🧮 algebra

1. **State the problem:** Simplify the expression $$1 - 5 - 2 - 3y - 3y$$ by combining like terms. 2. **Identify like terms:** Like terms are terms that have the same variable rais

1. **State the problem:** Two thirds of the children were pediatricians, and 40 children were non-pediatricians. We need to find the total number of children. 2. **Set up the equat

1. **Enunciado do problema:** Calcular o valor da expressão $$1^{21} \times 6^{5} \div 2^{5} \times 3^{4} \times (2^{3})^{2}$$ passo a passo. 2. **Fórmulas e regras importantes:**

1. **Problem:** Determine which statement about the cost per ounce of Bag A and Bag B is true. 2. **Formula:** Cost per ounce = \frac{Cost}{Ounces}

1. The problem asks for the constant of proportionality $\frac{y}{x}$ for a line passing through the origin and the point $(1,40)$. 2. The constant of proportionality in a direct v

1. The problem asks what the number 30 means in the context of the graph point (1, 30), where 1 represents grams of hamster food and 30 represents days. 2. The point (1, 30) means

1. El problema no está explícito, pero parece que quieres resolver una ecuación cuadrática usando la fórmula general para ecuaciones de la forma $ax^2 + bx + c = 0$. 2. La fórmula

1. **State the problem:** Simplify the expression $21 - (-2x - 8)$. 2. **Recall the rule:** Subtracting a negative expression is equivalent to adding its opposite. So, $a - (-b) =

1. **State the problem:** Solve the system of equations using the equal value method: $$y = x^2 - x - 2$$

1. **Problem Statement:** Find the sum of the infinite geometric sequence with first term 20 and common ratio $\frac{1}{2}$. Determine if the sum exists and calculate it if possibl

1. The problem is to find the expanded form of the function $f(x) = (x-2)(x+3)$. 2. We use the distributive property (also known as FOIL for binomials) which states:

1. **Determine the roots and x-value of the vertex for each function:** **a.** $f(x) = (x-2)$

1. **State the problem:** Evaluate the expression $$\left(1024^{\frac{1}{4}}\right)^{\frac{4}{5}}$$ and select the correct answer from the choices: -4, 4, 256, -256. 2. **Recall th

1. **State the problem:** Simplify the expression $\left(5x^{4}y^{-3}\right)^{-2}$. 2. **Recall the exponent rules:**

1. The problem is to solve the equation given in "opg 3" (assuming it is a math problem, but no explicit equation was provided by the user. Since no specific equation is given, I c

1. **Stating the problem:** We have two questions:

1. The problem is to solve the equation $2x + 3 = 11$ for $x$. 2. The formula used here is to isolate $x$ by performing inverse operations. We subtract 3 from both sides and then d

1. The problem asks to find the function that completes the function machine. 2. The inputs are variables $n$, $c$, and $a$.

1. **State the problem:** We need to find the numbers $A$ and $B$ such that: - $7 \times A = 21$

1. **State the problem:** We are given four ordered pairs: (16, 18), (12, 12), (9, 10), and (3, 6). We need to find which one does not lie on the same line formed by the other thre

1. **State the problem:** We need to find the value of the function $K(x) = 2x^2 - 5x + 3$ when $x = -3$. 2. **Formula used:** The function is given by