🧮 algebra

1. The problem asks for the percent increase in the price of a sack of rice from ₱2000 to ₱2200. 2. Use the percent change formula: $$\text{Percent Change} = \frac{\text{New Value}

1. Simplify $\sqrt[3]{448b^{3}h^{2}}$. - Factor $448 = 64 \times 7$.

1. The problem asks for the equation of a circle with center at the origin and radius $s$. 2. The general equation for a circle with center at the origin $(0,0)$ and radius $r$ is:

1. Stating the problem: We need to find the percent change in electric consumption from last month to this month. 2. The formula for percent change is:

1. The problem involves simplifying and performing operations on expressions involving square roots as given in a puzzle format. 2. Let's examine each expression step by step.

1. Vamos a factorizar una expresión algebraica, lo que significa descomponerla en factores más simples que al multiplicarse nos den la expresión original. 2. Por ejemplo, para fact

1. Stated problem: Solve the equation $$x^2 - \frac{4}{25} = 0$$. 2. Add \(\frac{4}{25}\) to both sides to isolate the quadratic term:

1. The problem asks for the values of $x$ where the function $y=\frac{5}{x-3}$ is undefined. 2. A function with a fraction is undefined where the denominator is zero.

1. Stating the problem: We need to find the percent change in the price of steak when it changes from 1954 to 2227.56. 2. Recall the formula for percent change: $$\text{Percent Cha

1. The problem is to find the range of the quadratic function $$y=2(x-3)^2-4$$. 2. Identify the vertex form of the quadratic: $$y=a(x-h)^2+k$$ where the vertex is at $$(h,k)$$.

1. **Sketch the graphs:** i. Given $y = x^2 + 4x + 5$.

1. The problem asks to find the domain of the function $$y = 2 (x - 3)^2 - 4$$. 2. The function is a quadratic in the form of $$y = a(x-h)^2 + k$$, where $$a=2$$, $$h=3$$, and $$k=

1. **Problem Statement**: Identify which of the given sets of ordered pairs represents a function. 2. **Definition of a Function**: A set of ordered pairs is a function if each inp

1. The problem asks for the percent of change in Stephen's weight after training. 2. To find the percent change, use the formula: $$\text{Percent change} = \frac{\text{Final weight

1. **State the problem:** Identify which of the given relations is not a function. 2. **Recall the definition of a function:** A function assigns exactly one output $y$ for each in

1. **State the problem:** We want to find the percent of change in Rj's daily allowance from last year to this year. 2. **Define the values:**

1. **State the problem:** The water level in Mosqueda reservoir decreases from 840 cubic meters to 798 cubic meters in one hour. We need to find the percent change in the amount of

1. The problem asks for the percent of change in water volume in Mosqueda reservoir after an hour. 2. First, identify the initial amount $V_i = 840$ cubic meters and the final amou

1. **Problem:** The water level in Mosqueda reservoir decreases from 840 cubic meters to 798 cubic meters. Find the percent of change. 2. **Step 1:** Identify the initial amount $I

1. Consider the water level change in Mosqueda reservoir. - Initial amount: $840$ cubic meters

1. We are asked to find the percent increase in Jean's pay when it goes from ₱50 per hour to ₱55 per hour. 2. First, calculate the increase in pay: