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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Andrea will be at 95 meters and Sula would win I think.
Amount of Interest (I) = P * R * T /100
I = 1675 * 4.6 * 4 /100
I = 308.20
Balance = Initial amount + Interest amount
B = 1675 + 308.20 = 1983.20
In short, Your Answer would be $1983.20
Hope this helps!
Answer:7
Step-by-step explanation:
To find the median you need to first put the number in order from least to greatest this would be 2, 4 ,5, 7, 7, 7, 8
next you have to find the number in the middle
That is your median, 7 is your median.
Answer:
Step-by-step explanation:
2. 9a +4c=43
a+c=7
The total tickets for adults and children = 7 (a+c =7) 7 people in all
price for adult = $9 (9a) Price per child =$4 (4c)
total price =$ 43
9a +7c = 43
