🧮 algebra

1. The problem states that Shasta's weight $p$ in pounds varies with age $a$ in months according to the equation $$p = a + 3$$. 2. We are asked to find Shasta's weight when $a = 10

1. **Problem:** Marty’s heart rate is 168 beats per minute after exercising and decreases by 4 beats per minute until it reaches his resting heart rate of 72 beats per minute. We n

1. **Problem:** Dana reads at a rate of 2 pages every 3 minutes. The fourth chapter has 28 pages. How many minutes will it take Dana to read the chapter? 2. **Formula:** Time = \fr

1. **State the problem:** We need to graph the linear equation $$y = 2x - 8$$ on a coordinate grid. 2. **Formula and rules:** The equation is in slope-intercept form $$y = mx + b$$

1. The problem is to graph the linear equation $y = 8x$. 2. The formula for a linear equation in slope-intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y-inter

1. **Énoncé du problème 1 :** Simplifier l'expression $$\left( \frac{3x}{x-2} - \frac{2x}{x+3} \right) : \left( \frac{2x^3 + 26x^2}{x^2 + x - 6} \right)$$

1. The problem is to solve the expression or equation involving the variables 2), D, and t. 2. Since the problem is unclear and incomplete, we need to clarify or assume what is ask

1. **State the problem:** Solve the equation $$\frac{2x - 1}{2} - \left[ \frac{5 - 4x}{4} - \left( \frac{9}{4} - \frac{4x - 9}{6} \right) \right] = 0$$ for $x$. 2. **Rewrite the eq

1. **Problem Statement:** You need to create an image on a coordinate grid using at least 30 lines with specific requirements: 10 lines in point-slope form, 10 in standard form, 10

1. **State the problem:** Simplify the expression $$\left(\left(-\frac{2}{9}\right)^8\right)^7$$. 2. **Use the power of a power rule:** When raising a power to another power, multi

1. **State the problem:** We need to match each quadratic function to its corresponding graph based on vertex and intercept information. 2. **Recall the quadratic form and vertex:*

1. The problem is to match each quadratic function to its respective graph based on the vertex and shape. 2. Recall the general form of a quadratic function: $$f(x) = ax^2 + bx + c

1. The problem is to match each quadratic function to its corresponding graph based on vertex, direction, and intercepts. 2. Recall the general form of a quadratic function: $$f(x)

1. The problem is to match each equation to its respective graph. 2. To do this, we analyze the shape and key features of each graph and compare them to the equations.

1. The problem involves analyzing and graphing four quadratic functions: $f(x) = -x^2 - 1$, $g(x) = -2x^2 - 18x - 36$, $h(x) = x^2 + 5$, and $k(x) = x^2 + 14x + 48$. 2. Recall the

1. **State the problem:** Match each quadratic function to its corresponding graph. 2. **Given functions:**

1. **State the problem:** Match each quadratic function to its graph based on their properties. 2. **Given functions:**

1. Planteamos el problema: En una fiesta hay un total de 350 personas entre personal (x), asistentes con barra libre (y) y asistentes con solo la primera copa pagada (z). 2. Se nos

1. **State the problem:** Find the leading coefficient of the polynomial $$f(x) = 10x^2 + 2x - 9x^3$$. 2. **Recall the definition:** The leading coefficient of a polynomial is the

1. **Identify the values of a, b, and c for each quadratic equation:** - a. For $3x^2 + 8x + 4 = 0$, $a=3$, $b=8$, $c=4$.

1. The problem involves simplifying the expression $2^{\log_2(4x^2)}$. 2. Recall the logarithm and exponent rules: $a^{\log_a(b)} = b$ for any positive $a \neq 1$.