🧮 algebra

1. The problem asks to verify if the graph correctly represents the relationship between the total cost and the number of hamburgers. 2. The equation given is $\text{Total Cost} =

1. **Evaluate** $5.01 \times 10^3 = 4.11 \times 10^3$. This is a comparison, not an operation, so the values are:

1. **Write the numbers in standard form.** - The number $4.295 \times 10^5$ means move the decimal point 5 places to the right.

1. **State the problem:** We need to find the coordinate pair $(x,y)$ that satisfies both equations simultaneously: $$y = 2x - 3$$

1. **State the problem:** We need to find the coordinate pair $(x,y)$ that satisfies both equations simultaneously: $$y = 2x - 3$$

1. The problem is to solve the equation $$- \frac{8}{9} h = - \frac{4}{27}$$ for $h$. 2. To isolate $h$, divide both sides of the equation by $- \frac{8}{9}$.

1. The problem is to plot a point where the x-coordinate is 1 and the y-coordinate is 2.50. 2. To plot a point on a Cartesian plane, you locate the x-value on the horizontal axis a

1. **State the problem:** We have an exponential decay function with initial value 500 and decay rate 15%. We want to compare the average rate of change on intervals $0 < x < 4$ an

1. **State the problem:** We have an exponential decay function with initial value 500 and decay rate 15%. We want to find the average rate of change on intervals $0 < x < 4$ and $

1. **State the problem:** Solve the inequality $-4x + 5 > -5$ and determine if the solution is $x < 2.5$ or $x > 2.5$. 2. **Use the formula and rules:** To solve inequalities, isol

1. The problem is to simplify the expression $(-1 - (-8)) + 4$. 2. Use the rule that subtracting a negative number is the same as adding its positive counterpart: $-(-8) = +8$.

1. **State the problem:** We need to find the total cost $c$ for $h$ hamburgers, where each hamburger costs 2.50.

1. **State the problem:** We need to solve the equation $$\frac{2x+4}{x-3} = 3$$ for $x$. 2. **Recall the formula and rules:** To solve a rational equation like this, multiply both

1. **Problem:** Simplify the expression $8x^2 y^3 \cdot 2x^3 y$. 2. **Formula and rules:** When multiplying terms with the same base, add the exponents: $a^m \cdot a^n = a^{m+n}$.

1. **State the problem:** Solve the equation $$\frac{2x+4}{3} = 5$$ for $x$. 2. **Formula and rules:** To solve for $x$, multiply both sides of the equation by the denominator to e

1. The problem is to evaluate the expression S = -2(-1 + 6). 2. First, simplify inside the parentheses:

1. Problemet är att hitta skärningspunkten P mellan linjerna $L_1: y = 2x - 4$ och $L_2: y = x - 1$. 2. Skärningspunkten är där båda linjernas $y$-värden är lika, alltså där $2x -

1. **State the problem:** Solve the quadratic equation $$84 = 7u^2 + 28$$ for the real number $u$, rounding to the nearest hundredth. 2. **Rewrite the equation:** Subtract 84 from

1. **State the problem:** Sarah is 5 years older than her brother, and the sum of their ages is 35 years. 2. **Identify the variable:** Let $x$ represent her brother's age.

1. **State the problem:** Sarah is 5 years older than her brother, and the sum of their ages is 35 years. 2. **Define variables:** Let $x$ represent her brother's age.

1. **State the problem:** Sarah is 5 years older than her brother, and the sum of their ages is 35 years. 2. **Define variables:** Let $x$ represent the brother's age.