🧮 algebra

1. **State the problem:** Solve the linear equation $$-4(m + 10) = 8m + 4(-12 - 2m)$$ for the variable $m$. 2. **Apply the distributive property:** Multiply the constants outside t

1. **State the problem:** Graph the function $g(x) = -3(x - 2)^2 + 4$ and identify its domain and range. 2. **Formula and rules:** This is a quadratic function in vertex form $g(x)

1. **Staðhæfing verkefnis:** Við skoðum fallin

1. **State the problem:** We need to find the value of a fraction equivalent to $\frac{28}{70}$ with denominator 4. 2. **Recall the rule for equivalent fractions:** Two fractions $

1. Stating the problem: We need to find the value of the missing numerator in the fraction $\frac{4}{?}$ such that it is equivalent to $\frac{28}{70}$. 2. Understanding equivalent

1. **State the problem:** We need to find the equation of a line passing through the point $(-10, 12)$ with slope $m = -\frac{9}{5}$. The equation should be in standard form $Ax +

1. **State the problem:** We need to find the equation of a line that passes through the point $(3, -8)$ and has a slope of $-3$. The equation should be in standard form, which is

1. **State the problem:** Given the table of values where $x = 1, 2, 3, 4, 5$ and corresponding $y = 33, 34, 35, 36, 37$, find the linear equation that relates $y$ to $x$. 2. **Ide

1. The problem is to find the missing values in the row labeled "k" in the table where the values increase by 5 each step. 2. We observe the pattern in the "k" row: 17, 22, 27, __,

1. The problem asks if all parabolas follow the 1-4-9 rule. 2. The 1-4-9 rule is a property related to the distances of points on a parabola from the vertex along the axis of symme

1. The problem asks about the 1-4-9 rule for graphing quadratic functions and how it makes sense. 2. The 1-4-9 rule is a helpful guideline for plotting points around the vertex of

1. **State the problem:** We are given a table showing the number of songs (x) and the total cost (y) of a subscription. We need to find the slope $m$ of the line relating these va

1. **State the problem:** We are given the exponential function $$y = 1100(1.48)^{-7x}$$ and need to determine if it represents growth or decay, and find the percentage rate of inc

1. **State the problem:** We are given the exponential function $$y = 300 \left(\frac{1}{2}\right)^{-\frac{x}{68}}$$ and need to determine if it represents exponential growth or de

1. **Restate the problem:** You want to understand step 3 where we rewrite the function $y = 300 \left(\frac{1}{2}\right)^{-\frac{x}{68}}$. 2. **Recall the exponent rule:** For any

1. **State the problem:** We are given the exponential function $$y = 300 \left(\frac{1}{2}\right)^{-\frac{x}{68}}$$ and need to understand its behavior. 2. **Formula and explanati

1. The problem is to understand and represent numbers on a number line. 2. A number line is a straight line where each point corresponds to a real number.

1. **State the problem:** Solve the inequality $2x - 16 > -26$. 2. **Add 16 to both sides to isolate the term with $x$:**

1. Staðfesta vandamálið: Við erum með annars stigs margliðu $$f(x) = 2x^2 - 8x + 6$$ og viljum finna topppunktaformið $$f(x) = a(x - h)^2 + k$$. 2. Formúla fyrir að færa margliðu y

1. The problem asks if the fraction $\frac{3}{4}$ equals the division expression $4 \div 3$. 2. Recall that a fraction $\frac{a}{b}$ means $a$ divided by $b$, or $a \div b$.

1. **State the problem:** We have a circle given by the equation $$x^2 + y^2 + 6x - 2y - 26 = 0$$ and a line $$y = kx - 5$$. We want to find the values of the constant $k$ such tha