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Questions in mathematics

[Terjawab] The KPSS test assumes in the null hypothesis that a series is stationary. Choose one answer: Truth Falsehood

[Terjawab] Determine [tex]D_x\left[\frac{\sqrt[3]{x^2}-x^{-\frac{3}{2}}}{\sqrt{x}}\right][/tex]

[Terjawab] Which statement verifies that [tex]f(x)[/tex] and [tex]g(x)[/tex] are inverses of each other? A. [tex]f(g(x))=x[/tex] B. [tex]f(g(x))=x[/tex] and [tex]g(f(x))=-x[/tex] C. [tex]f(g(x))=\frac{1}{g(f(x))}[/tex] D. [tex]f(g(x))=x[/tex] and [tex]g(f(x))=x[/tex]

[Terjawab] Consider the function [tex]f(x)=x^2+12 x+11[/tex] x-intercepts: [tex] \begin{array}{l} 0=x^2+12 x+11 \\ 0=(x+1)(x+11) \end{array} [/tex] y-intercept: [tex]f(0)=(0)^2+12(0)+11[/tex] What are the intercepts of the function? The [tex]x[/tex]-intercepts are $\square$ The [tex]y[/tex]-intercept is $\square$

[Terjawab] The probability that a company will make a profit this year is 0.78. (a) Find the probability that the company will not make a profit this year. (b) Find the odds against the company making a profit.

[Terjawab] $20 x-4 y=-36$ $y=[?] x+$

[Terjawab] In this equation, find the value of $y$ when $x=1 / 5$. $y=7-5 x$

[Terjawab] Last week, Mario tracked his spending, but did not keep a perfect record of where his money went. Fortunately, Mario does have all but one of his receipts. He enters all of the information he has into his expense spreadsheet as shown below. | | A | B | |---|---------------|----------| | 1 | Transaction | Amount | | 2 | Oil change | $18.95 | | 3 | Gas in car | $20.50 | | 4 | Lunch out | $12.68 | | 5 | Golfing | | | 6 | Total Spent | $87.33 | How much did Mario spend on golfing? A. $35.20 B. $45.20 C. $47.88 D. $143.96

[Terjawab] Which transformations can be used to carry $A B C D$ onto itself? The point of rotation is $(3,2)$. Check all that apply. A. Reflection across the line $y=2$ B. Reflection across the line $x=3$ C. Rotation of $90^{\circ}$ D. Translation two units down

[Terjawab] If [tex]$f(x)=-4 x^2+7 x-15$[/tex], what is [tex]$f(0)$[/tex]?