Solve for x. (1 point) −3x + 2b > 8 x < the quantity negative 2 times b plus 8 all over negative 3 x > the quantity neg
1 answer:
Given:
To find:
The value of x.
Solution:
We have,
To find the value of x, we need to isolate x on one side.
Subtract 2b from both sides.
Divide both sides by -3. On multiplying or dividing an inequality by a negative number, we need to change the sign of inequality.
The required inequality for x is .
Therefore, the correct option is A.
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Answer:
10.67
Explanation:
The given series is a geometric series:
8 , 2 , 0.5 , ...... etc
The general formula of the geometric sequence is:
a1 , a1*r , a1*r² , ......
Comparing the general form with the given, we would find that:
a1 = 8
a1 * r = 2
Therefore:
8*r = 2
r = 2/8 = 0.25
We can double check using another term as follows:
a1 = 8
a1*r² = 0.5
8r² = 0.5
r² = 0.5/8 = 0.0625
r = √0.0625 = 0.25
Now, we will get the sum of the sequence as follows:
S =
= 
= 32/3 = 10.67
Hope this helps :)
10.67
Explanation:
The given series is a geometric series:
8 , 2 , 0.5 , ...... etc
The general formula of the geometric sequence is:
a1 , a1*r , a1*r² , ......
Comparing the general form with the given, we would find that:
a1 = 8
a1 * r = 2
Therefore:
8*r = 2
r = 2/8 = 0.25
We can double check using another term as follows:
a1 = 8
a1*r² = 0.5
8r² = 0.5
r² = 0.5/8 = 0.0625
r = √0.0625 = 0.25
Now, we will get the sum of the sequence as follows:
S =
Hope this helps :)