🧮 algebra

1. **State the problem:** Lina is driving at 46 mph and accelerates to 51 mph while overtaking a lorry. We need to calculate the percentage increase in her speed. 2. **Formula for

1. **State the problem:** A boy is three years older than his sister. The product of their ages is 54. We need to find their ages. 2. **Define variables:** Let the sister's age be

1. **State the problem:** Simplify the expression $$\frac{x^2 + 2x + 1}{x + 1}$$. 2. **Recall the formula and rules:** The numerator is a quadratic expression. We can try to factor

1. **Stating the problem:** We need to find constants $a$, $b$, and $c$ such that the function $$f(x) = (x + 3)(ax^2 + bx + c)$$ matches a given expression or condition (not explic

1. The problem is to simplify or understand the expression $t^2$. 2. The expression $t^2$ means $t$ multiplied by itself: $t \times t$.

1. **State the problem:** Simplify the expression $t^2$ or understand its meaning. 2. **Explanation:** The expression $t^2$ means $t$ multiplied by itself, i.e., $t \times t$.

1. The problem is to identify which graph correctly represents the system of inequalities: $$y > -\frac{1}{2}x + 2$$

1. The problem is to identify which graph correctly represents the system of inequalities: $$y \leq -3x - 1$$

1. **حل التمرين A:** المطلوب حساب $A = \sqrt{16}$.

1. Mari kita selesaikan setiap fungsi satu per satu sesuai dengan soal yang diberikan. 2. Fungsi pertama: $R(t) = t^5 - t$

1. **State the problem:** Find the equation of the line passing through the points $(-4,8)$ and $(4,4)$ using the point-slope form. 2. **Recall the point-slope formula:** The point

1. **State the problem:** Find the equation of the line passing through the points $(-5,7)$ and $(-4,0)$ using the point-slope form. 2. **Recall the point-slope formula:** The equa

1. **State the problem:** Simplify the expression $6m^{-2} n^{-1} + 3m^{-2} n^{-1}$. 2. **Recall the rules:** When adding terms with the same variables and exponents, you can add t

1. **State the problem:** We are given a model representing the equation $$2x + 3 = 3(-x) + 8$$ and need to find the value of $x$. 2. **Write the equation:** From the model, the eq

1. نبدأ بكتابة معادلة الدائرة المعطاة: $$2x^2 + 2y^2 + 12x - 8y + 6 = 0$$

1. **State the problem:** Jessica baked 72 cookies and sold $x$ cookies. Max baked 36 cookies and sold half as many cookies as Jessica, so Max sold $\frac{x}{2}$ cookies. 2. **Set

1. **Énoncé du problème :** Calculer et simplifier l'expression $A = \sqrt{3} \times \sqrt{27}$. 2. **Formule utilisée :** Pour les racines carrées, on utilise la propriété $\sqrt{

1. **State the problem:** Solve the logarithmic equation $$\log_2(3x + 5) - \log_2(x - 5) = 3$$. 2. **Recall the logarithm subtraction rule:** $$\log_b A - \log_b B = \log_b \left(

1. The problem involves evaluating and understanding the expressions $2^a$ and $2^b$ which represent the number of customers for two types of transactions: "Fatura Ödeme" (Bill Pay

1. **State the problem:** Solve the system of equations by graphing: $$3x + y = 3$$

1. The problem is to convert the repeating decimal $0.0\overline{25}$ to a fraction. 2. Let $x = 0.0\overline{25}$, which means $x = 0.0252525\ldots$