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4651

The graph above represents inequalities

A. 3x +4y ≥12, x >0, y > 0
B. 3x + 4y\(\leq\) 12, x ≥ 0, y ≥ 0
C. 3x + 4y <12, x \(\leq\) 0, y ≥ 0
D. 3x + 4y < 12, x ≥ 0, y ≥ 0

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4652

Let A = \(\begin{pmatrix}2 & -4 & 3\\5 & 1 & 0\end{pmatrix}\) and B = \(\begin{pmatrix}1 & 4 & -2\\-3 & 3 & -1\end{pmatrix}\). Find A + 2B

A. \(\begin{pmatrix}4 & 4 & -1\\-1 & 7 & -2\end{pmatrix}\)
B. \(\begin{pmatrix}-1 & 4 & -1\\4 & 7 & -2\end{pmatrix}\)
C. \(\begin{pmatrix}4 & 4 & -1\\7 & 7 & -2\end{pmatrix}\)
D. \(\begin{pmatrix}-1 & 7 & -2\\4 & 4 & -2\end{pmatrix}\)

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4653

The sum to infinity of a GP is 100, find its first term if the common ratio is -\(\frac{1}{2}\)

A. 150
B. 155
C. 160
D. 165

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4654

PQR is a triangle such that |PQ| = |QR| = 8cm and QPR = 60º. Find the area of \(\angle\) PQR

A. 16\(\sqrt{3}cm^2\)
B. 16\(\sqrt{2}cm^2\)
C. 8\(\sqrt{3}cm^2\)
D. 16\(\sqrt{2}cm^2\)

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4655

The Venn diagram above shows the number of students offering physics and chemistry in a class of 65. What is the probability that a student selected from the class offers physics and chemistry if every students offers at least one subject?

A. \(\frac{2}{13}\)
B. \(\frac{5}{13}\)
C. \(\frac{2}{5}\)
D. \(\frac{3}{13}\)

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