36/27=1.3
7x1.3=9.1
The actual length is 9.1meters
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
______
The ordered pair is included in the solution set to the following system is (0,2)
<h3>Set of inequalities</h3>
Given the set of inequalities
y > x2 + 1
y < x2 – x + 1
Equate both expressions to have:
x^2 + 1 = x^2 - x +1
1 = -x + 1
x = 0
Substitute x = 0 into any of the function
y = x^2 + 1
y = 1
This shows that the ordered pair is included in the solution set to the following system is (0,2)
Learn more on inequality here: brainly.com/question/24372553
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Answer: 5/3
Step-by-step explanation:
16 : 80
x : 100
Cross multiply.
80× = 100×16
× = 100 × 16 /80
× = 20 grams.
His allowance is 20g of saturated fat.