Answer:
27
Step-by-step explanation:
Given that :
Dimension of poster board = 1 yd by 1 yd
Dimension of each poster sign = 1/3 yd by 1/9 yd
Number of poster signs that can be cut :
Area of poster sign = 1/3 * 1/9 = 1/27 yard²
Area of poster board = 1 yard²
Number of poster signs that can be cut :
Area of poster board / area of poster sign
1 yard² ÷ (1/27) yard²
1 ÷ 1/27
1 * 27/1
= 27 poster signs
Answer:
1st to 4th: Sam, Cras, Randy, Charte
Step-by-step explanation:
The places are determined by putting the times in increasing order.
<u>time</u>, <u>place</u>, <u>name</u>
25.85, 1st place, Sam
25.90, 2nd place, Cras
32.20, 3rd place, Randy
32.28, 4th place, Charte
_____
<em>Additional comment</em>
Sometimes it is easier to compare values when they all have the same number of decimal places.
Set the argument -1/2x equal to the x coordinate of the given point 6. Solve for x
-1/2x = 6
x = 6(-2)
x = -12
So x = -12 makes the equation -1/2x = 6 true.
If we plug x = -12 into f(-1/2x) we get f(6)
Since we know that (6,-8) is on the graph of f(x), we know that (-12,-8) is on the graph of f(-1/2x)
What happens is that there's a reflection over the y axis (due to the minus sign in -1/2x) and there's a horizontal stretch by a factor of 2. So the graph of f(-1/2x) appears to be wider than f(x).
In summary, the final answer is (-12,-8)
