🧮 algebra

1. The problem states that the function $f(x) = \cos(x)$ is transformed by stretching it horizontally by a factor of 4 and shifting it 1 unit up. 2. The formula for horizontal stre

1. **Problem statement:** We analyze Kiran's distance from home over time based on the piecewise graph. 2. **Given:**

1. **State the problem:** Emily spent 8 on snacks and bought movie tickets for herself and a friend. Each ticket costs 12. She spent a total of 32. We need to find how many movie t

1. **State the problem:** We want to find the price of a 1.8 kg cheese block given that a 2.3 kg cheese block costs 394.75. 2. **Formula used:** Price is proportional to weight, so

1. **Stating the problem:** We have a 2.3 kg block of mozzarella cheese that costs 394.75. We want to find the cost of 500 g of the same cheese. 2. **Formula used:** To find the co

1. **Problem Statement:** We are given a step graph showing the cost in dollars to mail a letter from the US to Canada in 2018 as a function of the letter's weight in ounces.

1. **State the problem:** We have a piecewise function $g(x)$ defined on several intervals with some missing parts. We need to:

1. The problem asks whether it is always, sometimes, or never true that two different patterns can look the same for the first few terms but differ later. 2. Let's clarify what a "

1. **Enunciado do problema:** Determine o valor aproximado do grau da amplitude do ângulo formado pelos vetores \(\vec{u} = (2, -3)\) e \(\vec{v} = (1, 4)\). 2. **Fórmula usada:**

1. The question "how is it 1 tho?" suggests you want to understand why a certain value equals 1. 2. Without a specific problem, let's consider a common example: why is $\frac{a}{a}

1. **State the problem:** We need to find the slope of a line given its x-intercept is 2 and y-intercept is -2, and write the equation in slope-intercept form $y = mx + b$. 2. **Re

1. Problem: Solve the equation $4=0$. 2. Explanation: The equation $4=0$ states that the number 4 is equal to 0.

1. **Stating the problem:** Find a question similar to question 3c, which is to expand and simplify an expression involving square roots: $ (\sqrt{a} + \sqrt{b})(\sqrt{a} - \sqrt{b

1. **Problem:** Izračunaj in okrajšaj kolikor je to mogoče izraz: $$\frac{5}{8} - \frac{5}{12} + \frac{3}{4} - \frac{2}{3} + \frac{1}{6} + \frac{1}{24}$$

1. **State the problem:** Factor out the greatest common factor (GCF) from the polynomial $12g^5 - 12g^4$. 2. **Identify the GCF:**

1. **State the problem:** Factor the expression $$6p^2 + 6p - 12$$ completely. 2. **Identify the greatest common factor (GCF):** The coefficients are 6, 6, and -12. The GCF of thes

1. **State the problem:** Make $x$ the subject of the formula given by $$4x - 6y = 2xz + 5u$$

1. **State the problem:** Simplify the expression $4 - 9(4 - 9)$. 2. **Apply the order of operations:** First, solve inside the parentheses.

1. **State the problem:** We have two sets of inequalities and equations to analyze.

1. **State the problem:** Solve the system of linear equations: $$y = 5x$$

1. **State the problem:** Simplify the expression $-2|-12+5-8|$. 2. **Evaluate inside the absolute value:** Calculate $-12+5-8$.