Answer:
1. new perimeter = 4 times the old perimeter
2. The area will go up by a factor of 16
3. The new area is 1/9 of the original area.
Step-by-step explanation:
1. side length1 = x
side length2 = y
2x + 2y = perimeter
2(4x) + 2(4)y = new perimeter
8x + 8y = new perimeter
new perimeter = 4 times the old perimeter
2. The area will go up by a factor of 16. This is because the area formula has them being multiplied together and thus it will make the area go up by that much.
3. Let the length of the rectangle be x
Let width of rectangle be y
Area of rectangle = L*W
Now Each side length of the rectangle is multiplied by 1/3
So, new area = (1/3)L * (1/3)W
=(1/9)LW
So, the new area is 1/9 of the original area.
Answer:
Option C is true - The number of students who read 4 books or fewer
Step-by-step explanation:
Here, to find the mean and median, we do not have proper information or specific values. We just have the ranges, so both the mean and median cannot be determined. So, options A and B are not correct.
We can see two bins covering the 9 or more books, so option D cannot be true either.
Therefore, only option C is left and that is true.- the number of students who read 4 books or fewer.
Answer:
35 <5m
35/5 < 5m/5
7 < m
m = 8,9,10,11,12,.......
a + 6
9
a + 6 - 6
9 -6
a
3
a = 3,4,5,6,7,......
8-g > 5
8 -g +g > 5 +g
8 > 5 +g
8 -5 > 5 -5 +g
3 > g
g =4,5,6,7,8.......
Step-by-step explanation:
Answer:
Any [a,b] that does NOT include the x-value 3 in it.
Either an [a,b] entirely to the left of 3, or
an [a,b] entirely to the right of 3
Step-by-step explanation:
The intermediate value theorem requires for the function for which the intermediate value is calculated, to be continuous in a closed interval [a,b]. Therefore, for the graph of the function shown in your problem, the intermediate value theorem will apply as long as the interval [a,b] does NOT contain "3", which is the x-value where the function shows a discontinuity.
Then any [a,b] entirely to the left of 3 (that is any [a,b] where b < 3; or on the other hand any [a,b] completely to the right of 3 (that is any [a,b} where a > 3, will be fine for the intermediate value theorem to apply.
The correct answer is 5.25