Hello from MrBillDoesMath!
Answer:
Choice A, 1/4
Discussion:
Consider the perfect square
(x + a)^2 = x^2 + (2a)x + a^2
The constant term (a^2) equals 1/2 the coefficient of x (i.e. 2a), squared.
Let's apply this idea to x^2 + x
x^2 + x = => as 2 * 1/2 = 1
x^2 + ( 2 * 1/2)x =
( x^2 + (2* 1/2)x + ( 1/2) ^2 ) - (1/2) ^2 =
as constant term to add is 1/2 coefficient of x (that is, 1/2) and
(1/2)^2 - (1/2)^2 = 0
(x + 1/2) ^ 2 - (1/2)^2
In other words add the constant (1/2)^2 = 1/4, which is Choice A.
Thank you,
MrB
Answer:
The best measure of center for this dot plot is the median.
Choice A
Step-by-step explanation:
measures of center or location of a data set include;
the mean
the mode
the median
If a data set is symmetric or approximately normal then the best measure of center is the mean. On the other hand, for an asymmetric data with outliers the best measure of center is the median since it is robust to outliers.
Answer:
Infinitely Many Solutions
Step-by-step explanation:
There can be infinite solutions to this problem
Here are some examples
3 4
6 8
12 16
24 32
48 64
96 128
To get a solution, just multiply both numbers by the same term. I multiplied by 2 each.
Hope this helps :)
-jp524
First one,
You add -7 to the pattern.
5, -2, -9, -16.
50 times is going to be -350. But it starts at 5, so you add 5 to -350... so it should be -345?
second if the top is 7.1 and the bottom is 3.9. The average is (7.1+3.9)/2.
11/2 = 5.5
Add 10 to each number in the pattern.
-7, 3, 13, 23.
110 times should be 1100, but it starts at -7, so you add -7 to 1100. 1093. :)
