🧮 algebra

1. The problem asks which numbers are greater than $$-\frac{185}{100}$$. 2. First, convert $$-\frac{185}{100}$$ to decimal: $$-\frac{185}{100} = -1.85$$.

1. The problem is to calculate $8 \times 6 \frac{1}{4}$ using the distributive law. 2. First, convert the mixed number $6 \frac{1}{4}$ to an improper fraction: $$6 \frac{1}{4} = \f

1. The problem asks to match the given numbers with the correct labels a, b, and c on the number line. 2. The points on the number line are:

1. **State the problem:** Factorise fully the expressions $2(x + 5)$ and $50 - 2y^2$. 2. **Factorise $2(x + 5)$:**

1. **State the problem:** Given the equation $$4^m = p(2^{2m-1}) + p$$, show that for $$p \neq 2$$, it can be rewritten as $$m = \frac{1}{2} \log_2 \left( \frac{2p}{2 - p} \right)$

1. Diketahui barisan geometri dengan suku pertama $u_1 = 6$ dan suku ke-5 $u_5 = 96$. 2. Rumus suku ke-$n$ barisan geometri adalah $$u_n = u_1 \times r^{n-1}$$ dengan $r$ adalah ra

1. The problem asks us to match the labels a, b, c with the correct numbers on the number line and the given decimal or fraction values. 2. The number line points are:

1. The problem is to compare and understand the values of the three numbers: the mixed number $1 \frac{1}{3}$, the decimal $1.4$, and the fraction $\frac{127}{100}$.\n\n2. Convert

1. The problem is to simplify the expression $$\frac{x - 1}{5 (x - 1)^2}$$. 2. First, factor the denominator: $$5 (x - 1)^2 = 5 (x - 1)(x - 1)$$.

1. **State the problem:** Calculate the value of $0.2 - \frac{4}{10} - 1.625$. 2. **Convert all terms to decimals:**

1. Stating the problem: We need to find the number that fits in the blank in the equation $$56 + 40 = \square \times (7 + 5)$$. 2. Simplify the left side: $$56 + 40 = 96$$.

1. The problem is to simplify the expression $$\frac{1}{1} - \frac{2}{15} - \frac{1}{36} - \frac{2}{60}$$. 2. First, find the least common denominator (LCD) of the fractions 1, 15,

1. The problem is to calculate $100\% - \frac{9}{10}$.\n2. Convert $100\%$ to a decimal: $100\% = 1$.\n3. Now subtract $\frac{9}{10}$ from $1$: $$1 - \frac{9}{10} = \frac{10}{10} -

1. **State the problem:** Calculate the value of $-1.75 - \frac{22}{20}$.\n\n2. **Convert decimals and fractions:** Note that $-1.75$ is a decimal and $\frac{22}{20}$ is a fraction

1. **State the problem:** We have two drones at points C and D on the ground. The drone at C follows the path $f(x) = -x^2 + 2x + q$, and the drone at D follows $g(x) = mx + 5$. We

1. **State the problem:** We need to find scalars $a$, $b$, and $c$ such that every point $(x,y)$ on the line $ax + by = c$ is equidistant from the points $(2,-1)$ and $(3,2)$. 2.

1. Problem: Simplify the expression $$\frac{2}{5} + \frac{1}{3} + \frac{1}{12} - \frac{2}{180}$$. 2. Find the least common denominator (LCD) of 5, 3, 12, and 180.

1. **State the problem:** Calculate the value of $-1.2 - \frac{29}{20}$.\n\n2. **Convert decimals and fractions to a common form:** Convert $-1.2$ to a fraction. Since $1.2 = \frac

1. The problem is to find the domain of the function $$f(x) = \frac{x - 1}{x^2 + 1}$$. 2. The domain of a function is the set of all real numbers for which the function is defined.

1. The problem is to verify the identity for the square of a sum, which states that $$(a+b)^2 = a^2 + 2ab + b^2.$$\n\n2. Start with the left-hand side (LHS): $$(a+b)^2.$$\n\n3. Exp

1. The problem is to understand the concept of an identity in algebra. 2. An identity is an equation that is true for all values of the variable involved.