Its the second one: 5n-3=12
Answer:
It is a perfect square expression.
It factors to (x+2)^2
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Explanation:
The general format for a perfect square is
(a+b)^2 = a^2 + 2ab + b^2
Which can be seen through the use of the FOIL rule.
Compare x^2+4x+4 with a^2+2ab+b^2, and we have these three equivalences:
- x^2 = a^2 .... first terms
- 4x = 2ab .... middle terms
- 4 = b^2 .... last terms
Since x^2 = a^2, we can apply the square root to both sides to get a = x. Similarly, 4 = b^2 leads to b = 2. We could get b = -2, but that would mean 2ab = 2x*(-2) = -4x instead of 4x. So we'll stick with b = 2 instead.
Because a = x and b = 2, we then can say:
(a+b)^2 = a^2 + 2ab + b^2
(x+2)^2 = x^2 + 2*x*2 + 2^2
(x+2)^2 = x^2 + 4x + 4
Showing that x^2+4x+4 factors to (x+2)^2.
Answer: 243, 729
<u>Step-by-step explanation:</u>
1, 3, 9, 27, 81 is a geometric sequence where r = 3
a₁ = 1
a₂ = 1 x 3 = 3
a₃ = 3 x 3 = 9
a₄ = 9 x 3 = 27
a₅ = 27 x 3 = 81
To find the next two terms, multiply the previous term by 3:
a₆ = 81 x 3 = 243
a₇ = 243 x 3 = 729
Answer:
answer is here
Step-by-step explanation:
https://www.mathpapa.com/algebra-calculator.html
Answer: 41
3325 - 225 = 3,100
3,100 / 75 = 41.3 but you can’t take .3 bags so you round down to 41
