🧮 algebra

1. **State the problem:** Create a polynomial function in factored form with three real zeros based on the birthday 05/27/07. 2. **Identify the zeros:** The zeros are 5 (month), 27

1. **State the problem:** We know that 42 students own their instrument, which is 37.5% of the total number of students in the band. We need to find the total number of students. 2

1. **Determine if each number is rational or irrational:** a) $\sqrt{\frac{49}{16}}$

1. **State the problem:** Calculate the gross pay for the week given hourly wage, hours worked, and tips. 2. **Formula:** Gross pay = (Hourly wage × Hours worked) + (Percentage of

1. **State the problem:** Calculate the gross pay for the week given the hourly wage and work hours. 2. **Given:** Hourly wage = 13 per hour.

1. **State the problem:** We have a polynomial $g(x)$ and know the remainders when divided by two linear polynomials: - When divided by $x+2$, remainder is $-1$.

1. **State the problem:** Simplify the expression $2^{4x-1}$ and identify which of the given options it equals. 2. **Recall the properties of exponents:**

1. Das Problem lautet: Löse die Aufgaben. Da keine spezifische Aufgabe gegeben ist, kann ich nur allgemeine Hinweise geben. 2. Um eine algebraische Gleichung zu lösen, verwendet ma

1. **Problem statement:** A freezer starts at $-14^\circ C$ and warms up by $3^\circ C$ per hour after being unplugged. When the temperature rises above $0^\circ C$, it is plugged

1. **State the problem:** We need to graph the union of the inequalities $x + y \leq -5$ or $x - y \geq 7$.

1. **State the problem:** Factor the polynomial $$125j^2 - 5$$ completely. 2. **Identify common factors:** Both terms have a common factor of 5.

1. **State the problem:** Factor the quadratic expression $$4m^2 + 36m + 80$$ completely. 2. **Identify the common factor:** Notice that each term has a common factor of 4.

1. **State the problem:** Factor the quadratic expression $2m^2 - 3m - 2$ completely. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, we look for two numbers

1. **State the problem:** Factor the quadratic expression $w^2 + 10w + 16$ completely. 2. **Recall the factoring formula:** For a quadratic $w^2 + bw + c$, we look for two numbers

1. **State the problem:** We need to find which expressions are equivalent to $$-5n^2(3n^2 - 6n)$$. 2. **Use the distributive property:** Multiply $$-5n^2$$ by each term inside the

1. **State the problem:** We need to find which expressions are equivalent to $$-6z^3 (2z + 10z^2)$$. 2. **Use the distributive property:** Multiply $$-6z^3$$ by each term inside t

1. **State the problem:** Simplify the expression $$\frac{x^2 - 15x + 54}{x^2 - 14x + 48} \div \frac{1}{x - 8}$$. 2. **Rewrite the division as multiplication:** Dividing by a fract

1. **State the problem:** Simplify the expression \( \frac{6x + 27}{18x^2 + 36x} \div \frac{16x + 72}{2x + 4} \). 2. **Rewrite the division as multiplication by the reciprocal:**

1. **Problem statement:** Simplify each algebraic expression by applying the Distributive Property and combining like terms. 2. **Formula and rules:**

1. **Problem Statement:** Simplify each algebraic expression by combining like terms. 2. **Important Rules:**

1. **State the problem:** We need to subtract the fractions $\frac{7}{8}$ and $\frac{3}{4}$.\n\n2. **Formula and rules:** To subtract fractions, they must have a common denominator