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Questions in mathematics

[Jawaban] If the 3rd term in an arithmetic sequence is 9 and the common difference is -3, what is the 6th term of the sequence? Options: 0 18 3 12 6

[Jawaban] Consider the following function. f(x) = 12x² - 4x + 7 + ln(x) Step 1 of 3: Determine a formula for f''(x). Answer: f''(x) =

[Jawaban] Consider the explicit formulas for two sequences. [tex] \begin{array}{l} f(n)=2^{(n-1)}-1 \\ g(n)=3 n+6 \end{array} [/tex] Which mathematical statement is correct? A. [tex]$g(6)\ \textgreater \ f(6)$[/tex] B. [tex]$f(5)\ \textless \ g(3)$[/tex] C. [tex]$f(7)\ \textgreater \ g(10)$[/tex] D. [tex]$g(8)=f(5)$[/tex]

[Jawaban] Graph this function: [tex]f(x)=\frac{3}{4} x-2[/tex]

[Jawaban] Graph the polynomial function $f(x)=-2(x-1)^2\left(x^2-16\right)$ using parts (a) through (e). (a) Determine the end behavior of the graph of the function. The graph of $f$ behaves like $y=-2 x^4$ for large values of $|x|$. b) Find the $x$ - and $y$-intercepts of the graph of the function. he $x$-intercept(s) is/are $-2,-1,2$. implify your answer. Type an integer or a fraction. Use a comma to separate answers as

[Jawaban] Place the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of change on the interval $[0,3]$. [tex]f(x)=16(\frac{1}{2})^x[/tex] [tex]g(x)[/tex] | x | g ( x ) | | -1 | 81 | | 0 | 27 | | 1 | 9 | | 2 | 3 | | 3 | 1 | [tex]h(x)[/tex] [ ] [tex]f(x)[/tex] [ ] [tex]h(x)[/tex] [ ] [tex]g(x)[/tex]

[Jawaban] A circle centered at the origin contains the point $(0,-9)$. Does $(8, \sqrt{17})$ also lie on the circle? Explain.

[Jawaban] What is the volume of a cube with side length [tex]$3 t^8$[/tex]?

[Jawaban] Use the compound-interest formula to find the account balance A, where P is principal, r is interest rate, n is number of compounding periods per year, t is time in years, and A is account balance. | P | r | compounded | t | | --------- | ------- | ---------- | - | | $10,327 | 2.8 % | Daily | 4 | The account balance is approximately $ [ ]. (Simplify your answer. Do not round until the final answer. Then round to two decimal places as needed.)

[Jawaban] Calculate [tex]$4 \div \frac{5}{7}$[/tex] Give your answer as a fraction in its lowest terms.