| Topic | Problem | Solution |
|---|---|---|
| None | Question 7 (1 point) Use the discriminant to dete… | Given the quadratic equation \(x^{2}+7x-2=0\), we can identify the coefficients as \(a = 1\), \(b =… |
| None | $5 \times 9=$ | Esta é uma simples questão de multiplicação. Podemos resolvê-la diretamente multiplicando 5 por 9. |
| None | $\begin{array}{l}f(x)=\left\{\begin{array}{lc}-x-… | A função f(x) é definida por partes, com diferentes expressões para diferentes intervalos de x. Par… |
| None | An employee's monthly productivity $M$, in number… | An employee's monthly productivity $M$, in number of units produced, is found to be a function of t… |
| None | Find $f$ such that $f^{\prime}(x)=10 x-3, f(2)=0$… | The problem is asking for a function \(f(x)\) such that its derivative \(f'(x)\) is equal to \(10x … |
| None | Suppose a life insurance company sells a $\$ 240,… | Let's denote the profit that the insurance company makes from selling the policy as a random variab… |
| None | In a test of the effectiveness of garlic for lowe… | Given that the sample mean (\(\bar{x}\)) is 4.6, the sample standard deviation (s) is 16.7, the sam… |
| None | The data below represent commute times (in minute… | Given the commute times (in minutes) and scores on a well-being survey, we are asked to predict the… |
| None | Solve the system by the substitution method. \[ \… | The system of equations can be solved by substitution method. Here, the second equation is already … |
| None | Solve the system by the substitution method. \[ \… | The system of equations is given as: \[\begin{array}{r} x+y=-12 \\ y=-4 x \end{array}\] |
| None | Suppose that $x$ and $y$ are related by the given… | Given the equation \(x^{7} y+y^{7} x=9\), we need to find \(\frac{d y}{d x}\). |
| None | Plot the intercepts to graph the equation. \[ 8 x… | Plot the intercepts to graph the equation \(8x - 2y = -8\). |
| None | The admission fee at an amusement park is $\$ 3.7… | Let's denote the number of children as x and the number of adults as y. We know that the total numb… |
| None | possible The given point is on the curve. Find th… | We are given the curve \(6 x^{2}+7 x y+2 y^{2}+13 y-6=0\) and the point \((-1,0)\). We are asked to… |
| None | Let $g(x)=x+6$. Find $f(x)$ so that $h(x)=(f \cir… | Given that $h(x)=(f \circ g)(x)=\sqrt{x+6}+5$, we want to find $f(x)$. |
| None | A garden shop determines the demand function $q=D… | Given the demand function \(q=D(x)=\frac{2 x+200}{10 x+11}\), where \(q\) is the number of plants s… |
| None | Find the derivative of $y$ with respect to $x$. \… | Given the function \(y=\log _{2}\left(\left(\frac{x+7}{x-7}\right)^{\ln 2}\right)\) |
| None | Find the derivative of the function $y=(4 x+5)^{4… | Given the function \(y=(4 x+5)^{4}(3 x+1)^{-2}\) |
| None | Use finite approximation to estimate the area und… | Divide the interval [0,2] into two equal subintervals [0,1] and [1,2] for the lower sum with two re… |
| None | Find the derivative of the given function. \[ q=\… | We are given the function \(q=\sin \left(\frac{t}{\sqrt{t+2}}\right)\) and we are asked to find its… |
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