🧮 algebra

1. **State the problem:** We have two cars, Ahmad's and Greg's, with gas tanks decreasing as miles are driven. Ahmad's starts with about 26 gallons and runs out at 360 miles. Greg'

1. **State the problem:** We need to find the length in hours of two workout plans, Plan A and Plan B, given the number of clients and total training hours on Monday and Tuesday. 2

1. **State the problem:** Two mechanics worked on a car. The first mechanic charges 115 per hour, the second charges 80 per hour. Together, they worked 20 hours and charged a total

1. The problem is to solve the given algebraic expression or equation (not specified by the user). 2. Since the user requests to keep the work simple and provide the answer, we wil

1. **Problem statement:** A local business's sales increased from 120 units at Week 0 to 195 units at Week 3. We need to find the sales growth rate (slope), predict sales at Week 7

1. Soal: Diketahui $P(x) = 3x^3 - 4x^2 + 2x - 1$. Hitung nilai $P(2)$. 2. Gunakan substitusi nilai $x=2$ ke dalam fungsi $P(x)$.

1. Soal: Diketahui P(x) = 3x^3 - 4x^2 + 2x - 1. Hitung nilai P(2). 2. Rumus yang digunakan adalah substitusi nilai x ke dalam fungsi polinomial:

1. **Problem statement:** A rectangular garden is to be built using 100 meters of fencing. One side is along a wall, so fencing is needed only for the other three sides. We want to

1. **State the problem:** We are given the function $f(x) = 2x^3 - 3x^2 - 12x + 4$ and we want to analyze it. 2. **Formula and rules:** For a cubic function $f(x) = ax^3 + bx^2 + c

1. **State the problem:** Simplify the expression $$\left(2x - 4x^2 - 12x + 1\right) \cdot 2x + 4x^2 - 12x + 1 \cdot 2x + 4x^2 - 12x + 1.$$\n\n2. **Rewrite the expression clearly:*

1. The problem asks for the formula of $x$. 2. To find the formula for $x$, we need an equation or context relating $x$ to other variables or constants.

1. **Énoncé du problème :** Simplifier l'expression $$\frac{\sqrt[3]{2} \times \sqrt{6} \times \sqrt[5]{8}}{\sqrt[3]{4}}$$. 2. **Formules et règles importantes :**

1. Énoncé du problème : Simplifier le nombre $$\frac{\sqrt[3]{2} \times \sqrt{6} \times \sqrt[5]{\sqrt[3]{8}}}{\sqrt[3]{4}}$$. 2. Rappel des règles :

1. **State the problem:** Simplify and analyze the quadratic expression $-3x^2 + 12x$. 2. **Formula and rules:** This is a quadratic expression of the form $ax^2 + bx + c$ where $a

1. Énoncé du problème : Simplifier le nombre $$\frac{\sqrt[3]{2 \times 6} \times \sqrt[3]{8}}{\sqrt[3]{4}}$$. 2. Formule utilisée : Pour les racines cubiques, on utilise la proprié

1. **State the problem:** Latoya has a rectangular garden with length 12 feet and width 10 feet. Each bag of fertilizer covers 30 square feet. We need to find how many bags are req

1. **State the problem:** Simplify the expression $$\frac{x^2 + 8x + 7 - x}{x} - (3x - 2)$$ and analyze its components. 2. **Rewrite the numerator:** Combine like terms in the nume

1. **State the problem:** We need to find the length and width of a rectangle where the length is three times the width, and the perimeter is 48 cm. 2. **Recall the formula for the

1. The problem asks to explain exercise 75.2, but since the exact problem statement is not provided, I will demonstrate how to approach a typical algebraic exercise labeled similar

1. Stating the problem: Simplify the expressions $A = \sqrt{12} - 4\sqrt{27}$ and $B = 2\sqrt{50} + 4\sqrt{32}$.\n\n2. Formula and rules: Recall that $\sqrt{a \times b} = \sqrt{a}

1. **State the problem:** Determine which of the given graphs represents a function and justify the answer. 2. **Recall the definition of a function:** A function assigns exactly o