🧮 algebra

1. The problem is to factorize an algebraic expression. 2. To proceed, please provide the specific expression you want to factorize.

1. The problem is to compare the fractions $\frac{2}{3}$, $\frac{5}{13}$, and $\frac{4}{7}$ or to understand their values. 2. To compare fractions, find a common denominator or con

1. **State the problem:** We want to find which monitor model (A, B, C, D, or E) brings the highest revenue given the manufacturing time, percentage sold, and cost per monitor. 2.

1. The problem is to find the value of the function $y = 1 + 3 \sqrt{x}$ at the point $(4,7)$.\n\n2. Substitute $x = 4$ into the function: $$y = 1 + 3 \sqrt{4}$$\n\n3. Calculate th

1. The problem is to verify if the point $(2,9)$ lies on the curve defined by the function $y = 3x^2 - 2x + 1$. 2. Substitute $x = 2$ into the function:

1. The user asked for a "short formula," which is a very general request. 2. To provide a useful response, let's consider a common short formula in algebra: the quadratic formula.

1. The problem is to verify if the point $(2,9)$ lies on the curve defined by the function $y = 3x^2 - 2x + 1$. 2. Substitute $x = 2$ into the function:

1. **State the problem:** A restaurant sells cheese pizzas originally priced at $12 each, selling 250 pizzas daily. A 20% discount is applied, and sales increase by 18%. We need to

1. **State the problem:** A restaurant sells cheese pizzas originally priced at $12 each, selling 250 pizzas daily. A 20% discount promotion is introduced, and sales increase by 18

1. **State the problem:** We need to find the most cost-efficient virtual training program among A, B, C, and D for 10 new employees, considering program cost, administration fee,

1. **Énoncé du problème :** Calculer $a^2$, $b^2$, $a \times b$, puis $(a+b)^2$ et $(a-b)^2$ avec $a = \sqrt{7} + 4\sqrt{3}$ et $b = \sqrt{7} - 4\sqrt{3}$. Justifier que $a+b=4$ et

1. Konversikan sistem bilangan berikut: a. Konversi 78 dari basis 10 ke basis 2, 8, dan 16:

1. Stating the problem: Solve the equation $0.25(4f-3)=0.05(10f-9)$ for $f$. 2. Expand both sides:

1. Konversi sistem bilangan: a. Konversi 78 dari desimal ke biner, oktal, dan heksadesimal:

1. The problem states that the fraction of girls is $\frac{3}{4}$. This means that out of a total group, three parts out of four are girls. 2. To understand this fraction, imagine

1. The problem states that the ratio of boys to girls is 1:3. 2. This means for every 1 boy, there are 3 girls.

1. The problem is to find the square root of 100 using the method of repeated subtraction. 2. The method of repeated subtraction for square roots involves subtracting consecutive o

1. The problem gives a sequence starting with the first term $a_1 = 11$ and a term-to-term rule: subtract 5 to get the next term. 2. To find the 5th term, we apply the rule repeate

1. Stating the problems: a) Solve the equation $\frac{t}{3} + 7 = 8$ for $t$.

1. State the problem: Solve the equation $$8 = \frac{7 + y}{4}$$ for $y$. 2. Multiply both sides of the equation by 4 to eliminate the denominator:

1. We are given the equation $$\frac{8 + v}{5} = 6$$ and need to find the value of $v$. 2. To isolate $v$, first multiply both sides of the equation by 5 to eliminate the denominat