🧮 algebra

1. The problem is to find the difference in cost between 300 g of potatoes and 300 g of carrots using the graph. 2. From the graph description, the cost of 500 g of potatoes is jus

1. The first problem asks us to sketch the curve for the function $$y(x) = x^3 - 2x^2.$$ 2. To sketch this curve, we start by finding the key features: intercepts and extrema.

1. The problem asks to find the VAT inclusive total when the VAT exclusive total is 939.13 and VAT rate is 15%. 2. VAT exclusive total means the price before VAT is added.

1. Stating the problem: Simplify and solve the algebraic expressions given for variables A, B, C, D, E, F, G, and the equations with x and y. 2. Simplify A:

1. The problem states: If an object with weight 15 is thrown and another object with weight 66 is thrown 10 times, what is the weight corresponding to 1.5 times? 2. Let's interpret

1. Let's start by stating the problem: Solve the equation $\log_9(3x+2) = \log_3(x+1)$.\n\n2. Recall that logarithms with different bases can be related by changing the base. Since

1. Mari kita nyatakan soal yang diberikan: cari nilai dari $$2\log16 + 3\log72 - 3\log24 - 9\log243 + 9\log81$$. 2. Kita mulai dengan memecah setiap logaritma ke bentuk faktor prim

1. Tutaelewa swali: Kama mtu mwenye uzani wa 100 kg anaangusha kitu (kk) wa kilo 15, halafu mtu mwingine mwenye uzani wa 66 kg anaangusha kitu kilicho na kilo 10, tunataka kujua uz

1. Given the problem states $2 \log 5 = x$ and $25 \log 49 = y$. We want to find the value of $35 \log 175$. 2. First, rewrite the given equations in a simpler form.

1. **State the problem:** We want to determine all vertical asymptotes of the function $$f(x) = \frac{x - 3}{9 - x^2}$$. 2. **Identify where the function is undefined:** Vertical a

1. Tuliskan masalahnya: Hitung nilai dari $$2 \log 16 + 3 \log 72 - 3 \log 24 - 9 \log 243 + 9 \log 81$$. 2. Gunakan sifat logaritma untuk menulisnya menjadi satu logaritma:

1. **Exercice 1 :** 1) Développer et réduire :

**Exercice 1, Partie 1:** 1. Développer et réduire:

1. The problem states that Niall has cycled 4.1 km out of a total distance of 10 km. 2. We need to find the fraction of the total distance that Niall has cycled.

1. **Énoncé du problème :** Calculer et simplifier l'expression suivante : $$3 \times \left(7 + 1 + \frac{2}{4} - 4\right)^3 + 2$$

1. **Problem 21:** Evaluate the piecewise function $$f(x) = \begin{cases} 2x + 5 & \text{if } x \leq 2 \\ 4x + 1 & \text{if } x > 2 \end{cases}$$

1. We are given the function $y = \sin^{-1}(2x)$, which means $y$ is the inverse sine (arcsine) of $2x$. 2. The domain of the arcsine function $\sin^{-1}(z)$ is $-1 \leq z \leq 1$.

1. The problem requires identifying the shaded region that satisfies the inequalities: $$y \leq x, \quad x \leq 4, \quad y \geq 1$$

1. We are asked to expand the expression $$(x+3)(y-4)$$. 2. Use the distributive property (FOIL method) to multiply each term in the first bracket by each term in the second bracke

1. Problem statement: Factorize $1 - 2ab - (a^2 + b^2)$. 2. Expand the parentheses to combine like terms:

1. The problem is to graph the linear equation $y = 3x + 4$. 2. This equation is in slope-intercept form, where the slope $m = 3$ and the y-intercept $b = 4$.