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.
Josephine travels 32500+78000 yards at 60 mph
=110500yards
=62.78miles
time = distance/spped
time = distance/60
time=62.78/60
time=1.05 (1 hour 5 mins)
Marcus travels 78000(2)(square) +32500(2)
= 84500yards
=48 miles
time = distance/speed
time=48/45
time=1.07 (1 hour 7 mins)
a)Josephine arrives first
b)she arrives earlier by 2 mins.
Answer:
I will need less than 17 dollars purchase dinner.
Step-by-step explanation:
I could spend zero to 16.99 on dinner and still not violate the inequality.
The answer has to be number 2 because I took the test and I got it right
Answer: x=8
Step-by-step explanation: Solve for x by simplifying both sides of the equation, then isolating the variable.
Hope this helps you out.
