9514 1404 393
Answer:
A
Step-by-step explanation:
The axis of symmetry of quadratic ax²+bx+c is x=-b/(2a). For the given equation, the axis of symmetry is ...
x = -4/(2(3/2)) = -4/3
The only graph with its vertex at x=-4/3 is graph A.
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<em>Additional comment</em>
You can also make the correct choice by evaluating the equation at a couple of different values of x. Convenient ones are x= -1, or 0, or +1. The value at x=0 is the y-intercept, (0, -2), which seems to be a point on all of the graphs. The value at x=1 is 3/2+4-2 = 3.5, which looks like it is only seen on graph A.
Are you trying to combine? The answer would be 84.
Answer: A
Step-by-step explanation:
Procedure:
1) Integrate the function, from t =0 to t = 60 minutues to obtain the number of liters pumped out in the entire interval, and
2) Substract the result from the initial content of the tank (1000 liters).
Hands on:
Integral of (6 - 6e^-0.13t) dt ]from t =0 to t = 60 min =
= 6t + 6 e^-0.13t / 0.13 = 6t + 46.1538 e^-0.13t ] from t =0 to t = 60 min =
6*60 + 46.1538 e^(-0.13*60) - 0 - 46.1538 = 360 + 0.01891 - 46.1538 = 313.865 liters
2) 1000 liters - 313.865 liters = 613.135 liters
Answer: 613.135 liters
<span>Table
Bottles Price($)
3 78
6 156
9 234
From that you can find the unit price: 78 / 3 = 156 / 6 = 234 / 9 = 26.
That means that the unit rate of this fragance is $26.
If you call x the number of bottles the equation is
Price = unit rate * number of bottles = 26x.
Now compare this information with that on your graph to compare the unit rates.
This can help you fo find the unit rate in from your grpah: the unit rate is the slope of the line =
[change in y-coordinate] / [change in the x-coordinate]
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