The speed is the change in position divided by the time.
There are four intervals where the speed is uniform:
1) from 0 to 0,5 hours
2) from 0,5 hours to 3 hours
3) from 3 to 4 hours
4) from 4 to 7 hours
We are asked to say the average speed during the interval in which J. is traveling the fastest.
That is where the is more inclined, and that happen in the last interval. There the speed is tha change in position / the time =
(200 -0)miles/3hours = 67 mph.
If you are not sure that this is the fastest speed, you can calculate the speed in the other intervals in the same way and compare.
So in matt's equation, he made a mistake in the a transision from line 2 to line 3
in line 2: -4(-2)2
in line 3: -4(4)
the mistake is that -2 times 2 is not equal +4 it is equal to -4
also from lines 5 to 6 he made a mistake in order of opperations (mulit division then addition and subtract)
line 5: -10+30/5
line 6: 20/5
so he first subtracted 10 then divided, he should have divided then subtracted
so the equation should have equaled
Karen used the correct (-) times (+) property and the order of operations
so Karen is correct and Matt is wrong.
Answer:
The equation of the new function is 
Step-by-step explanation:
Suppose we have a function f(x).
a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.
f(x - a) is shifting f(x) a units to the right.
f(x + a) is shifting f(x) a units to the left
In this question:

Vertically compressing by 1/2:
This is the same as multiplying the function by 1/2. So

The equation of the new function is 
If I'm correct you should make a fraction first
5.4 3.6
----- to -----
4.8 ?
Now find the missing number
5.4 to 3.6 would be a difference of ÷ 1.5 so you must do the same for 4.8
÷<span>1.5 </span>
5.4 3.6
----- to -----
4.8 3.2
÷1.5
The tail length should be 3.2 feet
Answer:
Step-by-step explanation:
Remark
All of the given listed figures have the property of 4 sides and 4 angles. There is also some relationship between the angles or pairs of angles. Only the square follows the same path. The others cannot be chosen because the sides differ and the angle properties are quite different.
Answer: <u>Square</u>