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🧮 algebra

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Quadratic Linear
1. **State the problem:** We have a quadratic function $g(x) = ax^2 + q$ with x-intercepts $R$ and $S(2,0)$, and y-intercept $T(0,8)$. A linear function $f(x) = mx + c$ passes thro
Solve Linear
1. The problem is to solve the equation $$2x + 3 = 7$$ for $x$. 2. Start by isolating the variable term $2x$ on one side. Subtract 3 from both sides:
Solve Quadratic
1. Stating the problem: Solve the equation $x^2 + 1 = 0$ for $x$. 2. Isolate the term with $x$: Subtract 1 from both sides to get
Solve Quadratic
1. The problem is to solve the equation $x^2 + 1 = 0$ for $x$. 2. Start by isolating $x^2$: subtract 1 from both sides to get
Solve Quadratic
1. Stating the problem: Solve the equation $x^2 + 1 = 0$ for $x$. 2. Isolate the term with $x$: Subtract 1 from both sides to get
Number Machine
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
Line Intersection
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).
Solve Constants
1. The problem involves solving for constants $a$ and $b$ in the equations: $$2.5 = a \sqrt{b \times 25} - 5$$
Solve System
1. **State the problem:** We have two equations: $$2.5 = a \sqrt{b}(10 + 25) - 5$$
Solve Equations
1. The problem gives two equations: $$2.5 = a \sqrt{b} (0.25) - 5$$
Arrange Numbers
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.
Arrange Order
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.
Patio Cost
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.
Saltwater Tank
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:
Persentase Pembagian
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, $
Persentase Pembagian
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, $
Exponent Equation
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
Solve Quadratic
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
Pattern Tn
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 $T_4 = 37$.
Rearrange Equations
1. **Problem a:** Rearrange $-3y - 6 = -2\sqrt{7}x - 3$ to solve for $x$. Step 1: Add 3 to both sides:
Percent Of
1. The problem asks to find 100% of 200. 2. Recall that 100% means the whole amount, or 1 in decimal form.