Answer:
exponential function going through point 0, negative 2 and ending down on the right
Step-by-step explanation:
(Took the test, also seen as "Option A", this graph goes down and hits the y line at 0,-2.)
Answer:
This means the mock-up tank has a volume 216 times smaller than the initial tank.
Step-by-step explanation:
The ratio between volume is given by

This means the mock-up tank has a volume 216 times smaller than the initial tank.
Its C! Hope this helps and can you mark me as brainliest :))
Answer: choice D) 20
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Explanation:
Locate 3 on the x axis number line. Draw a vertical line through 3 and this vertical line will cross the parabola at some point P. Mark this point P on the parabola. Then draw a horizontal line from P to the y axis. The horizontal line will land on y = 10. In short, this all shows us that (3,10) is a point on this parabola.
Repeat those steps above, but now for x = 7. You'll see that (7,90) is another point on this parabola.
We need to find the slope of the line through the two points (3,10) and (7,90). The average rate of change from x = 3 to x = 7 is the same as the slope of the line through those two points.
To find the slope, we use the slope formula
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points, and m is the slope
In this case,
(x1,y1) = (3,10) and (x2,y2) = (7,90)
further breaking down to
x1=3
y1=10
x2=7
y2=90
So we'll plug those four pieces of info into the equation and simplifying to get...
m = (y2 - y1)/(x2 - x1)
m = (90 - 10)/(7 - 3)
m = 80/4
m = 20
The slope of the line is 20, so therefore, the average rate of change is 20.
Answer:
9
Step-by-step explanation:
Replace a by 7
and
b by 4
and
c by 1/2
7+4(1/2)
7+2=9