Subjects

🧮 algebra

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

Search Solutions

Solve Inequality
1. Stating the problem: Solve the inequality $8y - 7 > 17$ for $y$. 2. Add 7 to both sides to isolate the term with $y$:
Solve Inequality
1. **State the problem:** Solve the inequality $X + 5 \ge 6 + 3$. 2. **Simplify the right side:** Calculate $6 + 3 = 9$.
Function Evaluation
1. Problem 1: Given $q(p)=\frac{1}{1-p}$, find $q(-3)$. 2. We substitute $p=-3$ into the formula.
Solve Inequality
1. Stating the problem: Solve the inequality $-5x + 3 \geq 13$. 2. Subtract 3 from both sides to isolate the term with $x$:
Simplification Process
1. First, please provide the specific mathematical expression or problem you want me to simplify. 2. Once provided, I will break down the process step-by-step.
Solve Inequality
1. We start with the inequality: $-5x + 3 \geq 13$
Parabolic Intersections
1. **State the problem:** We want to find the intersection points and area between two parabolic curves. The father's birth month is June (6) and last two digits of birth year unkn
Evaluate A
1. **State the problem:** We are given the polynomial $$4x^3 - 6x + ax + 3$$ and told that when it is divided by $$2x - 1$$, the remainder is 7. 2. **Understand the divisor:** Firs
Simplify Rational
1. The problem is to simplify the sum of mixed numbers: $3 \frac{1}{2} + 4 \frac{1}{3} + 5 \frac{1}{4}$.\n\n2. Convert each mixed number to an improper fraction:\n- $3 \frac{1}{2}
Find A Remainder
1. The problem states that when the polynomial $$4x^3 - 6x + ax + 3$$ is divided by $$2x - 1$$, the remainder is 7. 2. By the Remainder Theorem, the remainder of a polynomial $$f(x
Fungsi Aljabar
1. Diketahui fungsi $f(x) = x + 3$ dan $g(x) = 2x^2 - 1$. Tentukan $(f + g)(x)$. $(f + g)(x) = f(x) + g(x) = (x + 3) + (2x^2 - 1) = 2x^2 + x + 2$.
Function Evaluation
1. **State the problem:** We have three functions: - $f(x)=\frac{4x+5}{1-2x}$
Simplify Fractions
1. **Stating the problem:** Simplify each expression involving mixed numbers by converting to improper fractions, performing operations, and simplifying results. 2. **Convert mixed
Polynomial Factors Roots
1. The problem asks which of the given expressions is NOT a factor of the polynomial $f(x) = x^3 - 13x - 12$. 2. Recall that if $(x - r)$ is a factor of $f(x)$, then $f(r) = 0$. We
Fraction Simplification
1. Problem: Simplify the following expressions: a) $3 \frac{1}{2} + 4 \frac{1}{3} + 5 \frac{1}{4}$
Add Fractions
1. The problem is to add the two fractions $\frac{4}{9}$ and $\frac{7}{9}$. 2. Since the denominators are the same (9), we can add the numerators directly.
Parabolic Intersections
1. **State the problem:** We are given two parabolas based on family birthdates. Given:
Fraction Equation
1. State the problem: Solve for $x$ in the equation $$\frac{5}{8} - \frac{3}{5} = \frac{x}{10}.$$\n\n2. Find the least common denominator (LCD) of the fractions on the left side. T
Quadratic Vertex
1. We are given a quadratic function $f(x)$ and are asked to find its vertex coordinates, maximum or minimum value, axis of symmetry, and y-intercept. 2. The general form of a quad
Sum Arithmetic
1. The problem is to find the sum of the first 19 terms of an arithmetic sequence. 2. The sum of the first $n$ terms of an arithmetic sequence is given by the formula $$S_n = \frac
Sum First 19
1. The problem asks for the sum of the first 19 terms of a sequence, but the sequence type was not specified. Assuming it is an arithmetic sequence. 2. The formula for the sum of t