| Topic | Problem | Solution |
|---|---|---|
| None | $\lim _{x \rightarrow 0}\left(\frac{1}{x(x+1)}-\f… | First, we find the derivatives of the functions in the numerator and denominator: |
| None | 3. Shoji invested $\$ 7000$, part at $9 \%$ inter… | Let the amount invested at 9% be \(x\) and the amount invested at 6% be \(y\). |
| None | 2 - Calcule o menor complementar do elemento a23 … | Remove the second row and third column from the matrix: \[ A_{minor} = \left[\begin{array}{ccc} 0 &… |
| None | The graph of $y=2^{x}$ is the solid black graph b… | Identify the transformation between the solid black graph and the dotted graph |
| None | (2) Complete $\mathrm{com}>,<\mathrm{ou}=$. a) $1… | \(10^3 \leq 10^6 \Rightarrow \mathrm{com}>\) |
| None | e) 0,0000000001 $10^{-10}$ f) 0,0000001 $10^{-4}$ | Convert the given decimal numbers into scientific notation: |
| None | 1. Simplify $\frac{\left(x^{3}+x\right) \sinh \le… | Rewrite the expression using natural logarithm notation (ln) instead of log base e: \(\frac{\left(x… |
| None | 6. If $2 x-5<x+4$, which of the following is true… | Solve the inequality: \(2x - 5 < x + 4\) |
| None | D) $x$ can be all real numbers 7. If $x+6 \geq 5 … | Solve the inequality \(x+6 \geq 5x-2\) for \(x\) |
| None | $\mathbb{P} P=5 D^{1} \cdot \frac{(1+i)^{2} i}{(1… | Given values: \(D = 1\), \(i = 1\), and \(N = 5\) |
| None | Calculate $0 . \dot{2} \times 0 . \dot{5} \dot{4}… | \(x = 0.\overline{2}\) |
| None | Use your calculator to find the missing value in … | \(\frac{4.8}{15} = \frac{n}{10}\) |
| None | Determine whether the following proportion is tru… | Check if the cross products are equal: \(5 \times 35 = 8 \times 20\) |
| None | Find the length of the segment indicated. Round y… | Draw the triangle and label the points of interest. |
| None | Use the graph of the quadratic function $f(x)=a(x… | The vertex of the quadratic function is given by the point \((h, k)\). |
| None | Find a polynomial function of degree 3 with real … | Given the zeros of the polynomial function: \(-1, 2, -5\) |
| None | b) Expand and simplify $2 x(3 x-5)+x(x-1)$ | Expand the given expression: \(2x(3x-5)+x(x-1) = 2x(3x) - 2x(5) + x(x) - x(1)\) |
| None | A bag contains three types of counter: purple squ… | Let P be the number of purple counters, T be the number of triangular counters, and S be the number… |
| None | 2. In rhombus $\mathrm{JKLM}, \mathrm{JK}=3 \math… | Set up the equation: 3x + 9 = 11x - 7 |
| None | James covers a distance of 8 meters in the first … | James covers a distance of \(8\) meters in the first second and then sprints at a speed of \(9\) me… |
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