of $n$. 2. **Write the formula and rules:** The expression is a fraction wher

1. **State the problem:** Find the value of the expression $$8 + 6 \div 2(3)^2 - 5$$. 2. **Recall the order of operations (PEMDAS/BODMAS):**

1. **State the problem:** We need to write an equation for the cost $y$ to rent a kayak, which is proportional to the number of hours $x$ rented. 2. **Understand the proportionalit

1. **Problem Statement:** Find the domain, even or odd degree, leading coefficient, number of turning points, least possible degree, number of real zeroes, y-intercept, end behavio

1. **State the problem:** Factor the quadratic expression $6x^2 - 7x - 3$. 2. **Recall the factoring method:** For a quadratic $ax^2 + bx + c$, we look for two numbers that multipl

1. **State the problem:** Solve the system of linear equations using Gaussian elimination: $$\begin{cases} 2x_1 + 4x_2 + 5x_3 = 7 \\ x_1 + 3x_2 + x_3 = 10 \\ 3x_1 + 5x_2 + 3x_3 = 2

1. **State the problem:** Simplify or understand the expression $$(x^3 + 2x)^{37}$$. 2. **Formula and rules:** This is a binomial expression raised to a power. The binomial theorem

1. **State the problem:** Factor the cubic polynomial $$x^3 - 6x^2 - 7x$$. 2. **Recall the factoring formula and rules:**

1. Pernyataan masalah: Diberikan relasi rekursif non homogen $$a_{n-1} = 2a_n + 4^n$$ dengan syarat awal $$a_1 = 3$$, dan diminta menyelesaikannya menggunakan fungsi pembangkit. 2.

1. The problem is to simplify or evaluate the expression $3x - 1$. 2. This is a linear algebraic expression where $3x$ means 3 times the variable $x$, and then subtract 1.

1. **State the problem:** Simplify the expression $3x - 1$ or evaluate it for a given value of $x$. 2. **Understand the expression:** The expression $3x - 1$ is a linear algebraic