🧮 algebra

1. The problem asks for the average rate of change of the function $f(x)$ on the interval $-2 \leq x \leq 0$. 2. The average rate of change of a function $f(x)$ over an interval $[

1. The problem asks for the average rate of change of the function $f(x)$ on the interval $-2 \leq x \leq 0$. 2. The average rate of change of a function $f(x)$ over an interval $[

1. 문제를 이해하기: 지난달 다솜이와 고은이의 휴대 전화 요금 합은 60000원입니다. 2. 변수 설정: 지난달 다솜이 요금을 $x$, 고은이 요금을 $y$라고 합시다.

1. 문제를 이해하기: 두 지점 A와 B 사이를 왕복하는데, 갈 때는 시속 4km, 올 때는 시속 5km로 달렸고 총 걸린 시간은 2시간입니다. 두 지점 사이의 거리를 구하는 문제입니다. 2. 변수 설정: 두 지점 사이의 거리를 $d$ km라고 합시다.

1. The problem asks to find the values of $x$ for which $g(x) = 2$ and $g(x) = -3$ given the function $g(x)$ is linear and passes through points $(-1, -1)$ and $(2, 2)$. 2. First,

1. **Problem statement:** Bestimmen Sie einen Funktionsterm 3. Grades, der durch die Punkte $P_1(0, -1)$, $P_2(1, 1)$, $P_3(-1, -7)$ und $P_4(\frac{1}{2}, -\frac{5}{8})$ verläuft.

1. **State the problem:** Joan owes 440 for food and lodging and earns 1.25 for every 10 trees she plants. We need to find how many trees she must plant to break even, meaning her

1. Let's clarify how to get the fraction $\frac{3}{2}$. 2. Suppose you have an equation or expression where you need to solve for a variable or simplify a fraction.

1. The problem asks to write the root expression $7\sqrt{7}$ in index (exponent) form. 2. Recall that the square root of a number $a$ can be written as $a^{\frac{1}{2}}$.

1. **Problem statement:** We want to find a cubic function $f(x) = ax^3 + bx^2 + cx + d$ that passes through the points $P_1(0, -1)$, $P_2(1, 1)$, $P_3(-1, -7)$, and $P_4(\frac{1}{

1. **State the problem:** We need to find the range of house values in the village. The range is the difference between the highest and lowest valuations. 2. **List the valuations:

1. **State the problem:** Solve the expression $$3 \times (-8) \times (-4)$$. 2. **Recall the multiplication rules for negative numbers:**

1. **State the problem:** Mr. Chain has apples where 3 out of 4 are red and the rest are green. He sold half of the total apples. Of the apples sold, 5 out of 6 were red. After sel

1. **State the problem:** Ricky initially had 3 times as much money as Lina. After both spent 180, Ricky had 5 times as much money as Lina. We need to find how much money each had

1. **State the problem:** Simplify the expression $50 + 50 - 25 \times 0 + 2 + 2$. 2. **Recall the order of operations:** Multiplication must be done before addition and subtractio

1. The problem asks to name the fraction shown by the arrow on the number line between 0 and 1, closer to 0. 2. The number line is divided into 4 equal parts between 0 and 1, so ea

1. **State the problem:** Solve the inequality $$-3x + 10 \leq 19$$ for $$x$$. 2. **Isolate the variable term:** Subtract 10 from both sides:

1. **State the problem:** Solve the inequality $$\frac{x}{4} - 1 < 9$$ for $$x$$. 2. **Add 1 to both sides:**

1. **State the problem:** We are given the profit function of a small business:

1. **State the problem:** There are 56 sheep in total, each either white or black. The number of white sheep is 6 times the number of black sheep. We need to find how many black sh

1. **State the problem:** Simplify the expression $$\left( \frac{3\sqrt{8}}{2\sqrt{7}} \right)^2$$. 2. **Recall the formula:** When squaring a fraction, square the numerator and th