🧮 algebra

1. **State the problem:** Apples cost $x$ cents each and oranges cost $(x + 2)$ cents each.

1. The problem asks for an expression representing the total amount of drink Sandra has in millilitres, given she buys $p$ cans and $q$ bottles. 2. Each can contains 330 ml, so $p$

1. **State the problem:** Dylan buys apples costing $x$ cents each and oranges costing $(x+2)$ cents each.

1. **State the problem:** Solve the cubic equation $$x^3 + 3x^2 + 2x - 210 = 0$$. 2. **Try to find rational roots using the Rational Root Theorem:** Possible roots are factors of 2

1. **State the problem:** We have four points A, B, C, and D representing integers on a number line. We need to arrange these integers in order using given clues. 2. **Identify the

1. Let's start by understanding what negative and positive integers are. 2. Negative integers are numbers less than zero, such as $-1, -2, -3, \ldots$.

1. প্রথম সেটের বীজগণিতীয় ভগ্নাংশগুলি হল: - $\frac{a}{a^2 - 6a + 5}$

1. প্রথম ভগ্নাংশের হারকে উপপাদকে বিশ্লেষণ কর। প্রথম ভগ্নাংশ: $\frac{5}{a^2 - 6a + 5}$

1. The problem is to simplify the expression $[3X] - 3$. 2. Here, $[3X]$ denotes the greatest integer function (floor function) applied to $3X$, which means it is the greatest inte

1. The problem is to find the value of $y$ when $x=6$ in the equation $y=2x-2$. 2. Substitute $x=6$ into the equation:

1. The problem is to find the value of $y$ when $x=2$ for the linear equation $y=2x+3$. 2. Substitute $x=2$ into the equation:

1. **State the problem:** We have the linear function $y = 2x + 3$ and a right triangle with vertices at $(0,0)$, $(2,0)$, and $(2,3)$. We want to understand the relationship betwe

1. The problem is to solve the equation $$2x + 3 = 7$$ for $x$. 2. Start by isolating the variable term on one side. Subtract 3 from both sides:

1. The problem is to solve the sequence or expression given by the user. However, no specific sequence or expression was provided in the message. 2. To proceed, please provide the

1. The problem is to factor the expression $x^2 - 9$. 2. Recognize that $x^2 - 9$ is a difference of squares since $9 = 3^2$.

1. The problem is to simplify the expression $$10(5 - 10) \times \left(-\frac{1}{5}\right) \times \left(4 \frac{1}{6} 7 - \frac{3}{4}\right)$$. 2. First, simplify inside the parent

1. The problem is to factorize the cubic polynomial $$x^3 - 9$$. 2. Recognize that $$x^3 - 9$$ can be rewritten as $$x^3 - 3^2$$, which is a difference of cubes since $$9 = 3^2$$ i

1. **State the problem:** Evaluate the expression $$\frac{7}{10} \times \left(-\frac{8}{5} + \frac{9}{10}\right)$$. 2. **Simplify inside the parentheses:** Find a common denominato

1. **State the problem:** Factor the expression $x^3 - 9$. 2. **Recognize the form:** The expression is a difference of cubes if rewritten as $x^3 - 3^3$.

1. The problem is to find the equation of the line passing through points $A(-2,1)$ and $B(-5,3)$.\n\n2. First, calculate the slope $m$ of the line using the formula:\n$$m=\frac{y_

1. The problem is to find the equation of the line passing through points $A(1,2)$ and $B(2,4)$.\n\n2. First, calculate the slope $m$ using the formula:\n$$m=\frac{y_2-y_1}{x_2-x_1