🧮 algebra
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Fraction Expression
1. Problem: Solve the expression under part b) which is $$\frac{b}{2^2} - (-3)^2$$.
2. Formula and rules: Recall that exponentiation applies before division and subtraction.
Slope Y Intercept
1. **State the problem:** We are given the linear equation $y = -1 - 5x$ and need to find the y-intercept and slope.
2. **Recall the slope-intercept form:** The general form of a l
Fraction Expression
1. Stated problem: Calculate the value of the expression $$\left(\frac{7}{8} - \frac{5}{12}\right) \times 0.36 + 0.94$$.
2. First, find the difference inside the parentheses: $$\fr
Solve Linear Equation
1. **State the problem:** Solve the equation $y + 4 = -6(x + 1)$ for $y$.
2. **Use the distributive property:** Expand the right side:
Percentage Calculations
1. The problem involves understanding percentages and their application to given amounts.
2. The formula to calculate a percentage of a number is $$\text{Percentage value} = \frac{
Fraction Expression
1. Stating the problem: Calculate the value of $$\left(\frac{7}{8} - \frac{5}{12}\right) \times 0.36 + 0.94$$.
2. Find a common denominator for the fractions inside the parentheses
General Solving
1. Problem: Solve the equation or expression given by the user. Since the user only wrote "Rijesi" (which means "Solve" in Croatian), but did not provide a specific equation, I wil
Exponential Inequality
1. **State the problem:** Solve the inequality $$\frac{1}{2^{4-x}} > 2^5$$.
2. **Rewrite the left side:** Recall that $$\frac{1}{a^b} = a^{-b}$$, so
Lcm 154 273
1. **State the problem:** We need to find the lowest common multiple (LCM) of 154 and 273 using their prime factor trees.
2. **Prime factorization from the trees:**
Scientific Notation Subtraction
1. The problem is to subtract two numbers in scientific notation: $8.4 \times 10^{-11} - 5.1 \times 10^{-12}$.
2. To subtract numbers in scientific notation, they must have the sam
Cubic Equation
1. **State the problem:** Solve the equation $3X + x^3 + x = 36$ for $x$.
2. **Rewrite the equation:** The equation is $3X + x^3 + x = 36$. Assuming $X$ and $x$ represent the same
Standard Form Addition
1. **State the problem:**
We need to add two numbers in standard form: $3.9 \times 10^9$ and $6.4 \times 10^7$.
Scientific Subtraction
1. **State the problem:** We need to subtract two numbers in scientific notation: $5.9 \times 10^7$ and $3.4 \times 10^6$, and express the result in standard form.
2. **Recall the
Add Standard Form
1. **State the problem:** We need to add the numbers $2.3 \times 10^{7}$ and $4.1 \times 10^{8}$ and express the result in standard form.
2. **Recall the standard form:** A number
Unit Rate Water
1. The problem asks for the unit rate of water usage in cubic feet per hour.
2. The unit rate is the amount of water used per one hour.
Water Usage Rate
1. **State the problem:** We need to find the unit rate of water usage in cubic feet per minute based on the graph showing water used over time.
2. **Identify the given data:** Fro
Rational Expression
1. **State the problem:** Simplify and analyze the rational expression $$\frac{x^{2} - 12x + 27}{x^{2} - 10x + 9}$$ and understand its behavior.
2. **Factor numerator and denominat
Percent Of Number
1. The problem is to find 33 percent of 65.
2. To find a percentage of a number, use the formula: $$\text{Percentage of a number} = \frac{\text{percent}}{100} \times \text{number}$
Percent Of Number
1. The problem asks to find 33 percent of 87.12.
2. To find a percentage of a number, use the formula: $$\text{Percentage of a number} = \frac{\text{percent}}{100} \times \text{num
Max Oppervlakte
1. **Stel het probleem vast:**
We hebben een grote rechthoek die is verdeeld in drie kleinere rechthoeken naast elkaar. De hoogte van elke kleine rechthoek is $a$, en de breedte is
Fraction Addition
1. **State the problem:** Calculate the value of the expression $\frac{2}{3} + 5$.
2. **Recall the rule:** To add a fraction and a whole number, convert the whole number to a fract