| Topic | Problem | Solution |
|---|---|---|
| None | Solve the inequality $15 x+1>3(5 x+1)-x+6$ and se… | First, simplify the inequality by distributing the 3 on the right side of the inequality and then c… |
| None | Solve the following inequality and graph the solu… | First, we need to simplify the inequality by distributing the 5 on the left side and then moving al… |
| None | Solve the inequality and graph the solution set o… | Start with the inequality \(3x - 4 > -x + 20\). |
| None | Solve the inequality $10 x+7 \leq 9 x+8$ and sele… | Subtract $9x$ from both sides of the inequality $10x + 7 \leq 9x + 8$ to get $x + 7 \leq 8$ |
| None | Solve the inequality $-5 x<35$ and select the gra… | To solve the inequality $-5x < 35$, we need to isolate $x$ by dividing both sides of the inequality… |
| None | Solve the following inequality and graph the solu… | The given inequality is \(3x \geq -15\). |
| None | 10. [-/1 Points] MY NOTES ASK YOUR TEACHER PRACTI… | We are given the equation \(x^{2}+y^{2}+z^{2}=9\) and the rates of change of \(x\) and \(y\) with r… |
| None | When a number is decreased by $20 \%$ of itself, … | Let's denote the number we are looking for as x. According to the problem, x decreased by 20% of it… |
| None | A cylindrical tank with radius $4 \mathrm{~m}$ is… | Given that the volume of the water is increasing at a rate of $3 m^3/min$, we need to find how fast… |
| None | If $h$ is the water's height, the volume of the w… | The question is asking for the derivative of the volume with respect to time. We know that the volu… |
| None | Simplify the algebraic expression. \[ 6-2[5-(2 y-… | Distribute the negative sign inside the brackets by multiplying each term inside the brackets by -2… |
| None | Simplify the algebraic expression. \[ 3\left(-4 x… | Distribute the 3 in the first term and the negative sign in the second term to get \(-12x^{2} + 15x… |
| None | Simplify the given algebraic expression. \[ 7(2 y… | The given expression is a linear combination of terms. To simplify it, we need to distribute the mu… |
| None | Simplify the given algebraic expression. \[ 6(9 y… | Distribute the 6 to both terms inside the first parentheses: \(6 * 9y - 6 * 3\) |
| None | (a) If $A$ is the area of a circle with radius $r… | The area of a circle is given by the formula \(A = \pi r^2\). We are asked to find \(\frac{d A}{d t… |
| None | Tutorial Exercise The length of a rectangle is in… | The area of a rectangle is given by the product of its length and width. The rate of change of the … |
| None | The length of a rectangle is increasing at a rate… | The area of a rectangle is given by the formula \(A = lw\), where \(l\) is the length and \(w\) is … |
| None | Simplify the given algebraic expression. \[ 2(9 x… | Given the algebraic expression \(2(9 x-7)+15 x\). |
| None | Simplify the algebraic expression. \[ 5(5 x+2)-7 … | Distribute the 5 across the terms inside the parentheses: \(5(5x+2) = 25x + 10\) |
| None | Simplify the algebraic expression. \[ 2(3 x-7) \]… | The given expression is \(2(3x - 7)\). |
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