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montgomerykarloxc24x
01.07.2019 •
Mathematics
Simplify the expression (11 – 6)2 + 6 × 2 – (3 + 3)2.
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Ответ:
Answer = 10
Ответ:
(11-6)(11-6) + 6 × 2 - (3+2)(3+2)
Follow your Order of Operation (OO):
One method is to remember the phrase "Please Excuse My Dear Aunt Sally", which forms the acronym [PEMDAS]. This stands for "Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction".
So work your way from left to right, doing actions within parentheses first, next exponents... to lastly adding and or subtracting.
So we'll first do inside the parentheses:
(11-6)(11-6) + 6 × 2 - (3+2)(3+2) -->
(5)(5) + 6 × 2 - (5)(5) --> 25 + 6 × 2 - 25
Multiply (M) comes after E, so:
25 + (6×2) - 25 = 25 - 25 + (12) --> since 25-25 is 0, it's really just 0 × 12 = 12
Ответ:
x = -2, 2 are discontinuities because they result in a division by zero. division by zero is not allowed/undefined. (the attachment to my answer is the graphed function y(
since the denominator comes out to be (x-2)(x+2), that means either x = 2 or x = -2 will make the entire denominator 0 (0 times anything is 0). when the whole denominator becomes zero, you end up dividing by zero, which is undefined. that's why those two values are the discontinuities.
the general idea why it is called a discontinuity: if you graphed the function out, there would be a visible break in the graph of the function; not everything will be connected and "continuous".
for
x = 1 is the only discontinuity because it is the only value that results in a division by zero.