Answer:
f(x) = x^3 - 2x^2 - x + 2
Step-by-step explanation:
since the zeroes are 1,-1, and 2. we can write the function like
f(x) = (x-1)(x+1)(x-2)
f(x) = (x^2-1)(x-2)
f(x) = x^3 -2x^2 -x +2
and it is true that f(0)=2
Answer:
C
Step-by-step explanation:
A cylinder is formed when rotating the 3-D figure around y-axis
Resposta:
Primer rectangle:
Amplada = 11
Longitud = 14
Segon rectangle:
Amplada = 12
Longitud = 15
Tercer rectangle:
Amplada = 13
Longitud = 16
Explicació pas a pas:
Donat que:
Primer rectangle:
Amplada = x
Longitud = x + 3
2n rectangle:
Augment de la dimensió d'1 cm respecte al primer rectangle;
Amplada = x + 1
Longitud = x + 4
3r rectangle:
Augment de la dimensió de 2 cm respecte al primer rectangle;
Amplada = x + 2
Longitud = x + 5
Suma dels tres perímetres del rectangle:
Perímetre d'un rectangle: 2 (l + O)
Primer rectangle:
2 (x + x + 3) = 2 (2x + 3) = 4x + 6
2n:
2 (x + 1 + x + 4) = 2 (2x + 5) = 4x + 10
3r:
2 (x + 2 + x + 5) = 2 (2x + 7) = 4x + 14
Suma de perímetres = 162
(4x + 6 + 4x + 10 + 4x + 14) = 162
12x + 30 = 162
12x = 162 - 30
12x = 130
x = 11
Per tant,
Primer rectangle:
Amplada = 11
Longitud = 11 + 3 = 14
2n rectangle:
Amplada = 11 + 1 = 12
Longitud = 11 + 4 = 15
3r rectangle:
Amplada = 11 + 2 = 13
Longitud = 11 + 5 = 16
Answer:
Fourth Quadrant
Step-by-step explanation:
a>0 = a is a positive number = +y
b<0 = b is a negative number = -x
[-b,-a] = [-(-x), -(+y)] = [x, -y]
[positive, negative] is on the fourth quadrant
Plug in numbers. if originally, it was V=1/2 * 1 * 1 * 2=1
<span>tripling the dimensions would be V=1/2 * 3 * 3 * 6=27 </span>
<span>it would be 27 times larger. this could also be found by 3^3, just as doubling would render 2^3
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