anna40794
13.11.2020 •
Mathematics
2.The tables show the numbers of white and yellow flowers Cara and Hector used in 5 different arrangements.
Cara’s Flower Arrangements
White
3
6
9
12
15
Yellow
5
10
15
20
25
Hector’s Flower Arrangements
White
4
8
12
16
20
Yellow
6
10
14
18
22
Part A
Are the numbers of white and yellow flowers in Cara’s arrangements proportional? Write an equation that relates the number of yellow flowers, y, to the number of white flowers, w.
Part B
Are the numbers of white and yellow flowers in Hector’s arrangements proportional? Write an equation that relates the number of yellow flowers, y, to the number of white flowers, w.
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Ответ:
Part A:
Yes, the numbers of white and yellow flowers in Cara's arrangements are proportional.
yellow flowers = y
white flowers = w
5y = 3w
Therefore, the numbers of white and yellow flowers in Cara's arrangements are proportional.
Part B:
yellow flowers = y
white flowers = w
6y = 4w
Therefore, the numbers of white and yellow flowers in Hector's arrangements are proportional.
Ответ:
8
Step-by-step explanation:
f ( 1 ) = 18
First term ( a ) = 18
f ( n + 1 ) = f ( n ) - 2
When, n = 1
f ( 1 + 1 ) = f ( 1 ) - 2
f ( 2 ) = 18 - 2
f ( 2 ) = 16
f ( 2 ) - f ( 1 )
= 16 - 18
= - 2
Common difference ( d ) = - 2
f ( 5 )
= a + 4d
= 18 + 4 ( - 2 )
= 18 - 8
= 8