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Questions in mathematics

[Done] A salesperson earns $200 a week plus a 4% commission on her sales. Which equation models the relationship between her sales in a given week, $s$, and her weekly earnings, $e$? A. [tex]e=\frac{200 s+4}{100}[/tex] B. [tex]e=200 s+4[/tex] C. [tex]e=4 s+200[/tex] D. [tex]e=\frac{4}{100} s+200[/tex]

[Done] Write -0.97 as a fraction.

[Done] [tex]$\sum_{n=1}^{\infty} \frac{2^n(x-5)^n}{n^2}$[/tex]

[Done] Find the horizontal asymptote of the function $\frac{(x-1)(x-3)^2(x+1)^2}{(x-2)(x+2)(x-1)(x+3)}$. A. $y=1$ B. none C. $x=0$ D. $y=0$

[Done] Solve $22.83 \times 10^4=$

[Done] The standard deviation of 100 random samples of the same size is approximated to be 0.98. What is the margin of error?

[Done] Use long division to find the quotient below. $\left(x^2+14 x+48\right)-(x+8)$ A. $x+6$ B. $x-6$ C. $x-40$ D. $x+40$

[Done] If [tex]f(x)=2 x^2+5 \sqrt{(x-2)}[/tex], complete the following statement: [tex]f(6)=[/tex]

[Done] Reflecting the graph of y = cos x across the y-axis is the same as not reflecting it at all. A. True B. False

[Done] 1. Identify whether or not each relation is a function. a. {(2,3), (4,5), (6,6)} b. {(4,5), (4,6), (5,5), (5,6)} c. {(6,7), (6,8), (7,7), (7,8)} 2. Evaluate each function at the indicated values of the independent variable and simplify the result. a. f(x) = 9 - 6x; 1. f(-1) 2. f(1) 3. f(-3 + x) b. g(x) = x^2 - 4x; 1. g(2) 2. g(2 - x) 3. Find (f + g)(x), (f - g)(x), (f ยท g)(x) and (f/g)(x). f(x) = 3x + 4; g(x) = 2x - 1