🧮 algebra

1. The problem is to summarize the main points of a function concept typically denoted by $f(x)$. 2. A function $f(x)$ is a rule that assigns to each element $x$ in the domain exac

1. A function is a relation where each input has exactly one output. 2. The domain is the set of all possible inputs for the function.

1. Diketahui persamaan: $$7 \div \frac{\sqrt{9}}{2} \times x = 28$$ 2. Ingat bahwa $$\sqrt{9} = 3$$, jadi persamaan menjadi: $$7 \div \frac{3}{2} \times x = 28$$

1. Step 2 typically involves applying a key operation or transformation from the first step's result. 2. To explain thoroughly, identify the exact operation: Are we simplifying, fa

1. **State the problem:** We have a regression equation $$\hat{y} = b_0 + b_1 x$$ where $$b_0=700$$ (y-intercept) and $$b_1=-50$$ (slope). We need to find the predicted value of $$

1. Diberikan persamaan kuadrat $$x^2 - 4x + m = 0$$ dengan akar-akar $$x_1$$ dan $$x_2$$. 2. Menurut rumus jumlah akar-akar dan hasil kali akar-akar persamaan kuadrat, kita punya:

1. **Problem 1.1: Solve the quadratic equation** $$x^2 + 14x + 45 = 0$$ Step 1: Identify coefficients: $$a=1$$, $$b=14$$, and $$c=45$$.

1. Given the quadratic equation $$x^2 + p x + 4 = 0$$ with roots $$\alpha$$ and $$\beta$$. 2. We know from Vieta's formulas:

1. The problem is to evaluate the expression $8 - 11 \times (-6)$.\n2. According to the order of operations, multiplication is done before subtraction.\n3. Multiply $11$ by $-6$: $

1. The problem is to evaluate the expression $8 - 11 \times (-66)$. 2. According to the order of operations, multiplication comes before subtraction. So first, calculate $11 \times

1. The expression given is $8 - 11 x - 6$. 2. Usually, multiplication is implied between a number and a variable, so $11 x$ means $11\times x$.

1. The problem is to simplify the expression $8 - 11 \times -66$. 2. According to the order of operations (PEMDAS/BODMAS), we first perform the multiplication:

1. The problem is to simplify the expression $8 - 11 \times 6$. 2. According to the order of operations, multiplication is performed before subtraction.

1. The problem is to find the equation of the parabola given by $$y = x^2 + 3x + 6$$ after a rotation of 270° about the point $$(-2,4)$$. 2. First, translate the coordinate system

1. Stating the problem: Simplify the expression $$\sqrt[n]{x}\sqrt[n]{x}\sqrt[n]{x}\sqrt[n]{x}$$. 2. Recall the property of radicals: $$\sqrt[n]{a}\cdot\sqrt[n]{b} = \sqrt[n]{ab}$$

1. The problem is to simplify the expression $\sqrt{x}5 - 2\sqrt{x}6$. 2. We rewrite the expression to clarify it: $5\sqrt{x} - 2\sqrt{x}6$.

1. Stating the problem: We need to evaluate the expression $\frac{\sqrt{36}}{4}$.\n2. Calculate the square root: $\sqrt{36} = 6$.\n3. Substitute back: The expression becomes $\frac

1. Problem: 30 is 20% of what number? We need to find the number $x$ such that $20\%$ of $x$ is 30.

1. The problem is to simplify the expression $\frac{\sqrt{3}}{4}$.\n2. Here, $\sqrt{3}$ is the square root of 3, and it remains as is.\n3. The denominator is 4, so the fraction can

1. The problem is to simplify or factor the expression $4x^2 - 2x^3 - 6x$. 2. First, identify the greatest common factor (GCF) of all terms. The terms are $4x^2$, $-2x^3$, and $-6x

1. The problem asks us to place the given numbers from the box onto the number line at the positions marked with a "+". 2. First, let's convert all boxed numbers to decimal form to