🧮 algebra

1. **State the problem:** Solve the quadratic equation $$8x^2 + 4x = 0$$. 2. **Factor the equation:** Factor out the common term $$4x$$:

1. The problem states that the total amount is $1600 + 800 + 470$. 2. Calculate the total sum: $$1600 + 800 + 470 = 2870$$.

1. The problem is to evaluate the expression $$\frac{12}{14706} \times 1000$$. 2. First, calculate the fraction $$\frac{12}{14706}$$.

1. Let's first understand when the quadratic formula is necessary. 2. The quadratic formula is used to solve quadratic equations of the form $ax^2 + bx + c = 0$.

1. Masala 28: 12/7, 15/13, 10/11 sonlariga bo'linadigan eng kichik natural sonni topish. Bu son har uchala sonning kasr qismi bo'linadigan son bo'lishi kerak. Ya'ni, $\frac{12}{7}n

1. The problem is to verify the expression $\left(\frac{9}{2}\right)^2 = 81$. 2. Start by squaring the fraction $\frac{9}{2}$: $$\left(\frac{9}{2}\right)^2 = \frac{9^2}{2^2} = \fra

1. The problem appears to be evaluating the expression $$9 \div 2 \times (-1) = ?$$ 2. First, perform the division: $$9 \div 2 = \frac{9}{2} = 4.5$$

1. The problem appears to be solving the equation $9 \times 2(-) = -2$. However, the expression is incomplete or unclear. 2. Assuming the problem is $9 \times 2(-x) = -2$, we rewri

1. Énonçons le problème : Nous avons trois salariés Abel, Bernard, et Camille avec des données associées (8, 2, 1), (2, 6, 5) et leurs salaires respectifs 120000, 98000, 140000. 2.

1. The problem asks us to select the interval where the function $h(x)$ is less than zero, i.e., where the graph is below the x-axis. 2. From the graph description, $h(x)$ dips bel

1. Solve for $x$: 1.a) Given $\log_3 x = 4$, rewrite in exponential form: $x = 3^4 = 81$.

1. The problem asks to identify the equation of a parabola that opens upwards, is symmetric about the y-axis, and has its vertex at the origin (0,0). 2. Let's analyze each option:

1. **State the problem:** Solve the equation $3x - 4 = 0$ for $x$. 2. **Isolate the variable term:** Add 4 to both sides to get:

1. **State the problem:** Simplify the expression $x^2 + 2x + 2xy + 4y$. 2. **Group like terms:** Group terms with common factors: $x^2 + 2x + 2xy + 4y = x^2 + 2x + 2xy + 4y$.

1. The problem is to expand the expression $ (x-5)^2 $. 2. Recall the formula for the square of a binomial:

1. **State the problem:** Expand the expression $$(2x+3)(5x-2)$$. 2. **Apply the distributive property (FOIL method):** Multiply each term in the first parenthesis by each term in

1. **State the problem:** We are given a line $l$ with slope $-1$. We need to compare Quantity A, the x-intercept of line $l$, and Quantity B, the y-intercept of line $l$. 2. **Rec

1. The problem is to simplify the expression $2^{3x} \div 2^x$. 2. Recall the property of exponents: $\frac{a^m}{a^n} = a^{m-n}$ when the base $a$ is the same.

1. The problem is to simplify the expression $\frac{3^{2x}}{3^x}$.\n\n2. Recall the property of exponents: $\frac{a^m}{a^n} = a^{m-n}$.\n\n3. Apply this property to the given expre

1. Problem 36: Find the smallest natural number in 25 consecutive natural numbers whose sum is 1000. Let the smallest number be $x$. Then the numbers are $x, x+1, x+2, \ldots, x+24

1. **State the problem:** Solve the equation $$\log_x 2 \cdot \log_{\frac{x}{16}} 2 = \log_{\frac{x}{64}} 2.$$\n\n2. **Rewrite the logarithms in terms of a common base:** Let $$a =