- The equilibrium price is $1.12.
- If price is $0.98, there would be scarcity of Super Widgets.
- When price is $0.98, quantity demanded is y.
- When price is $0.98, quantity supplied is x.
- When price is $1.22, there would be a surplus of Super Widgets.
<h3>What is equilibrium? </h3>
Equilibrium price is the price at which the quantity demanded equals the quantity supplied. The equilibrium price is $1.12.
Above equilibrium price, quantity supplied would exceed quantity demanded and there would be a surplus. When price is below equilibrium price, quantity supplied would be less quantity demanded and there would be a scarcity.
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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.
5 goes with total numbers in the ride
k goes with number of kilometers he has already biked
5-k goes with numbers of kilometers left
and then proces of elimination leaves you with 4 and the last one
If we say that side "a" is the shortest (adjacent), side "b" is the second shortest (opposite), and side "c" is the longest (hypotenuse): then angle A would be 30°, angle B would be 60°, and angle C would be 90°
tan B = b/a
or
a tan B = b
they have 4 as the smallest value in all four options, so we know that
a=44 tan 60° = b
tan 60° = √3
so, 4 tan 60° = 4√3
b=4√3that leaves two options left, so now we find "c":
c^2 = (a^2) + (b^2)
OR
so
a=4, b=4√3, and c=8
Making your answer
B
