Tema
Q:
Scientific methods are a process of objectively establishing facts through testing and experimenta-
tion and analysing the results to draw a conclusion. Produce a brief report defining 'Scientific
Methods' and then provide a typical example of the application of a scientific method (for example
developing new materials).
Q:
Multiple Choice 10 points
Which expression, in vertex form, is equivalent to \( f(x)=(x-3)(x+7) \) ?
\( \begin{array}{l}f(x)=(x-2)^{2}+25 \\ f(x)=(x-2)^{2}-4 \\ \begin{array}{l}f(x)=(x+2)^{2}-25 \\ f(x)=x^{2}+4 x-21\end{array}\end{array} \begin{array}{l}\qquad\end{array} \)
Q:
1. Multiple Choice 10 points
Which expression, in factored form, is equivalent to \( f(x)=3(x-3)^{2}-12 \) ?
\( \begin{array}{l}f(x)=3(x-1)(x-5) \\ f(x)=3 x^{2}-18 x+15 \\ f(x)=3(x-2)(x-3) \\ f(x)=3(x+1)(x+5)\end{array} \)
Q:
An art museum opens at 9 a.m. and closes at 5 p.m. The function \( V \) gives the number of
visitors in a museum \( h \) hours after it opens.
1. Explain what this statement tells us about the situation: \( V(1.25)=28 \).
Q:
10) \( \frac{6}{2 x^{2}-50} \cdot \frac{x^{2}+11 x+30}{x-10} \div \frac{x^{2}+16 x+60}{4 x^{3}-400 x} \)
Q:
d/ \( -b-(-6 b+7) \)
Q:
Factor and simplify. \( \begin{array}{r}\sin ^{4} x-\cos ^{4} x \\ \sin ^{4} x-\cos ^{4} x=\square \text { (Simplify your answer.) }\end{array} \)
Q:
2. \( \sqrt{4 a^{2} b^{4}}=\left(4 a^{2} b 4\right)^{\frac{1}{2}} \)
Q:
h) \( f(x)=(1-\ln x) /(1+\ln x) \)
Q:
) \( 3^{2 x} \cdot 3^{x}=3^{1} \)
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