1 szkoły ponadpodstawowej

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MATeMAtyka 1. Zakres podstawowy. Po gimnazjum

Rozwiązanie 1

a) p=(52​)−1=25​=221​  Ta liczba to 2.

a) x=36427​<svg xmlns="http://www.w3.org/2000/svg" width='400em' height='2.48em' viewBox='0 0 400000 2592' preserveAspectRatio='xMinYMin slice'><path d='M424,2478
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Oznaczmy początkowe długości boków prostokąta przez xy.  P=xy       a)   P1​=(x−20%x)⋅(y−20%y)=    (x−0,2x)⋅(y−0,2y)=       =0,8x⋅0,8y=0,64xy      Obliczamy, o ile procent zmalało pole:

a) Obliczamy, jaka kwota znajdowała się na lokacie po pierwszym roku:  5000+5000⋅0,04=5000+200=5200     Obliczamy, jaka kwota

a)   k∈C     k, k+1, k+2    - trzy kolejne liczby całkowite   Wiemy, że ich suma jest o 15 większa od dwukrotności największej z liczb:

10x=3,33333….     x=0,333333…     10x−x=3   9x=3   x=93​=31​

a)   x=1169​<svg xmlns="http://www.w3.org/2000/svg" width='400em' height='2.48em' viewBox='0 0 400000 2592' preserveAspectRatio='xMinYMin slice'><path d='M424,2478
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a)   3<svg xmlns="http://www.w3.org/2000/svg" width='400em' height='1.08em' viewBox='0 0 400000 1080' preserveAspectRatio='xMinYMin slice'><path d='M95,702
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