🧮 algebra

1. **State the problem:** Complete the missing values in the ratio table: | Left | Right |

1. Identify the problem: We need to complete the ratio table by finding the missing values in the right column, given the left column values and existing right column values. 2. An

1. **State the problem:** We are given a ratio table with paired values where the ratios are consistent. The table is:

1. We are given a ratio table with two columns where the left column values correspond to the right column values. 2. The table provided is:

1. Stating the problem: We need to complete the missing values in the ratio table where each pair forms equivalent ratios. 2. First, identify ratio pairs given:

1. The problem states that a polynomial $p$ is graphed with zeros at approximately $x = -3.5$, $x = -1$, and $x = 1$. 2. We note that the zero at $x = -3.5$ corresponds to the fact

1. The problem asks us to evaluate the expression $-\frac{1}{4} - \left(-\frac{3}{7}\right)$.\n\n2. Start by recognizing that subtracting a negative number is the same as adding it

1. Problem: Determine which polynomial equation matches the graph of polynomial $p$ given the described x-intercepts and graph behavior. 2. The graph has x-intercepts at $x=-1.5$,

1. The problem is to identify which polynomial equation matches the graph of $p(x)$ based on its roots and behavior around those roots. 2. The graph passes through $(-1.5, 0)$, $(1

1. The problem is to make $x$ the subject in the equation $y = x^2$. 2. To isolate $x$, we need to undo the square by taking the square root of both sides of the equation.

1. **Stating the problem:** A polynomial $p$ is graphed with zeros at approximately $-3.5$, $0$, and $3$. The graph behavior indicates the multiplicity of each zero by how the curv

1. State the problem: Solve for $x$ in the equation $92x=\frac{1}{2}(27x)$. 2. Distribute the right side: $92x = \frac{1}{2} \times 27x = \frac{27x}{2}$.

1. Stating the problem: We are given the equation $27x = 9y$ and need to find the value of $\frac{x}{y}$. 2. Start by dividing both sides of the equation by $9y$ to isolate $\frac{

1. The problem is to solve the equation or expression given, but no equation was provided by the user. 2. To solve a math problem, please provide the specific equation or expressio

1. Stating the problem: You want to know formulas and steps to change the subject of a formula involving square roots and squares. 2. When the formula involves a square root, e.g.,

1. The expression given is $$\frac{\log(m)\sqrt[p]{3-n}}{mn^{2}}$$. 2. We note that $$\sqrt[p]{3-n}$$ means the $$p$$-th root of $$3-n$$, which can be written as $$(3-n)^{\frac{1}{

1. **State the problem:** We need to find the value of $y^2$ given the equation $$9x^2 - 9y^2 = 4.$$\n\n2. **Isolate the term involving $y^2$:** Subtract $9x^2$ from both sides to

1. **Stating the problem:** Solve the given algebraic expressions, simplify fractions, evaluate equations, and solve for variables. 2. **Simplify fractions:**

1. **Rational numbers equalities and simplifications:** - Given equalities like $\frac{-8}{14} = \frac{-4}{3.5} = \frac{16}{-2.1}$,... we check if the fractions simplify to the sam

1. The problem is to understand and work with the equation $x + y = 5$. 2. This is a linear equation representing a line in the coordinate plane.

1. State the problem: Find the gradient (slope) of the line passing through points A(1,3) and B(-2,5). 2. Use the slope formula for two points $A(x_1,y_1)$ and $B(x_2,y_2)$: