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Questions in mathematics

[Terjawab] Given: [tex]f(x)=\frac{3}{x}[/tex] Determine [tex]f^{\prime}(x)[/tex] from first principles.

[Terjawab] Combine like terms: [tex]$5 x+7+4 x-3+5 y-8+7 y$[/tex]

[Terjawab] Use the following compound interest formula to complete the problem. [tex]$A=P\left(1+\frac{r}{n}\right)^{nt}$[/tex] You currently have two credit cards, H and I. Card H has a balance of [tex]$1,186.44[/tex] and an interest rate of [tex]$14.74 \%$[/tex], compounded annually. Card I has a balance of [tex]$1,522.16[/tex] and an interest rate of [tex]$12.05 \%$[/tex], compounded monthly. Assuming that you make no purchases and no payments with either card, after three years, which card's balance will have increased by more, and how much greater will that increase be? A. Card I's balance increased by [tex]$53.16[/tex] more than Card H's balance. B. Card I's balance increased by [tex]$13.45[/tex] more than Card H's balance. C. Card I's balance increased by [tex]$35.61[/tex] more than Card H's balance. D. Card H's balance increased by [tex]$49.06[/tex] more than Card I's balance. Please select the best answer from the choices provided.

[Terjawab] Function $g$ is represented by the table. | $x$ | -1 | 0 | 1 | 2 | 3 | 4 | | :---- | :---- | :---- | :---- | :---- | :---- | :---- | | $g(x)$ | 24 | 6 | 0 | -2 | $-2 \frac{2}{3}$ | $-2 \frac{8}{9}$ | Which statement correctly compares the two functions? A. They have different end behavior as $x$ approaches $-\infty$ but the same end behavior as $x$ approaches $\infty$. B. They have different end behavior as $x$ approaches $-\infty$ and different end behavior as $x$ approaches $\infty$. C. They have the same end behavior as $x$ approaches $-\infty$ but different end behavior as $x$ approaches $\infty$. D. They have the same end behavior as $x$ approaches $-\infty$ and the same end behavior as $x$ approaches $\infty$.

[Terjawab] Which statement best describes the equation $(x+5)^2+4(x+5)+12=0$? A. The equation is quadratic in form because it can be rewritten as a quadratic equation with $u$ substitution $u=(x+5)$. B. The equation is quadratic in form because when it is expanded, it is a fourth-degree polynomial. C. The equation is not quadratic in form because it cannot be solved by using the quadratic formula. D. The equation is not quadratic in form because there is no real solution.

[Terjawab] A puffin leaves a cliff and flies 33 km due east then 52 km due north to an island. Work out the bearing from the cliff to the island. Give your answer to the nearest degree.

[Terjawab] What is the standard form for the power of 10 below? [tex]$10^4$[/tex]

[Terjawab] Check all that apply. If [tex]$\sin \theta=\frac{15}{17}$[/tex], then: A. [tex]$\tan \theta=\frac{15}{8}$[/tex] B. [tex]$\csc \theta=\frac{17}{15}$[/tex] C. [tex]$\sec \theta=\frac{17}{8}$[/tex] D. [tex]$\cos \theta=\frac{17}{8}$[/tex]

[Terjawab] Angle ABC is a right triangle and [tex]$\cos \left(22.6^{\circ}\right)=\frac{b}{13}$[/tex]. Solve for [tex]$b$[/tex] and round to the nearest whole number. Which equation correctly uses the value of [tex]$b$[/tex] to solve for [tex]$a$[/tex]? [tex]$\tan \left(22.6^{\circ}\right)=\frac{a}{13}$[/tex] [tex]$\tan \left(22.6^0\right)=\frac{13}{a}$[/tex] [tex]$\tan \left(22.6^{\circ}\right)=\frac{a}{12}$[/tex] [tex]$\tan \left(22.6^{\circ}\right)=\frac{12}{a}$[/tex]

[Terjawab] the screenshot is my question