2 answers:
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 ____________________ 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) __________________ I hope this is what you wanted. Regards, Divyanka♪ __________________
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 = −3, b = −7, c = 11 Thus, equation of parabola is y = −3x²− 7x + 11 ____________________ Rewriting in the form of (x - h)² = 4p(y - k) i) -3x² - 7x + 11 = y ii) -3x² - 7x = y - 11 (-3x² and -7x are isolated) iii) -3x² - 7x - 147/36 = y - 11 - 147/36 (Adding -147/36 to both sides to get perfect square on LHS) iv) -3(x² + 7/3x + 49/36) = y - 543/36 (Taking out -3 common from LHS) v) -3(x + 7/6)² = y - 181/12 vi) (x + 7/6)² = -⅓(y - 181/12) (Shifting -⅓ to RHS) vii) (x + 1)² = 4(-1/12)(y - 181/12) (Rewriting in the form of 4(-1/12) ; This is 4p) So, after rewriting the equation would be - (x + 7/6)² = 4(-1/12)(y - 181/12) _________________
I have corrected the answer and wrote again since the time to correct the answer from that account was expired. - Divyanka
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2745
Step-by-step explanation:
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180x+120y greater than 5145
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Answer:
x ≤ 8
Step-by-step explanation:
Given
2x - 4 ≤ 12
Isolate the term in x by adding 4 to both sides
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x ≤ 8 ← is the solution
Answer:
The correct result would be f(g) = g * $1 - $50.
Step-by-step explanation:
If you would like to find the function that gives the profit Betty makes by selling a number of glasses of lemonade, you can find this using the following steps:
p ... profit
g ... glasses of lemonade
f(g) = p = g * $1 - $50
Read more on Brainly.com - brainly.com/question/1638432#readmore