Answer:
- minimum value: 2
- axis of symmetry: x = -1
Step-by-step explanation:
A graphing calculator can answer this very quickly. The graph shows the minimum is 2, at x=-1. The axis of symmetry is the vertical line through that point so is x = -1.
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The extreme value of the quadratic ax^2 +bx +c is found at x = -b/(2a). Your quadratic has a=6 and b=12, so the extreme value is located on the line of symmetry at ...
x = -12/(2·6)
x = -1 . . . . . . . . . . line of symmetry; x-coordinate of vertex
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The leading coefficient of this even-degree polynomial is <em>positive</em>, so we know it opens <em>upward</em>. That means the vertex is a minimum.
The value of the function at the vertex is ...
f(-1) = 6(-1)^2 +12(-1) +8 = 6 -12 +8 = 2
The minimum value is 2.
(7,4) The x distance is 7 units and the y distance is 4 units. Hope it helps.
Answer:
Value of the stock traded was $5200.
Step-by-step explanation:
In this question it is given that trading company charges commission of $10 per trade or transaction plus $.025 per dollar value of stock.We have to calculate the value of stock we traded if total commission (commission on trade value + commission on trade) is $140.
Let the value of stock traded was $x.
Then commission on value of the stock = x×.025
Commission on transaction = $10
Total commission = 140 = ( .025x + 10)
⇒.025x = 140-10 = 130
x = 130÷.025 = $5200
So the value of the stock = $5200
Answer:
A. 
= 
Step-by-step explanation:
of the students wore shorts.
of the students wore jeans.
Converting the fractions of the students who wore shorts and jeans respectively;
= 0.25
= 0.25
This means that the ratio of students who wore shorts is the same as that of students who wore jeans.
i.e =
