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🧮 algebra

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Account Balance
1. **Stating the problem:** Roxanne deposits 300 initially and adds 20 each week. We want to find which table correctly shows her account balance over the first 4 weeks. 2. **Formu
Bananas Bunches
1. **State the problem:** We need to find the equation that relates the number of bananas $y$ to the number of bunches $x$ given that the number of bananas is equal to five times t
Bananas Bunches
1. **Problem Statement:** Deborah sells bananas in bunches of 5. We need to determine the correct relationship between the number of bananas and the number of bunches. 2. **Underst
Evaluate Expression
1. **State the problem:** We need to evaluate the expression $x - 21$ for each given value of $x$: 27, 28, 29, 30, and 31. 2. **Formula used:** The expression is a simple subtracti
Fraction To Decimal
1. The problem is to convert the fraction $\frac{39}{500}$ into a decimal. 2. To convert a fraction to a decimal, divide the numerator by the denominator.
Linear Equations
1. Solve for $x$: $$2x + 5 = 15$$ 2. Solve for $x$: $$3x - 4 = 11$$
Quadratic Equations
1. We are given six quadratic equations to solve: 1) $3x^2 + 2x - 1 = 0$
Grafik Elips
1. Diberikan persamaan elips $$\frac{1}{2}X^2 + \frac{1}{4}Y^2 = 8$$. 2. Langkah pertama adalah mengubah persamaan ke bentuk standar elips yaitu $$\frac{X^2}{a^2} + \frac{Y^2}{b^2}
Solve Fraction Equation
1. **State the problem:** Solve the equation $$\frac{x + 3}{2} + \frac{3x - 8}{4} = 4$$ for $x$ and express the answer as a decimal. 2. **Identify the formula and rules:** To solve
Zhiropisny Bridge
1. **State the problem:** We have a curve representing the arch of the Zhiropisny bridge given by the function $f(x) = px^2 + \frac{1}{4}x + 91$. The length of the base $AB$ is 144
Sqrt 125
1. The problem is to find the square root of 125. 2. The square root of a number $x$ is a value $y$ such that $y^2 = x$.
Rate Change Table
1. **State the problem:** We are given a table of values for $x$ and $y$ and need to find the rate of change represented by this data. 2. **Recall the formula for rate of change:**
Rate Of Change
1. **State the problem:** We are given a table of values for $x$ and $y$ and need to find the rate of change represented by this data. 2. **Formula:** The rate of change is calcula
Rate Of Change
1. **State the problem:** We are given a table of values for $x$ and $y$ and need to find the rate of change represented by the data. 2. **Recall the formula for rate of change:**
Rate Change Table
1. **State the problem:** We are given a table of values for $x$ and $y$ and need to find the rate of change represented by the data. 2. **Recall the formula for rate of change:**
Rate Of Change
1. **State the problem:** We are given a table of values for $x$ and $y$ and need to find the rate of change represented by the data. 2. **Recall the formula for rate of change:**
Rational Exponents
1. **Stating the problem:** We need to convert expressions between exponential form with rational exponents and radical form.
Rational Exponents
1. **Problem Statement:** Translate the given expressions between exponential and radical forms. 2. **Key Formula:** The relationship between radicals and rational exponents is:
Quadratic Factorization
1. Factorize the quadratic expression $2x^2 + 11x + 12$. - Use the formula for factoring quadratics: $ax^2 + bx + c = (mx + n)(px + q)$ where $m \times p = a$ and $n \times q = c$
Linear Function Graph
1. The problem asks us to identify which graph corresponds to the function rule $y = -4 + 3x$. 2. The function is a linear equation in slope-intercept form $y = mx + b$, where $m$
Linear Function
1. The problem asks us to identify the graph of the function rule $$y = 4x + 5$$. 2. This is a linear function in slope-intercept form $$y = mx + b$$, where $$m$$ is the slope and