Answer:
81y^2+36y+4
Step-by-step explanation:
First: 9y^2= 81y
Next: 2^2= 4
Then: 9y times 2= 18
Last: 18 times 2= 36y
(this : ^2 means squared in case you did not know)
Steps in multiplying fractions. Remember: finding common denominator is not necessary in multiplying fractions.
Common denominators are only needed in adding and subtracting fractions.
14/15 * 5/2
Step 1. Multiply the numerators.
14 * 5 = 70
Step 2. Multiply the denominators
15 * 2 = 30
Step 3. Simplify the fraction.
70/30 = 2 10/30 = 2 1/3
*the fraction 10/30 can still be simplified by dividing both numbers by 10. Hence, 1/3.
Steps in Dividing fractions.
24/60 ÷ 8/15
Step 1. Get the reciprocal of the 2nd fraction. Reciprocal means the reverse of the fraction. Simply swap the places of the numbers.
Reciprocal of 8/15 is 15/8.
Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction. Follow steps in multiplying fractions.
24/60 * 15/8 = (24*15) / (60*8) = 360/480
Step 3. Simplify the fraction.
360/480 = 9 / 12 = 3/4
360 ÷ 40 = 9 ; 9 ÷ 3 = 3
480 ÷ 40 = 12 ; 12 ÷ 3 = 4
So we have an equation:
2w=12-4w
Firstly, let's simplify, and divide all terms by 2:
w=6-2w
Now, we add 2w over to the other side:
3w=6
And finally, we divide both sides by 3:
w=2
Hope this helps!
The wording of this question is a bit confusing... You can't write a sequence in sigma notation, but rather a series or sum. I think the question is asking you to write the sum of the sequence,

which would be

in sigma notation.
To do this, notice that the denominator in each term is a power of 2, starting with
and ending with
. So in sigma notation, this series is

Answer:
<em>-9.5 + 6x ≥ 42.1 </em>
<em>6x ≥ 51.6</em>
x ≥ 8.6
Here, we can see that x is greater than or equal to 8.6. So, we can say that 8.6 is the lowest value of x
but we have 2 options with 8.6 as the lowest term, we can see that the brackets are different in the beginning
the '[' bracket tells us to include 8.6 in the values of x whereas the '(' bracket tells to exclude 8.6 from the possible values of x
since we know that x is greater than or equal to 8.6, we will use the '[' bracket
Hence, b is your answer
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<em>PS: i need one brainly to reach the next rank, if you find this answer helpful. Mark Brainliest </em>