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:
2400
Step-by-step explanation:
2244 is the final price. it includes the VAT based on the actual sale price. and that is then actually 15% lower than the originally marked price.
so, let's calculate backwards :
2244 = 100% sale price + 10% VAT = 110%
1% = 2244 / 110 = 20.40
100% (actual sale price) = 20.40×100 = 2040
now, because of the 15% discount, these 2040 are only 85% of the originally marked price.
2040 = 85%
1% = 2040 / 85 = 24.00
100% (the original marked price) = 24×100 = 2400
Y-4=3(x+2)
y-4=3x+6
y = 3x +10
so in case of choise C. we get
4 = 3*(-2) +10
4 = -6 +10
4 = 4
hope this will help you
Answer:
99% confidence interval estimate of the mean weight time for a population with drug treatments
(79.11 , 112.69)
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given data mean of the Population = 104 minutes
Given sample size 'n' =14
Mean of the sample(x⁻) = 95.9 minutes
Given Standard deviation = 24.4 minutes
<u><em>Step(ii)</em></u>:-
99% confidence interval estimate of the mean weight time for a population is determined by
On calculation , we get
(95.9 -16.79 , 95.9 +16.79)
(79.11 , 112.69)
<u><em>Conclusion:</em></u>-
99% confidence interval estimate of the mean weight time for a population with drug treatments
(79.11 , 112.69)
Answer:
Step-by-step explanation:
a calculator spread out :P or maybe many calculators.. oh... it's a matrix of calculators... yes..
