| Topic | Problem | Solution |
|---|---|---|
| None | 7) $6 \mathrm{lbs}$. of mixed nuts containing $28… | First, we calculate the total amount of peanuts in each mixture. In the first mixture, there are $6… |
| None | An investor made an investment and deposited $\$ … | Let the interest rate be r. Then, the first investment grows to $2000(1+r)$ after one year, and the… |
| None | 7) The sum of two nombers is 50 , their prodect i… | Let the two numbers be x and y, such that x + y = 50 |
| None | 1- a) Montrer que : $\forall t \in\left[0,+\infty… | \(\forall t \in\left[0, +\infty\right[\), \text{we have to show that} \frac{1}{(2+t)^{2}} \leq \fra… |
| None | 3. Use the function $f(x)=(x-4)(x+2)$. a. Write d… | Find the zeroes of the function: \(f(x) = (x - 4)(x + 2)\) |
| None | $\begin{array}{l}y=(2 x+1)^{2}-3 \\ y=-x+3\end{ar… | Set the two equations equal to each other: \((2x + 1)^2 - 3 = -x + 3\) |
| None | In 1996, the sports league introduced a salary ca… | In 1996, the sports league introduced a salary cap that limits the amount of money spent on players… |
| None | According to a study, $90 \%$ of K-12 schools or … | The problem is asking for the probability that a school or district both uses digital content and u… |
| None | Solve the given equation by the zero-factor prope… | The given equation is a quadratic equation of the form \(ax^2 + bx + c = 0\). |
| None | 4) $\frac{p-6}{p^{2}-11 p+18} \cdot \frac{p^{2}-1… | Factor the expressions: \(\frac{(p-6)}{(p-9)(p-2)} \cdot \frac{(p-9)(p-3)}{4(p-6)}\) |
| None | 8) $\frac{3}{x-2}+\frac{4 x}{x+1}$ | Find a common denominator: \(\frac{3(x+1)}{(x-2)(x+1)} + \frac{4x(x-2)}{(x+1)(x-2)}\) |
| None | 5) $\frac{2 x^{3}+6 x^{2}}{x^{2}-x-20} \div \frac… | Rewrite the division as multiplication by the reciprocal: \(\frac{2 x^{3}+6 x^{2}}{x^{2}-x-20} \tim… |
| None | Exercice 1 : (4 points ) Soit \( \left(u_{n}\righ… | \( u_{1}=\frac{2 u_{0}}{2 u_{0}+5} \) |
| None | Identify the sample space of the probability expe… | The problem is asking to find the sample space of the probability experiment and determine the numb… |
| None | a) Soit la fonction \( f(z)=\frac{1+z}{1-z} \).ca… | \(\frac{d f}{d z} = \frac{(1 + z)(-1) - (1 - z)(1)}{(1 - z)^{2}}\) |
| None | 4 Chapter 15 chl-squar goodnese of fi (20 points)… | Step 1: Define proportions p1 to p7: \(p_1, p_2, p_3, p_4, p_5, p_6, p_7\) |
| None | \( \log _{7} 49=\log x \) | \( \log _{7} 49 = \log _{7} x \) |
| None | The equation \( y=10 x+15 \) models the amount of… | 1. y=10x+15 |
| None | Find \( (f \circ g)(x) \) and \( (g \circ f)(x) \… | \( (f \circ g)(x) = f(g(x)) \) |
| None | Find \( (f \circ g)(x) \) and \( (g \circ f)(x) \… | \( (f \circ g)(x) = f(g(x)) \) |
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