🧮 algebra
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Factorise Expression
1. The problem is to factorise the expression $12x + 8$ by filling in the blanks in $4(__ + __)$.
2. Start by identifying the greatest common factor (GCF) of the terms $12x$ and $8
Factorise Expression
1. The problem is to factorise the expression $10x + 15$ in the form $\_\_(2x + 3)$.
2. To factorise, we look for a common factor in both terms $10x$ and $15$.
Factorise Expression
1. The problem is to factorise the expression $$18t + 9$$ by filling in the blanks in $$9(__ + __)$$.
2. First, identify the greatest common factor (GCF) of the terms $$18t$$ and $
Factorise Expression
1. The problem is to factorise the expression $2x - 10$ in the form $2(__ - __)$.
2. Start by identifying the common factor in both terms $2x$ and $-10$. The common factor is $2$.
Factorise Expression
1. The problem is to factorise the expression $3x + 12$ by filling in the blanks in $3(__ + __)$.
2. Start by identifying the common factor in both terms $3x$ and $12$. The common
Intersection Cubic Line
1. The problem is to find the points of intersection between the curves given by the equations $y = x^3$ and $y = 4x$.
2. To find the intersection points, set the two expressions f
Simplify Expression
1. **State the problem:** Simplify the expression $$(a-3b)(2u-v)+(a-3b)(u+7v)$$.
2. **Factor out the common term:** Notice that $(a-3b)$ is common in both terms, so we factor it ou
Factorisation
1. The problem is to factorize an algebraic expression.
2. To proceed, please provide the specific expression you want to factorize.
Fraction Comparison
1. The problem is to compare the fractions $\frac{2}{3}$, $\frac{5}{13}$, and $\frac{4}{7}$ or to understand their values.
2. To compare fractions, find a common denominator or con
Highest Revenue
1. **State the problem:** We want to find which monitor model (A, B, C, D, or E) brings the highest revenue given the manufacturing time, percentage sold, and cost per monitor.
2.
Evaluate Function
1. The problem is to find the value of the function $y = 1 + 3 \sqrt{x}$ at the point $(4,7)$.\n\n2. Substitute $x = 4$ into the function: $$y = 1 + 3 \sqrt{4}$$\n\n3. Calculate th
Point On Curve
1. The problem is to verify if the point $(2,9)$ lies on the curve defined by the function $y = 3x^2 - 2x + 1$.
2. Substitute $x = 2$ into the function:
Quadratic Formula
1. The user asked for a "short formula," which is a very general request.
2. To provide a useful response, let's consider a common short formula in algebra: the quadratic formula.
Point On Curve
1. The problem is to verify if the point $(2,9)$ lies on the curve defined by the function $y = 3x^2 - 2x + 1$.
2. Substitute $x = 2$ into the function:
Pizza Sales
1. **State the problem:** A restaurant sells cheese pizzas originally priced at $12 each, selling 250 pizzas daily. A 20% discount is applied, and sales increase by 18%. We need to
Pizza Sales Change
1. **State the problem:** A restaurant sells cheese pizzas originally priced at $12 each, selling 250 pizzas daily. A 20% discount promotion is introduced, and sales increase by 18
Training Costs
1. **State the problem:** We need to find the most cost-efficient virtual training program among A, B, C, and D for 10 new employees, considering program cost, administration fee,
Calculs A B
1. **Énoncé du problème :**
Calculer $a^2$, $b^2$, $a \times b$, puis $(a+b)^2$ et $(a-b)^2$ avec $a = \sqrt{7} + 4\sqrt{3}$ et $b = \sqrt{7} - 4\sqrt{3}$. Justifier que $a+b=4$ et
Konversi Dan Persamaan
1. Konversikan sistem bilangan berikut:
a. Konversi 78 dari basis 10 ke basis 2, 8, dan 16:
Solve Linear Equation
1. Stating the problem: Solve the equation $0.25(4f-3)=0.05(10f-9)$ for $f$.
2. Expand both sides:
Konversi Dan Persamaan
1. Konversi sistem bilangan:
a. Konversi 78 dari desimal ke biner, oktal, dan heksadesimal: