| Topic | Problem | Solution |
|---|---|---|
| None | Use the probability distribution to complete part… | The probability distribution of the number of televisions per household in a small town is given as… |
| None | The shape of \( y=x^{2} \), but upside-down and v… | \( f(x)=-5x^{2} \) |
| None | Determine algebraically whether the graph is symm… | Replace y with -y in equation x^2 + 2y^4 = 5: (x^2 + 2(-y)^4 \text{ unchanged }) |
| None | Describe how the graph of \( g(x)=x-10 \) can be … | A. Start with the graph of \( y=x \). Shift it down 10 units. |
| None | Describe how the graph of \( g(x)=x-3 \) can be o… | Start with the graph of \( y = x \). |
| None | The point \( (-12,7) \) is on the graph of \( y=f… | \(y = f(x)\) |
| None | \( -9<6+3 x \leqslant 12 \) | \( -9 < 6 + 3x \leqslant 12 \) |
| None | Find the general antiderivative of $f(x)=-3 x^{3}… | We are given the function \(f(x)=-3 x^{3}+\frac{6}{x^{5}}-6 \sqrt{x}\) and we are asked to find its… |
| None | Select all the true statements about the graph of… | To find the y-intercept, plug in x=0: \(f(0) = -4(0)^2 - 40(0) = 0\). So, the point (0, 0) is where… |
| None | Question 4 A diver followed a path defined by $h(… | The maximum height the diver reached can be found by finding the maximum point of the quadratic fun… |
| None | Giving a test to a group of students, the grades … | Given a test to a group of students, the grades and gender are summarized below: \begin{tabular}{… |
| None | \begin{tabular}{|l|l|} \hline Therefore the verte… | Given the parabola $f(x)=-2 x^{2}+4 x+5$, we are asked to find the vertex and x-intercepts. |
| None | Use the given information to find the exact value… | Given that \(\cos \theta = \frac{6}{10}\) and \(\theta\) lies in quadrant IV, we can find the value… |
| None | The function \( h(t)=4+64 t-16 t^{2} \) models th… | The vertex of a quadratic function in the form \( f(t)=a t^{2}+b t+c \) can be found by the formula… |
| None | For the given functions, find \( (f \circ g)(x) \… | \( (f \circ g)(x) = f(g(x)) \) |
| None | $\cos \theta=\frac{6}{10}, \theta$ lies in quadra… | The cosine function is positive in the fourth quadrant, so the given condition is satisfied. Howeve… |
| None | Find \( (f \circ g)(x) \) and \( (g \circ f)(x) \… | \( (f \circ g)(x) = f(g(x)) = f(2x^2 - 7x - 4) \) |
| None | Solve the equation by using the square root prope… | Given the equation \(50-t^{2}=0\) |
| None | Given that \( h(x)=x^{4} \), find \( (h \circ h)(… | \( (h \circ h)(x) = h(h(x)) \) |
| None | 4 Circle the letter of each true statement below.… | a. False: An obtuse triangle has one obtuse angle and two acute angles. |
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