🧮 algebra

1. The problem states a number machine that takes an input $x$, multiplies it by 4, then adds 1 to get $y$. We want to find $y$ for given $x$ values and find $x$ for a given $y$. 2

1. The problem asks for the coordinates of the point where line A and line B intersect. 2. From the graph description, line A passes through points approximately (-4,-3) and (6,2).

1. The problem involves solving for constants $a$ and $b$ in the equations: $$2.5 = a \sqrt{b \times 25} - 5$$

1. **State the problem:** We have two equations: $$2.5 = a \sqrt{b}(10 + 25) - 5$$

1. The problem gives two equations: $$2.5 = a \sqrt{b} (0.25) - 5$$

1. The problem asks to arrange the given answers from least to greatest. 2. Since the image is not visible, please provide the list of numbers or expressions to be arranged.

1. The problem is to arrange a set of numbers or expressions from least to greatest. 2. To do this, first identify all the numbers or expressions you want to order.

1. **State the problem:** Riley wants to estimate the cost to lay a patio shaped like a trapezium with parallel sides 7 m and 4 m, and height 5 m.

1. **State the problem:** Ali has a cylindrical fish tank with height $80$ cm and diameter $40$ cm. We need to find the amount of salt in grams required using the formula:

1. Masalah yang diberikan adalah menghitung hasil dari $\frac{14\%}{75\%}$.\n\n2. Persentase dapat diubah menjadi bentuk desimal dengan membagi angka persentase dengan 100. Jadi, $

1. Masalah yang diberikan adalah menghitung hasil dari $\frac{14\%}{76\%}$.\n\n2. Persentase dapat diubah menjadi bentuk desimal dengan membagi angka persentase dengan 100. Jadi, $

1. The problem is to simplify the expression $$\frac{3^1}{2} \times \frac{3^2}{5}$$ and set it equal to $$\sqrt{3^m}$$. 2. First, simplify the left side by multiplying the numerato

1. **State the problem:** Solve for $X$ in the equation $$X = \frac{9.8 \times 45.7}{2 \times 460 \times 460} (1 + X^2).$$ 2. **Simplify the constants:** Calculate the denominator

1. The problem asks to determine the term $T_n$ of the pattern 4, 9, $x$, 37. 2. First, observe the given terms: $T_1 = 4$, $T_2 = 9$, $T_3 = x$, and $T_4 = 37$.

1. **Problem a:** Rearrange $-3y - 6 = -2\sqrt{7}x - 3$ to solve for $x$. Step 1: Add 3 to both sides:

1. The problem asks to find 100% of 200. 2. Recall that 100% means the whole amount, or 1 in decimal form.

1. **State the problem:** Find the first three terms of the binomial expansion of $\sqrt{1+x}$ where $|x| < 1$. 2. **Recall the binomial expansion formula:** For any real number $\

1. The problem is to find the values of $x$ given the equation or expression that leads to $x = -1$ and $x = -1.5$. 2. Since the values of $x$ are already provided as $-1$ and $-1.

1. The problem is to evaluate the expression $$8^{\frac{1}{3}} \times 9^{\frac{1}{2}}$$ and round the answer to a whole number. 2. First, evaluate each term separately.

1. The statement "Since $n^{1/2} \geq 0$ for real $n$" means the square root of any real number $n$ is always non-negative. 2. The inequality "$-2c \geq 0$" implies that multiplyin

1. **State the problem:** Solve the equation $$3^x = 9^{x+1}$$ for $x$. 2. **Rewrite the bases:** Note that $9$ can be written as $3^2$, so rewrite the right side: