Algebra, Geometry Problems | Mathix (MathGPT)

Inequality Average Similarity

1. Solve the inequality $2(3 - x) \leq 4 - x$. Step 1: Expand the left side: $2 \times 3 - 2 \times x = 6 - 2x$.

Inequality Triangle Graph

1. Solve the inequality $3 - 2x < 9$. Step 1: Subtract 3 from both sides:

Standard Notation Area Volume

1. **Problem:** Calculate the product of the numbers in standard notation: $$(3.2 \times 10^{-5}) \times (2.5 \times 10^{3})$$ Step 1: Multiply the decimal parts: $$3.2 \times 2.5

Mixed Problems

1. Problem h: Find the value of $\frac{45 \times 45 - 5 \times 5}{45 - 5}$. Given options: (i) 40, (ii) 50, (iii) 45, (iv) 5. Step 1: Calculate numerator: $45 \times 45 = 2025$, $5

Quadratic Vertex Triangle

1. **Graph the quadratic function** $y = x^2$. The function is a parabola opening upwards with vertex at the origin $(0,0)$.

Lcm Distance Lines Quadrilateral

1) **Problem:** Given $a = 2^2 \times 3^2$, $b = 2 \times 3 \times 5$, and $c = 2^2 \times 3 \times 7$, find $x$ such that the LCM$(a,b,c) = 3780$. **Step 1:** Express $a,b,c$ in p

Algebra Inequality Circle

1. **Solve the inequality:** Given $3+x>5$, subtract 3 from both sides to isolate $x$: $$x > 5 - 3$$

Multiple Geometry Algebra

1. **Solve inequality:** $3 + x > 5$ Subtract 3 from both sides:

Multi Part Algebra Geometry

1. **Xác định tính chất của các số 0,75; -2\frac{2}{5}** - Số 0,75 = \frac{75}{100} = \frac{3}{4} là số hữu tỉ vì nó có thể viết dưới dạng phân số hai số nguyên.

Algebra Factorization And Geometry

1. **Factorize the expression (a):** Given: $4a^2 + 12ab$

Kjsea Math Questions

1. Solve for $x$: $$2x + 5 = 15$$. 2. Factorize the quadratic expression: $$x^2 - 5x + 6$$.

Standard Form Angles

1. Write $9.02 \times 10^{5}$ as an ordinary number. To convert from standard form, multiply 9.02 by $10^{5} = 100000$.

Prime Factorization Roots

1. **Problem 12a:** Find the prime factorization of 576 using exponents. 2. Start by dividing 576 by the smallest prime 2 repeatedly:

Cone Polynomial Triangle

1. **Find the total surface area of a cone and explain the terms.** The total surface area $A$ of a cone is given by the formula:

Pattern Arithmetic

1. **Problem statement:** (i) Given the pattern ৮, ১৩, ১৮, ২৩, ... or numerically 8, 13, 18, 23, ...

Math Concepts

1. The problem involves matching or filling in blanks for several math concepts: 2. Bisect means to divide into 2 equal parts.

Algebra Geometry

1. **Solve $8x^{2} + 6x - 2 = 0$ using quadratic formula.** The quadratic formula is given by: $$x = \frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}$$

Log Circle Angles

1. **Problem:** Solve for $x$ if $\log_2(3x - 1) = 5$. 2. **Step 1:** Rewrite the logarithmic equation in exponential form:

Exponent Angles Radicals

1. Solve the equation $2^{2x-5} = 8^0$. Since $8^0 = 1$, we have: $$2^{2x-5} = 1$$