Answer:
-500
Step-by-step explanation:
Given sequence;
97, 94, 91 ......
Unknown;
The 200th term of the sequence;
Solution:
Since we were given an arithmetic progression, we need to first find the common difference;
Common difference = second term - first term
= 94 - 97
= -3
To find the 200th term, we use the expression below;
Sn = a + (n-1)d
a is the first term
n is the nth term
d is the common difference
S₂₀₀ = 97 + (200 - 1 ) x -3 = -500
Answer:
$89.64
Step-by-step explanation:
First, you want to find your unit rate.
To do that, simply just divide what you know (cost/amount):
29.88/12
= 2.49
This means that one role of tape costs $2.49.
Now that we know that, you can simply just solve for value "c":
c = 2.49(36)
c = 89.64
This picture should help, i graphed it for you! : )
Answer:
<u>[x - (4 + 2√3)] and [x - (4 - 2√3)]</u>
Step-by-step explanation:
Given :
Divide throughout by 3 to simplify :
- 1/3 x (3x² - 24x + 12)
- x² - 8x + 4
Using the Quadratic Formula :
- x = -b ± √b² - 4ac / 2a
- x = -(-8) ± √(-8)² - 4(1)(4) / 2(1)
- x = 8 ± √64 - 16 / 2
- x = 8 ± √48 / 2
- x = 8 ± 4√3 / 2
- x = 4 ± 2√3
Factors are :
- <u>[x - (4 + 2√3)] and [x - (4 - 2√3)]</u>
The formula of a distance between two points:

We have the points (-1, -3) and (-9, 2). Substitute:

<h3>Answer: d = √89</h3>