| Topic | Problem | Solution |
|---|---|---|
| None | $\begin{array}{l}y=a x^{2}+b x+c \\ 2=a(0)^{2}+b(… | Given the quadratic equation: \(y = ax^2 + bx + c\) and the point \((0, 2)\) on the curve. |
| None | Revise for Enut of Vaar Mock ind $\int \frac{5 x^… | Given the function: \(\frac{5x^4 - 7}{3x^3}\) |
| None | A 25- $\mathrm{ft}$ ladder is leaning against a h… | We are given that the ladder is 25 ft long and the base is moving away from the wall at a rate of 1… |
| None | $\sqrt{(x-4)^{3}}-125=0$ | \(\sqrt{(x-4)^{3}}-125=0\) |
| None | Question 15 Find the inverse of the one-to-one fu… | Let $y = -3x - 6$. Then $y = -3x - 6$ |
| None | Question 40 Solve the equation using the quadrati… | Given the quadratic equation: \(3x^2 + x - 5 = 0\) |
| None | Question 41 The graph of an exponential function … | First, we need to analyze the given exponential functions and their graphs. |
| None | Find the vertical asymptotes, if any, of the grap… | Find the values of x for which the denominator is equal to zero: \(x^2 - 4 = (x - 2)(x + 2)\) |
| None | Find the horizontal asymptote, if any, of the gra… | Compare the degrees of the numerator and denominator. In this case, both degrees are equal (both ar… |
| None | Question 37 Given functions $f$ and $g$, determin… | Given functions $f(x)=3x-4$ and $g(x)=5x+3$ |
| None | Given functions $f$ and $g$, determine the domain… | Given functions $f$ and $g$, determine the domain of $f+g$. \[f(x)=3 x-4, \quad g(x)=5 x+3\] |
| None | For the given functions $f$ and $g$, find the ind… | Find the composition of the functions: \(f(g(x))\) |
| None | Find the domain of the function. \[ f(x)=5 x+3 \]… | To find the domain of the function, we need to determine the possible values of x for which the fun… |
| None | Write the equation in its equivalent exponential … | Write the equation in its equivalent exponential form: $\log _{b} 216=3$ |
| None | Your class is given the option of choosing a day … | To find the total number of students who voted in the election, we need to add up the number of vot… |
| None | Fill in each blank so that the resulting statemen… | The question is asking for the specific terms used to describe a certain type of ballot and a certa… |
| None | Graph the ralional function. \[ \text { (i) } \fr… | First, we need to find the domain of the function. The function is defined when the denominator is … |
| None | Find the domain of the logarithmic function. \[ f… | Find the domain of the logarithmic function: \(f(x)=\ln (8-x)\) |
| None | Your class is given the option of choosing a day … | From the preference table, we can see that 2 students selected Monday as their first choice for the… |
| None | Find the inverse of the one-to-one function. \[ f… | Given function: \(f(x) = -3x - 6\) |
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