🧮 algebra

1. The problem states: $\frac{Y}{2} = 4.7$. We need to find the value of $Y$. 2. To solve for $Y$, multiply both sides of the equation by 2 to isolate $Y$.

1. **State the problem:** We have two parabolas given by the equations:

1. **State the problem:** Simplify the expression $$\frac{1}{2+x} - \frac{2-x}{x}$$. 2. **Find a common denominator:** The denominators are $2+x$ and $x$. The common denominator is

1. You asked to use the graph you provided to give the answer. 2. However, I do not have access to any graph or image you mentioned.

1. **State the problem:** You want to graph the system of inequalities: $$y < 2$$

1. The problem is to find the equation to determine how many zeros a function has. 2. The number of zeros of a function corresponds to the number of solutions to the equation $$f(x

1. **Problem statement:** A boat tour company charges 11 for a harbour tour and averages 450 passengers on Saturdays. Every increase of 1 in the price decreases the number of custo

1. The problem is to write the inequality represented by the number line interval from 1 to 4, where 1 is not included and 4 is included. 2. The open circle at 1 means the inequali

1. **State the problem:** Make $n$ the subject of the equation $$n - 2k + 4c^2 = M$$. 2. **Identify the goal:** We want to isolate $n$ on one side of the equation.

1. **State the problem:** Simplify the expression $$-\left(3 - 5\left(x - 2y\right)\right) + 2\left(-2x + y\right)$$. 2. **Apply the distributive property:**

1. **State the problem:** Simplify the given fractions and check the equality $\frac{8}{12} = \frac{2}{2}$.\n\n2. **Simplify each fraction:**\n- $\frac{3}{5}$ is already in simples

1. **State the problem:** Solve the inequality $$15 - \frac{7x}{5} \geq 9$$ for $$x$$. 2. **Isolate the term with $$x$$:** Subtract 15 from both sides:

1. **State the problem:** Solve the inequality $$18 > 12 - \frac{6}{7}x$$ for $$x$$. 2. **Isolate the term with $$x$$:** Subtract 12 from both sides:

1. **State the problem:** We have a function $f(t)$ graphed and three new functions defined as: - $a(t) = f(t) + 3$

1. **Identify the dependent and independent variables in the first practice problem:** - Problem: The distance $t$ depends on the speed $S$.

1. **State the problem:** Expand and simplify the expression $ (h + 6)(5 - h) $. 2. **Recall the distributive property:** To expand, multiply each term in the first parenthesis by

1. **State the problem:** Solve the quadratic equation $$25z^2 - 30z + 4 = -5$$ using the quadratic formula. 2. **Rewrite the equation:** Move all terms to one side to set the equa

1. **State the problem:** We are given two expressions, $3x - 71$ and $x + 20$, which are labeled near intersections of a diagonal line with two parallel lines. We want to find the

1. **Find the domain of the function** $f(x) = \frac{1}{x - 1}$. 2. The domain of a function is the set of all $x$ values for which the function is defined.

1. **State the problem:** We need to find the sum of the fractions $\frac{1}{8} + \frac{1}{7} + \frac{2}{7} + \frac{7}{8}$. 2. **Formula and rules:** To add fractions, we need a co

1. Let's state the problem: You want to find the possible zeros of a polynomial function. 2. The rule to find possible rational zeros is called the Rational Root Theorem. It says t