Zusammenfassung der Ressource
Frage 1
Frage
\( \rm{Solve} \)
\[y=x^2 - 5x - 6 \]
\(\rm{for \ x}, \ when \ y \ = \ 0 \)
Antworten
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\(x = -1, 6 \)
-
\(x = 1, -6 \)
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\(x = -3, -2 \)
-
\(x = 2, 3 \)
Frage 2
Frage
\(\rm{ Factorise} \)
\[2x^2 - 2x - 12 \]
Antworten
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\( (2x+4)(x-3) \)
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\( (2x+3)(x-4) \)
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\( (2x+4)(2x-3) \)
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\( (2x-4)(x+3) \)
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\( (x+2)(x-6) \)
Frage 3
Frage
\( \rm{ Using \ the \ quadratic \ formula, \ calculate \ the \ roots \ of:} \)
\[0=3x^2 + 7x -1 \]
Antworten
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\( x= -2.47, \ 0.135\)
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\(x=-2.18, \ -0.15\)
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\( x=-0.4, \ 14.8 \)
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\( x = 0, \ 14 \)
Frage 4
Frage
\( \rm{Find \ the \ points \ of \ intersection \ of \ the \ lines:}\)
\[y=2x-1\]
\(\rm{and}\)
\[y=x^2+2x-10 \]
Antworten
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\( (-3,-7) \rm{and} (3,5) \)
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\( (-3,5) \rm{and} (3,7) \)
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\( (-1,-3) \rm{and} (1,1) \)
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\(\rm{They \ don't \ intersect} \)
Frage 5
Frage
\( \rm{A \ ball \ is \ kicked \ on \ a \ low \ gravity \ asteroid, \ where \ g=2ms^{-2}. \ It \ has \ an \ initial \ vertical \ velocity \ of \ v_0=4ms^{-1}} \)
\( \rm{and \ reaches \ a \ peak \ height \ of \ 4m. \ How \ much \ time \ passes \ to \ reach \ this \ height?} \)