A circle with center point N and three points A, B, C on its circumference. A line is drawn connecting the points A, N and C and the angle ANC is given as 138 degree.
B. 138°
The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality.
<h3>What is inequality?</h3>
A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
As per the given inequality,
y ≤ x - 3
Put x = 0
y ≤ 0 - 3
y ≤ -3
Since 4 ≤ -3 is the wrong statement thus it will not satisfy the inequality.
Hence "The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality".
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Answer:
$116.25
Step-by-step explanation:
10% = $7.50
5% = $3.75
7.50 x 5 = 37.50
37.50 + 3.75 = $41.25
$75 + $41.25 = $116.25
Hope this helps !
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Step-by-step explanation:
Answer:
- The sum of the series is given as
7/(1 + 7z)
- The series converges for (-1/7, 1/7)
Step-by-step explanation:
Given the geometric series:
7 - 14z + 28z² - 56z³ + ...
The common ratio r is given as
-14z/7 or 28z²/(-14z) or -56z³/(28z²) and so on
r = -7z
The sum of the series is given as
S = a/(1 - r)
Where a is the first term in the series.
S = 7/(1 -(-7z))
= 7/(1 + 7z)
The series converges for |-7z| < 1
That is for -1/7 < z < 1/7