Subjects

🧮 algebra

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

Inequality Solution
1. **State the problem:** Solve the inequality $$3t < -\frac{1}{3}(-6 - 9t)$$ and determine which graph represents the solution. 2. **Simplify the right side:**
Line Through Point
1. The problem asks for the graph of the line passing through the point $(-1, -1)$ with slope $m=2$. 2. The equation of a line in point-slope form is:
Prime Factors 3899
1. The problem is to find the prime factors of 3899 using the tree method. 2. Start by testing divisibility by small prime numbers.
Algebra Eksponente Wortel
1. Die vraag vra of algebra, eksponente en wortelvorme dieselfde is. 2. Algebra is 'n breë tak van wiskunde wat werk met veranderlikes, terme, en vergelykings.
Algebra Uitdrukkings
1. Die probleem vra vir al die algebraïese uitdrukkings wat gewoonlik in graad 11 behandel word. 2. Algebraïese uitdrukkings sluit in:
Algebraiese Uitdrukkings
1. Die probleem vra vir 'alle tipe algebraiese uitdrukkings'. 2. Algebraiese uitdrukkings is kombinasies van veranderlikes, konstantes, en operateurs soos optelling, aftrekking, ve
Solve Linear Equation
1. **State the problem:** Solve the equation $6x = \frac{4}{50000}$ for $x$. 2. **Isolate $x$:** To find $x$, divide both sides of the equation by 6:
Grade 11 Algebra
1. Grade 11 algebra behels die studie van veranderlikes, vergelykings, en funksies om probleme op te los en patrone te verstaan. 2. Dit sluit in die hantering van lineêre vergelyki
Triangle Vertices
1. **State the problem:** Find the vertices of the triangle formed by the lines $x - 2y = -4$, $x + y = 2$, and the x-axis ($y=0$). 2. **Find the intersection of the two lines:**
Evaluate Expression
1. The problem is to evaluate the expression: $100 - 0 \div 373 \times 100\%$. 2. According to the order of operations, division and multiplication are performed before subtraction
Evaluate Expression
1. **State the problem:** Evaluate the expression $30 \div 2(4-2) + 3^2$. 2. **Simplify inside the parentheses:**
Exponential Functions
1. Problem 7: Sketch the function $$T(t) = 80 \left(\frac{1}{2}\right)^{\frac{t}{30}} + 20$$ and explain the meaning of the y-intercept and the asymptote. 2. The function models th
Fraction Percent
1. The problem asks: What percent is the fraction $\frac{1}{2}$ of 50?\n\n2. First, find the value of $\frac{1}{2}$ of 50 by multiplying:\n$$\frac{1}{2} \times 50 = 25$$\n\n3. Now,
Fraction Percent
1. The problem asks: What percent is the fraction $\frac{1}{2}$ of 50?\n\n2. To find what percent $\frac{1}{2}$ is of 50, we use the formula:\n$$\text{Percent} = \left(\frac{\text{
Hexadecimal Multiplication
1. The problem is to multiply the hexadecimal numbers $62B0A920$ and $3A0$ and express the result in hexadecimal. 2. Convert the hexadecimal numbers to decimal for easier multiplic
Proportion Solutions
1. **State the problem:** Solve the proportion equation $4 \times x = 9 \times 12$ for $x$. 2. **Rewrite the equation:** We have
Quadratic Inequality
1. The problem is to solve the inequality $x^2 + 3x - 4 \geq 0$. 2. First, factor the quadratic expression:
Polynomial Factorization
1. **State the problem:** Factorize the polynomial $$3x^4 + 5x^3 - 10x^2 - 20x - 4$$. 2. **Group terms:** Group the polynomial into pairs to factor by grouping:
Hex Multiplication
1. The problem is to multiply the hexadecimal numbers 62B0A920 and 3A0. 2. Convert each hexadecimal number to decimal for easier multiplication.
Parabel Scheitel
1. **Problem:** Bestimmen Sie den Scheitelpunkt der Parabeln der Form $y = x^2 + c$. Für eine Parabel $y = x^2 + c$ ist der Scheitelpunkt immer bei $S = (0, c)$, da die Normalparab
Absolute Inequality
1. **State the problem:** Solve the absolute value inequality $$5|x - 3| < 35$$ and find the range of values for $$x$$. 2. **Isolate the absolute value:** Divide both sides of the