🧮 algebra

1. Stating the problem: Simplify the expression $7 - x \times x + 2(x - \sqrt{7})$. 2. Rewrite the expression: $7 - x^2 + 2(x - \sqrt{7})$.

1. State the problem: Simplify the expression $3x - (2y + 5x) - (9x + y)$. 2. Distribute the negative signs inside the parentheses:

1. **State the problem:** We are given the function $f(x) = -x^2 - 5x + 2$ and need to find various difference quotients. 2. **Difference Quotient Definition:** The difference quot

1. The problem asks to evaluate $\log_8(8)$. This means we want to find the exponent to which 8 must be raised to get 8. 2. By definition, $\log_a(a) = 1$ for any positive base $a

1. The problem asks us to evaluate the absolute values of several numbers and understand their meaning. 2. Recall the definition of absolute value: for any real number $x$, $|x|$ r

1. Stating the problem: We need to find the value of the function $ (n - m)(-6) $ where $ n(x) = |x-3| $ and $ m(x) = 4x $. 2. Recall that $ (n - m)(x) = n(x) - m(x) $. So, $ (n -

1. The user referenced a previous function but did not provide it in this session. 2. Please provide the function explicitly so I can assist with calculations or graphing.

1. The problem asks to determine the product of the expression $(n - m)$ multiplied by $-6$. 2. To multiply $(n - m)$ by $-6$, apply the distributive property:

1. The problem is to create a math exercise for you to solve. 2. Here is an algebra problem: Solve for $x$ in the equation $$3x^2 - 5x + 2 = 0$$.

1. We are given three functions: $$m(x) = 4x$$, $$n(x) = |x-3|$$, and $$p(x) = \frac{1}{x} + 1$$. 2. Let us analyze each function:

1. Let's create a simple algebra exercise: Solve for $x$ in the equation $$2x + 3 = 7$$. 2. Start by isolating the term with $x$. Subtract 3 from both sides:

1. Énoncé : Réponds par vrai ou faux. 1) L'inverse de $a^n$ est $\frac{1}{a^{-n}}$.

1. Тодорхойлох: Өгөдсөн илэрхийлэл нь $$- \left| -5 \right| \div \left| 3 - (-2) \right|$$ гэж байгаа. 2. Алхам 1: Абсолют утгуудыг олно.\n$\left| -5 \right| = 5$

1. **State the problem:** Given the system of equations:

1. Consider the expression: $$3(x - 2) - 4(x + 5)$$. 2. The problem is to simplify this expression by removing the brackets and combining like terms.

1. **State the problem:** We have the quadratic equation $x^2 - (m - 1)x + m + 2 = 0$ and want to find the values of $m$ for different root conditions. 2. **Recall discriminant for

1. Let's start by understanding what the absolute value means. 2. The absolute value of a number is the distance that number is from zero on the number line, regardless of directio

1. Masalah: Diberikan barisan geometri dengan suku pertama $a_1=3,6\sqrt{2}$ dan suku-suku berikutnya $24, 48/2, ..., 98.304$. Diketahui banyaknya suku barisan tersebut adalah ganj

1. Misalkan suku pertama barisan geometri adalah $a$ dan rasio adalah $r$. 2. Suku ketiga adalah $a r^2$, dan diketahui $a r^2 = a + 6$.

1. Diberikan fungsi kubik taman kota: $$y = x^3 - 4x$$. Kita ingin menentukan luas total daerah antara grafik fungsi dan sumbu x dari $$x = -2$$ sampai $$x = 0$$. 2. Karena fungsi

1. The problem asks to evaluate the absolute values of the given numbers: -3, 0, 3, and to evaluate |−100| and |100|. 2. Recall that the absolute value of a number $x$, denoted $|x