🧮 algebra

1. **State the problem:** We need to find the area of a rectangle with height $x$ and width $7x - 4$. The area is found by multiplying height by width. 2. **Formula:** Area of a re

1. The problem is to simplify the expression $2 \cdot 4x \cdot 1$. 2. The expression involves multiplication of constants and a variable: $2$, $4x$, and $1$.

1. **State the problem:** We are given two functions: $$h(x) = x^2 - 2$$ and $$g(x) = 4x + 1$$. We need to find the composite function $$h(g(x))$$, which means substituting $$g(x)$

1. Masala: 32 soni 60 sonidan necha foiz ko'p? Formulasi: $$\text{Foiz ortiqcha} = \frac{\text{Farq}}{\text{Asosiy son}} \times 100\%$$

1. **State the problem:** We are given two functions $h(x) = 2x - 2$ and $g(x) = 4x + 1$. We need to find the composite function $h(g(x))$. 2. **Recall the formula for composition:

1. **State the problem:** We need to complete the missing values in the table for marked price, selling price, and discount percentage.

1. **State the problem:** Solve for $\zeta$ in the equation $2\zeta = \frac{B}{m} \times \sqrt{\frac{m}{k}}$. 2. **Identify the formula and rules:** The equation relates $\zeta$ to

1. The problem asks whether the set or function represented in the picture is unbounded. 2. To determine if a set is unbounded, we check if it extends infinitely in any direction.

1. Let's clarify what "minus" means in math: it usually refers to subtraction or a negative sign. 2. If you see a minus sign before a number, like $-3$, it means the number is nega

1. **State the problem:** We are given the polynomial function $p(a) = a^3 - 5$ and asked to find $p(x - 4)$. 2. **Formula and rule:** To find $p(x - 4)$, substitute $a$ with $(x -

1. Stating the problem: We need to complete the table by finding the missing values for marked price, selling price, and discount percentage using the given data. 2. Formula used:

1. **State the problem:** We are given the polynomial function $p(a) = a^3 - 5$ and asked to find $p(x - 4)$. 2. **Formula used:** To find $p(x - 4)$, substitute $a$ with $(x - 4)$

1. **State the problem:** Given the ratios $x:y = 0.5 : \frac{1}{2}$ and $z:y = 0.6 : 1$, find the combined ratio $x:y:z$ and the ratio $x:z$. 2. **Simplify the ratio $x:y$:**

1. **State the problem:** Simplify the expression $b)\ (m - 2) + 2a(2 - m)$ and verify the factorization. 2. **Rewrite the expression:** The original expression is

1. **State the problem:** Dominique can spend up to 20 dollars on drinks for the dance squad. A bottle of water costs 0.80 and a sports drink costs 1.25. We need to write inequalit

1. The problem is to solve algebraic expressions without using vectors, focusing on simple and easy methods. 2. We will use basic algebraic operations such as addition, subtraction

1. The problem asks which transformation corresponds to the graph of the function $y = x^2 + 4$ compared to the base function $y = x^2$. 2. The base function $y = x^2$ is a parabol

1. The problem asks how the graph of the quadratic function $y = (x - 3)^2$ moves compared to the parent function $y = x^2$. 2. The general form for a horizontal shift of a quadrat

1. The problem asks us to find the vertex of the parabola given two points: (0, 13) and (3, 4). 2. The vertex of a parabola is the point where it reaches its minimum or maximum val

1. The problem states that a parabola has a vertex at $(-3, 2)$ and asks for the axis of symmetry. 2. The axis of symmetry of a parabola is a vertical line that passes through the

1. The problem asks us to find which quadratic equation has a vertex at $(-3,4)$. 2. Recall the vertex form of a quadratic equation is $$y = a(x-h)^2 + k$$ where $(h,k)$ is the ver