🧮 algebra
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Value Mc043 1
1. The problem asks to find the value of the expression represented by mc043-1.jpg, which is presumably a mathematical expression.
2. Since the exact expression is not provided in
Quadratic Factoring
1. The problem is to solve the quadratic equation $x^2 - 5x + 6 = 0$ using an alternative method.
2. Let's solve it by factoring the quadratic expression.
Simplify Root Expression
1. State the problem: Simplify the expression $$\sqrt{\frac{27^{10}+9^{10}}{27^4+9^{11}}}$$.
2. Rewrite the bases as powers of 3: Since $27 = 3^3$ and $9 = 3^2$, we substitute:
Quartic Equation
1. The problem is to solve the equation $$X^2 + 2X + X^4 = 25$$ for $X$.
2. Rearrange the equation to bring all terms to one side:
Expansion Cubo Binomial
1. El problema consiste en expandir el binomio $\left(x + y\right)^3$ sin usar el Teorema del Binomio de Newton, es decir, sin usar coeficientes binomiales directos.
2. Empezamos r
Simplify Radical
1. **Stating the problem:** Simplify the expression $2\sqrt{760815n}$.
2. **Break down the radicand (inside the square root):** Factor 760815 to find its prime factors or a perfect
Explain Step 20
1. Let's begin by identifying what "step 20" involves in the previous solution. Since you asked for an explanation specifically of step 20, we need to clarify the context of this s
Cubic Intersection
1. Stated Problem: Find the intersection points of the function $F(x) = x^3 - 1$ with the line $y + 7 = 0$.
2. Rewrite the line equation to standard form: $y + 7 = 0 \implies y = -
Sqrt Expression
1. Stated problem: Simplify the expression $\sqrt{3074 \times 990 \times n}$.
2. First, multiply the constants inside the square root: $$3074 \times 990 = 3043260.$$ So the express
Exponent Fraction Multiplier
1. The problem is to understand the meaning of multiplying by $\frac{1}{3}$ in an exponent or power context.
2. When you multiply an exponent by $\frac{1}{3}$, it means raising the
Gp Value X
1. **State the problem:** We are given three terms of a geometric progression (GP): $x-2$, $x-1$, and $3x-5$. We need to find the value of $x$.
2. **Recall the property of a GP:**
Solve For C
1. The problem is to solve the equation $C \times 3 = 2.1$ for $C$.
2. To isolate $C$, divide both sides of the equation by 3:
Solve Linear
1. The given expression is \(3* = 2.1\). However, this expression is not a standard algebraic equation because \(*\) is not typically used as an unknown or variable. It looks like
Example 50
1. The problem asks to solve example 50, but no specific details or expressions have been provided.
2. Please send the exact equation or expression for example 50 so I can help sol
Medal Proportions
1. **State the problem:** Two teams competed for medals: Southwell Sports and Fenley Athletics. Each team's medals are shown in pie charts with angles for Bronze, Silver, and Gold
Solve Simultaneous
1. State the problem: Solve the simultaneous equations
$$10x + y = 44$$
Exponent Simplification
1. **Stating the problem:** Simplify the expression $$\frac{x^{-5} \cdot (x^{-6})^{-7}}{\sqrt[3]{x^{-9} \cdot (x^{-6})^{-2}}}$$.
2. **Simplify powers inside numerator:** Apply the
Bucket Spade Cost
1. **State the problem:** We are told that the cost of 2 buckets and 3 spades is 8. We want to find the cost of 4 buckets and 6 spades.
2. **Analyze the situation:** The problem sh
Shared Solution
1. **State the problem:** We have three equations:
$$y = -2$$
Equate Functions
1. **State the problem:** We have two functions:
$$h(x) = \frac{x-1}{\sqrt{x+1} + 2}$$
Compare Variables
1. The problem asks whether variables $h$ and $t$ have the same value under given conditions.
2. To determine this, you must provide the equation(s) or relation(s) involving $h$ an