🧮 algebra

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:

1. Problem: 12% of 72 is what number? Step 1: Identify the missing value: The missing value is the percentage value of the base 72.

1. Problem 11 states: Given a one-to-one function mapping volcano names to ice cream flavors, find the domain and range of the inverse function. 2. The original function's domain i

1. **State the problem:** We have a cellphone originally priced at ₱3000, now sold at ₱1800. We want to find the percent of change and specify if it is an increase or a decrease.

1. **Graph the transformed equation**: Given the function $$f(x) = -4 \left( \frac{1}{2} (x + 1) \right)^2 + 5$$.

1. The problem is to find the percent of increase when given the increase amount ₱30 relative to the original amount ₱. 2. The formula for percent of increase is $\text{Percent Inc

1. **State the problem:** Solve the inequality $$3^x < 9^{x - 2}$$. 2. **Express both sides with the same base:** Since $$9 = 3^2$$, rewrite the right side as $$9^{x-2} = (3^2)^{x-