📘 algebra, geometry

1. **Convert the trapezoid dimensions to centimeters and find the area.** - Given: 1 m vertical segment, horizontal segments 2 m, 300 cm, 2 m.

1. Problem 6: A relief organization donated 240 kg of maize and 150 kg of beans to needy families. Each family received exactly the same quantity by mass of either maize or beans,

1. The problem asks for the possible values of $n$ in $f(x) = x^n$ if $f$ is a polynomial function. 2. Polynomial functions have non-negative integer exponents. So $n$ must be a wh

1. The problem asks which values of $n$ can be used in $f(x) = x^n$ for $f$ to be a polynomial function. 2. Polynomial exponents must be whole numbers (non-negative integers). So $

1. The problem asks which values of $n$ can be used in $f(x) = x^n$ if $f$ is a polynomial function. 2. A polynomial function requires $n$ to be a whole number (non-negative intege

1. **Problem 1: Find the missing numbers given median and range** We have four number cards: 1, 5, ?, ?

1. **Stating the problem:** We have several expressions to simplify and evaluate:

1. **Problem 29:** Given numbers 40 and $p$ in ratio 4:3, with prime factors shown as: - $40 = 2^3 \times 5$

1. **Problem 1: Find the area of the shaded part in the rectangle.** The rectangle is divided into three parallelograms by two diagonal parallel lines. The total length of the bott

1. **Décomposer en base p et b** Pour décomposer un nombre en base $p$ ou $b$, on exprime ce nombre comme une somme de puissances de la base multipliées par des coefficients entier

1. Solve the inequality $2(3 - x) \leq 4 - x$. Step 1: Expand the left side: $2 \times 3 - 2 \times x = 6 - 2x$.

1. Solve the inequality $3 - 2x < 9$. Step 1: Subtract 3 from both sides:

1. **Problem:** Calculate the product of the numbers in standard notation: $$(3.2 \times 10^{-5}) \times (2.5 \times 10^{3})$$ Step 1: Multiply the decimal parts: $$3.2 \times 2.5

1. Problem h: Find the value of $\frac{45 \times 45 - 5 \times 5}{45 - 5}$. Given options: (i) 40, (ii) 50, (iii) 45, (iv) 5. Step 1: Calculate numerator: $45 \times 45 = 2025$, $5

1. **Graph the quadratic function** $y = x^2$. The function is a parabola opening upwards with vertex at the origin $(0,0)$.

1) **Problem:** Given $a = 2^2 \times 3^2$, $b = 2 \times 3 \times 5$, and $c = 2^2 \times 3 \times 7$, find $x$ such that the LCM$(a,b,c) = 3780$. **Step 1:** Express $a,b,c$ in p

1. **Solve the inequality:** Given $3+x>5$, subtract 3 from both sides to isolate $x$: $$x > 5 - 3$$

1. **Solve inequality:** $3 + x > 5$ Subtract 3 from both sides:

1. **Xác định tính chất của các số 0,75; -2\frac{2}{5}** - Số 0,75 = \frac{75}{100} = \frac{3}{4} là số hữu tỉ vì nó có thể viết dưới dạng phân số hai số nguyên.

1. **Factorize the expression (a):** Given: $4a^2 + 12ab$

1. Solve for $x$: $$2x + 5 = 15$$. 2. Factorize the quadratic expression: $$x^2 - 5x + 6$$.