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🧮 algebra

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Rational Linear Angles
1. Represent 7/5 and 4/5 on the number line. - The fractions 7/5 and 4/5 are represented as points on the number line between 1 and 2.
Parallel Line
1. The problem asks for the equation of a line passing through point B(-1, 3) that is parallel to the line given by the equation $$y=4x+2$$. 2. Since the line we want is parallel t
Nilai Mutlak Pertidaksamaan
1. Soal: Cari himpunan penyelesaian dari $\frac{x+2}{4-2x} \geq 1 - x$. Langkah-langkah:
Markup Price
1. The problem asks us to find the retail price of a smartphone with a 20% markup on the production cost of 8,000 rubles (excluding VAT). 2. First, calculate the amount of the mark
Geometric Sequence
1. Stating the problem: Given a geometric sequence with first four terms 418.5, 279, 186, 124, find the common ratio $r$, the 5th term $u_5$, the smallest integer term, and the sum
Pin Code Expression
1. Given the PIN code formula: $$\text{Pin Code} = \frac{5_0'(3x^3 - 2x^2 + x - 4) \times 4^2}{\sqrt{x^2 - 3x + 24}}$$
Domain Square Root
1. The given function is $S(p) = \sqrt{500 - 2p} + 5$. 2. For the square root to be defined for real numbers, the radicand (expression inside the square root) must be non-negative:
Log Product
1. The problem is to find the value of $\log (0.25 \times 0.025)$.\n\n2. First, multiply the numbers inside the logarithm: $$0.25 \times 0.025 = 0.00625.$$\n\n3. So the problem red
Graph Intersection
1. **State the problem:** We are given two equations: $$x + y = 4$$
Sequence Problems
1. **Question 21: Geometric Sequence** - *Problem:* Given the first four terms of a geometric sequence: 418.5, 279, 186, 124, ..., find the common ratio $r$, the 5th term $u_5$, th
Interval Inclusion
1. The word "inclusive" in a math or interval context means including the boundary points or endpoints. 2. If a problem says something like $x \in [a,b]$, it means $x$ can be equal
Even Integers Set Builder
1. The first problem is to list and provide set builder form for even integers between 60 and 73. 2. First, list even integers between 60 and 73. Even integers are multiples of 2.
Vertical Horizontal Lines
1. **Understanding Vertical Lines:** The equation of a vertical line is $x = c$, where $c$ is a constant.
Fraction Subtraction
1. **State the problem:** We need to find the value of $\frac{1}{4} - \left(-\frac{3}{7}\right)$. 2. **Rewrite the expression:** Subtracting a negative number is the same as adding
Fraction Operations
1. Problem: Calculate $16 - \frac{1}{4} - \left(- \frac{3}{7}\right)$. Subtracting a negative is addition, so rewrite as:
Simplify Expression
1. The problem is to simplify the expression: $$2\left(\frac{10 - y}{3}\right)^2$$. 2. Start by understanding that the square applies to the entire fraction \(\frac{10 - y}{3}\). T
Father Son Ages
1. **State the problem:** We are given that the sum of a father's and his son's current ages is 56.
Mixed Algebra
1. Problem i: Evaluate $$6^9 \left( \frac{3}{2} - 4^3 \right) 8^3 \times 16 \times 2$$. 2. Calculate powers:
Max Marks Pass
1. **State the problem:** A student scores 36% and gets 24 marks.
Sum Product Roots
1. **State the problem:** We are given two numbers $\alpha$ and $\beta$ such that their sum is $\alpha + \beta = -6$ and their product is $\alpha \beta = 1$. 2. **Interpretation:**
Expand Expression
1. The request is to expand an algebraic expression, but the exact expression to expand is not provided. 2. Please provide the specific algebraic expression (for example, $(a+b)^2$