Answer:
y = - 3x² - 24x - 60
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, - 12 ), thus
y = a(x + 4)² - 12
To calculate a substitute (- 7, - 39) into the equation
- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )
- 27 = 9a ( divide both sides by 9 )
- 3 = a
y = - 3(x + 4)² - 12 ← in vertex form
Expand (x + 4)²
y = - 3(x² + 8x + 16) - 12
= - 3x² - 24x - 48 - 12
y = - 3x² - 24x - 60 ← in standard form
= - 3(x²
Answer: Its 1
Step-by-step explanation:
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Question 696338: Please I need help solving an algebra: solving proportions
CHARITY Karthik spent $35 of his allowance and gave $5 to a charity. If the number of dollars he spends is proportional to the number of dollars he gives to charitt, how much of much of a $100-allowance will he give to a charity?
(Scroll Down for Answer!)
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Answer by stanbon(74715) About Me (Show Source):
You can put this solution on YOUR website!
Karthik spent $35 of his allowance and gave $5 to a charity. If the number of dollars he spends is proportional to the number of dollars he gives to charitt, how much of a $100-allowance will he give to a charity?
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x/100 = 5/35
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Answer:
no
Step-by-step explanation:
4x -3 = 16
x=19/4
4(x-3) = 16: Distribute the number in the parenthesis with 4 and you get:
4x-12=16
x=7
4x-12=16 is not the same as 4x-3=16
Therefore they do not have the same solution.
Answer:
Step-by-step explanation:
Use cosine:
We have:
Substitute:
<em>cross multiply</em>
<em>divide both sides by 9063</em>
