Hey there!
Question #1.
2^6 + (2^3)^3
= 64 + (8)^3
= 64 + 8^3
= 64 + 512
= 576
Therefore, the answer should be:
Option A. 576
Question #2.
11^-4 * 11^8
= 1/14,641 * 214,358,881
= 14,641
≈ 11^4
Therefore, the answer should be:
Option C. 11^4
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
x = - 4, x = - 
Step-by-step explanation:
Given
3x² + 14x + 8 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 + 8 = 24 and sum = + 14
The factors are + 12 and + 2
Use these factors to split the x- term
3x² + 12x + 2x + 8 = 0 ( factor the first/second and third/fourth terms )
3x(x + 4) + 2(x + 4) = 0 ← factor out (x + 4) from each term
(x + 4)(3x + 2) = 0
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - 
Answer:
-2y^2 - 4y - 7
Step-by-step explanation:
If what you need to do is to combine like terms, then do this:
2y^2 - 5 + 1 + 2y^2 - 6y^2 - 3 - 4y =
= 2y^2 + 2y^2 - 6y^2 - 4y - 5 + 1 - 3
= -2y^2 - 4y - 7

<h3>ANSWER:</h3>



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Step-by-step explanation:


Here, the Taylor approximation for a square root was applied, and O(x) stands for all negligible terms of Taylor's sum with respect to variable x.
So, 
b. For an increase of 2%, that is:

