For the function f ( x ) = x² we have the new function f 1 ( x ) = 1/2 x².
f ( x ) = a · x²
- If |a| < 1 the graph is compressed vertically by a factor of a.
- If |a| > 1 the graph is stretched vertically by a factor of a.
Here: a = 1/2 < 1
Answer:
C. The graph will be compressed vertically.
Answer:
Step-by-step explanation:
Rotation by -90° about the origin is the transformation ...
(x, y) ⇒ (y, -x)
So, your pre-image points are ...
A'(6, 3) ⇒ A(3, -6)
B'(-2, 1) ⇒ B(1, 2)
C'(1, 7) ⇒ C(7, -1)
2x+(x-10)=4
3x-10=4
3x=14
x=4.6 repeating
Answer:
No, she is not correct as her speed is 0.25 miles per minute.
Step-by-step explanation:
Given:
Ratio of distance to time taken is 15 : 60.
Distance is in miles and length of time is in minutes.
We know that, average speed is given as the ratio of the distance traveled and the length of the time taken.
So, the ratio above is nothing but the average speed of Reese for cycling.
Thus, average speed of Reese is given as:
![\textrm{Average speed}=\frac{Distance}{Time}\\\\\textrm{Average speed}=\frac{15}{60}\ miles\ per\ min\\\\\textrm{Average speed}=\frac{1}{4} = 0.25\ miles\ per\ min](https://tex.z-dn.net/?f=%5Ctextrm%7BAverage%20speed%7D%3D%5Cfrac%7BDistance%7D%7BTime%7D%5C%5C%5C%5C%5Ctextrm%7BAverage%20speed%7D%3D%5Cfrac%7B15%7D%7B60%7D%5C%20miles%5C%20per%5C%20min%5C%5C%5C%5C%5Ctextrm%7BAverage%20speed%7D%3D%5Cfrac%7B1%7D%7B4%7D%20%3D%200.25%5C%20miles%5C%20per%5C%20min)
Therefore, the average speed of Reese is 0.25 miles per minute which is not equal to the one mentioned by Reese as 4 miles per minute.
So, Reese conclusion of her average speed is incorrect. It's not 4 but the reciprocal of 4 which is 0.25 miles per minute.