<u>85 + c/4 = 99</u>
Subtract 85 from each side: c/4 = 14
Multiply each side by 4 : <em> c = 56
</em>
<span> x − 2y = −1 => x = 2y -1
2x + y = −12
2(2y - 1) + y = -12
4y - 2 + y = -12
5y = -10
y = -2
x = 2</span>·(-2) - 1
x = -4 - 1
x = -5
Answer <span>D (-5,-2)</span>
Answer:
The answer is B: (1,2)
Step-by-step explanation:
(solved using elimination method)
-2x+y=0
y=x+1
-x+y=1
-2x+y=0
x+y=-1
-x=-1
x=1
-1+y=1
y=2
(x,y)=(1,2)
First set of data:
Mean - 6.5
Absolute deviation - 2.4
Second set of data:
Mean - 4.475
Absolute deviation - 2.275
Answer:
Option A. 5
Step-by-step explanation:
From the question given above, the following data were obtained:
First term (a) = –3
Common ratio (r) = 6
Sum of series (Sₙ) = –4665
Number of term (n) =?
The number of terms in the series can be obtained as follow:
Sₙ = a[rⁿ – 1] / r – 1
–4665 = –3[6ⁿ – 1] / 6 – 1
–4665 = –3[6ⁿ – 1] / 5
Cross multiply
–4665 × 5 = –3[6ⁿ – 1]
–23325 = –3[6ⁿ – 1]
Divide both side by –3
–23325 / –3 = 6ⁿ – 1
7775 = 6ⁿ – 1
Collect like terms
7775 + 1 = 6ⁿ
7776 = 6ⁿ
Express 7776 in index form with 6 as the base
6⁵ = 6ⁿ
n = 5
Thus, the number of terms in the geometric series is 5.
