🧮 algebra

1. The problem is to evaluate the expression $\frac{h}{\frac{14}{7 \div k^2}}$ for $h=10$ and $k=1$. 2. First, simplify the denominator: $14 \div 7 \div k^2$.

1. **State the problem:** We need to evaluate the expression $$\frac{k \times h^2}{7}$$ for $$h = 7$$ and $$k = 2$$. 2. **Substitute the values:** Replace $$h$$ with 7 and $$k$$ wi

1. **State the problem:** Evaluate the expression $s + \frac{3^r}{9}$ for $r=3$ and $s=12$. 2. **Substitute the values:** Replace $r$ with 3 and $s$ with 12 in the expression:

1. **State the problem:** Solve the equation $2x + y = 2$ for $y$ in terms of $x$. 2. **Isolate $y$:** To express $y$ as a function of $x$, subtract $2x$ from both sides:

1. **State the problem:** We need to find the value of the expression $$14 - \frac{v}{w^3}$$ given that $$v = 16$$ and $$w = 2$$. 2. **Substitute the values:** Replace $$v$$ with 1

1. The problem is to analyze the linear equation $2x + y = 2$. 2. We can express $y$ in terms of $x$ by isolating $y$:

1. The expression given is $9 \times a - 84 96 01$. 2. It appears there might be a formatting or spacing issue with the numbers $84 96 01$.

1. The problem is to verify the equation $6 = \frac{9 \times 29.76}{1961}$. 2. First, calculate the numerator: $9 \times 29.76 = 267.84$.

1. The problem states that the slope of a line is $\frac{1}{4}$. 2. The slope of a line, often denoted as $m$, represents the rate of change of $y$ with respect to $x$.

1. The problem asks for the symmetric point of the function $$f(x) = \frac{x^{+1}}{x}$$. 2. First, simplify the function expression. Since $$x^{+1} = x$$, the function becomes $$f(

1. To graph a function, you first need to know the function's equation. 2. The graph shows the relationship between the input variable (usually $x$) and the output variable (usuall

1. The problem asks to create a graph of a non-proportional linear relationship with a slope of $\frac{1}{4}$. This means the line should have the form $y = \frac{1}{4}x + b$ where

1. The problem is to simplify the expression $10\sqrt{240}$.\n\n2. First, factorize 240 to find perfect squares: $240 = 16 \times 15$.\n\n3. Use the property of square roots: $\sqr

1. **Problem:** Solve and analyze the quadratic function $$y = x^2 + 5x + 6$$. Step 1: Factor the quadratic.

1. **Problem:** Solve and analyze the quadratic function $$y = x^2 + 5x + 6$$. Step 1: Factor the quadratic.

1. Let's start by understanding the problem clearly. You want to simplify the expression or solve the problem in a simpler way. 2. Identify the original expression or equation you

1. **State the problem:** We are given the polynomial function $$p(x) = 2x^3 - x^2 - 8x + 4$$ and we want to analyze it. 2. **Find the roots (zeros) of the polynomial:** To find th

1. **State the problem:** Factor the polynomial $$p(x) = (2x^2 - 9x + 7)(x - 2)$$ completely. 2. **Factor the quadratic part:** Focus on factoring $$2x^2 - 9x + 7$$.

1. You asked if your graph is correct, but you did not provide the equation or graph details. 2. To verify a graph, please provide the function or equation you graphed.

1. The problem states: "-5 increased by one-half of a number is a maximum of 3." We need to express this as an inequality. 2. Let the number be represented by $x$.

1. Let's first understand the constraint given: $y - x$. This expression alone is not a complete constraint; typically, constraints are inequalities or equalities such as $y - x \l