B. 16.30 = 16.3
if there is a 0 in a decimal and it is the farthest right place value it is the same as if the 0 wasn't there
Answer:
He is not correct, the answer is All Real Numbers.
Step-by-step explanation:
When two lines are right on top of each other, the solution set is All Real Numbers that are on both lines because the solution set is the point(s) at which the lines overlap.
Answer:
f(x) = 1.5x - 0.5x
Step-by-step explanation:
The function of the pattern represented by the pentagonal numbers is the sum of three triangular numbers.
The triangular number general formula
x (x + 1) / 2
For example,
The sequence
1, 3, 6, 10
*
* * *
* * * * * *
* , * *, * * *, * * * *
_____________________________
The pentagonal numbers
The sequence:
1, 5, 12, 22, 35
As shown in the picture can be divided into three triangles
Triangle 2
x (x + 1) / 2
Triangle 1 and 3 (they are triangles one unit smaller than 2)
n (n + 1) / 2
n= x-1
Replacing n
(x-1) ((x-1) + 1) / 2
(x-1) (x) / 2
(x-1) x / 2
______________
Function represents the pattern
Triangle 2 + (Triangle 1 + Triangle 3)
Triangle 1 = Triangle 3
So then,
Triangle 2 + 2* Triangle 1
x (x +1) /2 + 2* (x -1) x/2
Rearranging
0.5 x (x +1) + x(x -1)
0.5x^2 + 0.5x + x^2 -x
(0.5 x^2 + x^2) + (0.5x -x )
1.5 x^2 - 0.5 x
______
Answer: 15
Step-by-step explanation:
When you plot the points, it makes a rectangle. The length is 5 units and the height is 3 units. 5 times 3 is 15
Answer:
1/18
Step-by-step explanation:
1/6 * 1/3
1 *1 = 1
6 * 3 = 18
1/18