Number of bicycles is 15
number of go karts is 6
The recursive formula for given sequence is:
And the terms will be expressed as:
Step-by-step explanation:
First of all, we have to determine if the given sequence is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio
Given sequence is:
11,4,-3,-10,-17...
Here
As the common difference is same, given sequence is an arithmetic sequence.
A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference
So, the recursive formula for an arithmetic sequence is given by:
Hence,
The recursive formula for given sequence is:
And the terms will be expressed as:
Keywords: arithmetic sequence, common difference
Learn more about arithmetic sequence at:
#LearnwithBrainly
Use the points H(−4, 1) and K(4, 1).
(a) From two points , we will get a vertical line when 'x' values are same and horizontal line segment when 'y' values are same
Here in H(−4, 1) and K(4, 1) , the y values are same so the segment HK is a horizontal . The length is the difference between x values ( 4 -(-4)) = 8
Segment HK is a Horizontal segment that is
8 units long.
(b) Describe the image of segment HK under the transformation
(x, y) -----> (−y, x)
H(−4, 1) -----> (-1, -4)
and K(4, 1) ---> (-1, 4)
'x' values are same so line HK is Vertical. The length is the difference between y values ( 4 -(-4)) = 8
The image of segment HK is a Vertical segment that is
8 units long.
(c) escribe the image of segment HK under the transformation
(x, y) ----> (2x, y)
H(−4, 1) -----> (-8, 1)
and K(4, 1) ---> (8, 1)
'y' values are same so line HK is Horizontal. The length is the difference between y values ( 8 -(-8)) = 16
The image of segment HK is a Horizontal segment that is
16 units long.
Answer:
19 keyboards
Step-by-step explanation:
Let d = thumb drives; and k = computer keyboards
Total number of sales of thumb drives and keyboards is 50
50 = d + k
Rearranged:
d = 50 - k
Total revenue from the sale of $24 thumb drives and $49 keyboards is $1675
1675 = 24d + 49k
Sub in d = 50 - k
1675 = 24(50 - k) + 49k
1675 = 1200 - 24k + 49k
475 = 25k
k = 475/25
k = 19
(To check, d = 50 - 19 = 31)
Answer:
2 and a half spoon per person (2.5)
Step-by-step explanation:
10/4=2.5