1st question
make line plot similar to the second. above 1/6 put 6 x's; above 1/3 put 3 x's; above 1/2 put 6 x's.
average: 1/3
Just pretend it’s a 3d right angle triangle and find the length of the hypotenuse.
d = sqrt(6^2 + 10^2 + 15^2) = 19
Answer:
Her score in the first game was 173.
Step-by-step explanation:
Sue's total score for the 3 games = 3*162 = 486 points.
Let her score in the first game be x points. Then in the second game she scored (x - 10) and in the third, ( x - 10 - 13) points:
x + (x - 10) + (x - 23) = 486
3x - 33 = 486
3x = 519
x = 173 (answer).
Look at the graph below carefully
Observe the results of shifting ={2}^{x}f(x)=2x
vertically:
The domain, (−∞,∞) remains unchanged.
When the function is shifted up 3 units to ={2}^{x}+3g(x)=2x +3:
The y-intercept shifts up 3 units to (0,4).
The asymptote shifts up 3 units to y=3y=3.
The range becomes (3,∞).
When the function is shifted down 3 units to ={2}^{x}-3h(x)=2 x −3:
The y-intercept shifts down 3 units to (0,−2).
The asymptote also shifts down 3 units to y=-3y=−3.
The range becomes (−3,∞).
Answer:
enrollment decreases by 14.34%.
Step-by-step explanation:
Given that number of students enrolled in 2000 = 823
Given that number of students enrolled in 2010 = 705
705 is less than 823 so that means number of students enrollment is decreasing.
Decrease = 823-705 = 118
Percent decrease is given by formula:
which is approx 14.34%.
Hence final answer is that enrollment decreases by 14.34%