Answer:
it means that his equation is not true.
Step-by-step explanation:
-2=2 is obviously incorrect, so we must assume that the equation isn't true.
Suppose that equation of parabola is
y =ax² + bx + c
Since parabola passes through the point (2,−15) then
−15 = 4a + 2b + c
Since parabola passes through the point (-5,-29), then
−29 = 25a − 5b + c
Since parabola passes through the point (−3,−5), then
−5 = 9a − 3b + c
Thus, we obtained following system:
4a + 2b + c = −15
25a − 5b + c = −29
9a − 3b + c = −5
Solving it we get that
a = −2, b = −4, c = 1
Thus, equation of parabola is
y = −2x²− 4x + 1
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Rewriting in the form of
(x - h)² = 4p(y - k)
i) -2x² - 4x + 1 = y
ii) -3x² - 7x = y - 11
(-3x² and -7x are isolated)
iii) -3x² - 7x - 49/36 = y - 1 - 49/36
(Adding -49/36 to both sides to get perfect square on LHS)
iv) -3(x² + 7/3x + 49/36) = y - 3
(Taking out -3 common from LHS)
v) -3(x + 7/6)² = y - 445/36
vi) (x + 7/6)² = -⅓(y - 445/36)
(Shifting -⅓ to RHS)
vii) (x + 1)² = 4(-1/12)(y - 445/36)
(Rewriting in the form of 4(-1/12) ; This is 4p)
So, after rewriting the equation would be -
(x + 7/6)² = 4(-⅛)(y - 445/36)
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I hope this is what you wanted.
Regards,
Divyanka♪
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Answer: 48 kilogramos de fruta
Step-by-step explanation:
Hola, para resolver este problema simplemente hay que sumar las cantidades de cada fruta:
Kilos de manzanas + kilos de mangos+ kilos de naranjas:
Matemáticamente hablando:
34+12+2 = 48 kg
Elena compro 48 kilogramos de fruta en total.
Si quedo alguna duda no dudes consultar con un comentario.
Answer:
6.5 x 10^-7
Step-by-step explanation:
Answer:
No, they are not proportional. 3/5 with equal out to 15/25 by using the method of Least Common Denominator!
Step-by-step explanation:
Hope this helps :)