2000004309
Level:
C
The function \(f\) is graphed in the picture. Which of the following is its equation?
\( f(x) =- \left|x^2-4\right|\)
\( f(x) = -\left|x^2+4\right|\)
\( f(x) = -\left|x^2\right|-4\)
\( f(x) = -\left|x^2\right|+4\)
C
2000004308
Level:
C
The function \(f\) is graphed in the picture. Which of the following is its equation?
\( f(x) = \left|x^2-4x\right|\)
\( f(x) = \left|x^2+4x\right|\)
\( f(x) = \left|x^2\right|-4x\)
\( f(x) = \left|x^2\right|+4x\)
2000004307
Level:
C
The function \(f\) is graphed in the picture. Which of the following is its equation?
\(f(x) = \left|x^2-4\right|\)
\(f(x) = \left|x^2+4\right|\)
\(f(x) = \left|x^2-2\right|\)
\(f(x) = \left|x^2\right|+4\)
2000004204
Level:
C
Choose the function that has its graph shown in the picture.
\( f(x)=2-|\sin x|\)
\( f(x)=2+|\sin x|\)
\( f(x)=|\sin x|-2\)
\( f(x)=|\sin 2x|\)
2100004203
Level:
C
Which of the graphs is the graph of the function \(f(x)=|1+\cos x|\)?
2000004202
Level:
C
On the interval \( (-\frac{\pi}{2};\frac{\pi}{2})\), simplify the expression \(\frac{\sin 2x}{1 -\sin^2 x}\).
\( 2\ \mathrm{tg}\,x\)
\(\mathrm{tg}\,x\)
\( \mathrm{tg}^2\,x\)
\( 1-\mathrm{tg}\,x\)
2000004201
Level:
C
On the interval \( (0;\pi)\), simplify the expression \(\frac{2\sin x + \sin 2x}{2\sin x -\sin 2x}\).
\(\frac{1+\cos x}{1-\cos x}\)
\(\frac{1-\cos x}{1+\cos x}\)
\( 1+\cos x\)
\( 1-\cos x\)
2000003411
Level:
C
Two dice are thrown, white and red. What is the probability that the white dice shows three, if the sum on both dice is four?
\( \frac{1}{3}\)
\( \frac{1}{6}\)
\( \frac{1}{4}\)
\( \frac{1}{9}\)
2000003410
Level:
C
Today, there are \(11\) boys and \(9\) girls in the class, including Caroline. What is the probability of Caroline being examined if the teacher selects a girl?
\( \frac{1}{9}\)
\( \frac{1}{20}\)
\( \frac{9}{20}\)
\( \frac{9}{11}\)
2000003405
Level:
C
Statistics show that \(80\%\) of working women use a computer at work. Let’s randomly select two women from the group of working women. What is the probability that both women use a computer at work?
\( 0.64\)
\( 0.8 \)
\( 0.16 \)
\( 0.32\)