🧮 algebra

1. The problem asks to match the equation $y=5x$ with its corresponding graph. 2. The equation $y=5x$ is a linear equation representing a straight line passing through the origin.

1. We are asked to simplify or analyze the function $$y=\frac{2x^4 \tan x}{e^{2x} \sin x}$$. 2. Recall that $$\tan x = \frac{\sin x}{\cos x}$$, so substitute this in to rewrite the

1. We are given the function $$y = x(x - 1)$$ and the domain $$\{-2, -1, 0, 1, 2\}$$. 2. To find the range, substitute each value from the domain into the function and calculate th

1. We are asked to find the value of $h$ in the equation $$(19^3)^{-8} = 19^h.$$ 2. Recall the exponent rule: $$(a^m)^n = a^{m \cdot n}.$$

1. **State the problem:** We need to find the value of $f$ in the equation $$15^4 - 7 = 15^f.$$\n\n2. **Evaluate the left side expression:** Calculate $15^4$.\n$$15^4 = 15 \times 1

1. The problem asks to find the value of the function $f(x)$ at $x = -2.3$ given the function $f(x) = 12$. 2. Since $f(x) = 12$ is a constant function, it means that for every inpu

1. **State the problem:** Solve for $f$ in the equation $$154 - 7 = 15f.$$\n\n2. **Simplify the left side:** Calculate $154 - 7$.\n$$154 - 7 = 147.$$\n\n3. **Rewrite the equation:*

1. We are asked to find the value of $10,000^{\frac{3}{4}}$. 2. First, express $10,000$ in terms of powers of 10: $10,000 = 10^4$.

1. The problem is to analyze the function $y = x^4$ and understand its properties. 2. This function is a polynomial of degree 4. It is even because $y(-x) = (-x)^4 = x^4 = y(x)$.

1. Stating the problems: We have two separate problems to solve:

1. The problem gives us the expression $$\frac{6R - 18}{3(1 + R)} \div (k - 3).$$ 2. First, simplify the fraction $$\frac{6R - 18}{3(1 + R)}.$$ Factor the numerator: $$6R - 18 = 6

1. Mari kita tulis ulang persamaan yang diberikan: $$x^2 y^2 x - y = \frac{1}{2} 642 y^8.$$\n2. Sederhanakan bagian kiri persamaan: $$x^2 \cdot y^2 \cdot x = x^3 y^2,$$ jadi persam

1. We start with the equation to solve for $x$: $$16^{3x - 2} = \left(\frac{1}{4}\right)^{5 - x}$$

1. **State the problem:** We need to find the binomial expansion of the function $$\sqrt{1 + x}$$ up to the $$x^4$$ term. 2. **Recall the binomial series formula:** For any real nu

1. Let's assume the problem you refer to involved calculating or deriving the number 2,754,000. 2. To understand how this number was obtained, we need to examine the final step or

1. The problem asks us to describe what raising a number to a power means and explain the difference between $-7^2$ and $(-7)^2$. 2. Raising a number to a power means multiplying t

1. State the problem: We need to find how many peanuts are required to make 5.1 kg of peanut butter, given that 540 peanuts make 340 g of peanut butter. 2. Convert 5.1 kg to grams

1. The problem is to solve the equation $4^{x^2-\frac{5x}{7}}=16^{\frac{1}{7}}$ for $x$. 2. Rewrite the bases as powers of 2: $4=2^2$ and $16=2^4$, so the equation becomes

1. **Calculer:** 1) $\sqrt{2} \sqrt{64} = \sqrt{2 \times 64} = \sqrt{128} = \sqrt{64 \times 2} = 8\sqrt{2}$.

1. **State the problem:** We are asked to find the first four terms of the sequence given by $$u_n = 2 + (-1)^n$$ for $$n = 1, 2, 3, 4$$. 2. **Recall the sequence formula:** $$u_n

1. The problem asks for the first four terms of a sequence, with four given options: A (1, -3, 1, -3), B (3, 1, 3, 1), C (1, 3, 1, 3), and D (-1, 3, -1, 3). 2. To determine the cor