🧮 algebra

1. The problem asks for the slope of the line given by the equation $$15x + 3y = 45$$. 2. To find the slope, we need to rewrite the equation in slope-intercept form $$y = mx + b$$,

1. **Problem statement:** Classify the propositions as true (V) or false (F) and justify the false ones.

1. **Stating the problem:** We are given the recurrence relation $$U_{n+1} = 8U_n - \frac{8}{U_n} + 2$$ and need to analyze or solve it. 2. **Understanding the recurrence:** This i

1. **Stating the problem:** We are given the system of equations involving sequences $U_n$ and $v_n$:

1. Masalah: Diketahui 3 liter bensin dapat menempuh jarak 36 km. Berapa liter bensin yang diperlukan untuk menempuh jarak 60 km? 2. Rumus yang digunakan adalah perbandingan langsun

1. Stating the problem: Evaluate the expression $$42. |120| - |-45|$$. 2. Recall that the absolute value of a number is its distance from zero on the number line, always non-negati

1. **State the problem:** We need to find the equation of the line passing through the points given in the table in slope-intercept form, which is $$y = mx + b$$ where $m$ is the s

1. **State the problem:** We have a swimming pool with an inside perimeter of 24 m and an outside perimeter of 48 m. We want to find how many stepping stones are needed to cover th

1. مسئلہ بیان کریں: ہمیں 198، 210 اور 315 کے سب سے چھوٹے مشترکہ ضرب (LCM) کو پرائم فیکٹرائزیشن کے ذریعے تلاش کرنا ہے۔ 2. پرائم فیکٹرائزیشن کا فارمولا: LCM تلاش کرنے کے لیے، ہر عدد

1. समस्या बताएं: हमें 198, 210 और 315 का LCM (Least Common Multiple) यानी सबसे छोटा समापवर्तक खोजना है। 2. सूत्र और नियम: LCM खोजने के लिए हम प्रत्येक संख्या का अभाज्य गुणनखंड (pri

1. The problem is to solve the equation $2x + 3 = 7$ for $x$. 2. We use the basic algebraic principle: to isolate $x$, perform inverse operations on both sides of the equation.

1. The problem states: Given $iD = 30 = 1.24$ and $xRO = 4.95$, find what $50$ equals to. 2. It seems like $iD$ and $xRO$ are variables or values related by some unknown relationsh

1. The problem is to solve the equation $7 - (-x) = 12$ for $x$. 2. Recall that subtracting a negative number is the same as adding its positive counterpart. So, $7 - (-x)$ becomes

1. The problem is to solve the equation $7 - (-x) = 12$ for $x$. 2. Recall the rule that subtracting a negative number is the same as adding its positive counterpart: $a - (-b) = a

1. **State the problem:** Evaluate the expression $$-8 - 9[-2(4^2 + 8 \cdot 2)] + 2[(3 + 4) - 6^2]$$. 2. **Recall order of operations:** Use PEMDAS (Parentheses, Exponents, Multipl

1. The problem asks to represent the inequality $x > -3$ on a number line. 2. This inequality means that $x$ can be any number greater than $-3$, but not equal to $-3$.

1. The problem is to represent a number or expression on a number line. 2. To represent a number on a number line, locate the point corresponding to that number on the line.

1. **Problem Statement:** Identify key characteristics of the graph of a function based on the description provided. 2. **Number of y-intercepts:** The y-intercept is where the gra

1. **State the problem:** We need to analyze the graph of a function based on the description and answer questions about intercepts, extrema, and domain. 2. **Number of y-intercept

1. The problem is to represent given numbers on a number line. 2. A number line is a straight line where each point corresponds to a real number.

1. The problem is to evaluate the expression $86^{1\frac{1}{2}}$, which means $86$ raised to the power of $1.5$ or $\frac{3}{2}$. 2. Recall the rule for fractional exponents: $a^{m