🧮 algebra

1. **State the problem:** We need to find an expression that models the total cost of a plumber's job lasting $h$ hours, where $h > 1$. The plumber charges a flat fee of $75$ for t

1. **State the problem:** Jade's age is twice Sara's age. Sara's age is given as $y$ years. 2. **Identify the formula:** If one quantity is twice another, the first quantity equals

1. **State the problem:** Jay earns $8$ dollars per hour working at his uncle's store and $9$ dollars per hour doing yard work for his neighbor. We want to find an expression for t

1. **State the problem:** We need to find an expression for the total cost of admission for $x$ students and $y$ adults. 2. **Identify the costs:** Each student costs $12$ and each

1. **State the problem:** Calculate the premium pay for a call center agent who works 8 hours a day with a daily wage of 1784 and works 10 hours on each of his 2 rest days.

1. **State the problem:** Calculate the premium pay for a call center agent who works 8 hours on each of his 2 rest days.

1. **State the problem:** We need to evaluate the seventh root of 80, which is written as $\sqrt[7]{80}$.

1. **State the problem:** Simplify the expression $$3\sqrt{8} + 7\sqrt{80} - \sqrt{18} - 3\sqrt{125}$$. 2. **Recall the rule:** To simplify expressions with square roots, factor th

1. **State the problem:** We need to find the overtime rate of pay given a daily rate of 840 and a basic hourly rate of 105. 2. **Recall the formula:** The overtime rate on an ordi

1. **State the problem:** Simplify the expression $$\left(8^{\frac{3}{4}} + 2^3\right)^{\frac{1}{2}}$$. 2. **Recall the rules:**

1. **State the problem:** Simplify the expression $$\sqrt[6]{9x^{8}y^{12}}$$. 2. **Recall the rule for radicals:** $$\sqrt[n]{a^{m}} = a^{\frac{m}{n}}$$.

1. **State the problem:** We need to find which students wrote a square root value between $11$ and $11.5$. 2. **Recall the problem:** The square root value must satisfy $$11 < \sq

1. **State the problem:** Given the equation $x + 4\sqrt{5 - x^4} = 2$, find the value of $x^4\sqrt{5 - x^4}$. 2. **Analyze the equation:** We have a sum of $x$ and $4\sqrt{5 - x^4

1. **Evaluate $f(2)$** Given $f(x)=2x^2-3x+1$, substitute $x=2$:

1. The problem is to solve for $x$ from the equation $x+4\sqrt{5}-\frac{x}{4}=2$, then find the value of $\frac{x}{4\sqrt{5}-x/4}$. 2. Since this is a video request, please visit <

1. **Evaluate $f(2)$:** Given $f(x)=2x^2-3x+1$, substitute $x=2$:

1. **State the problem:** Simplify the expression $\frac{a}{a}$. 2. **Recall the rule:** Any nonzero number divided by itself equals 1, i.e., $\frac{x}{x} = 1$ for $x \neq 0$.

1. **State the problem:** Simplify the expression $$7x^2y + 5x + 10yx^2$$. 2. **Identify like terms:** Notice that $$7x^2y$$ and $$10yx^2$$ are like terms because multiplication is

1. **State the problem:** We need to graph the function $$y = \frac{1}{8} \cdot 2^x$$ by transforming the parent function $$y = 2^x$$. 2. **Recall the parent function:** The parent

1. **State the problem:** We need to graph the function $$y = (x - 4)^3 + 4$$ by transforming the parent cubic function $$y = x^3$$.

1. Masalah yang diberikan adalah mencari titik persilangan dari dua garis lurus yang diberikan oleh sistem persamaan: $$x + y = 1$$