PEMDAS - Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction
First, we do the exponents.
5² - 4 · 6 + 11
= 25 - 4 · 6 + 11
Next, multiplication (according to PEMDAS).
= 25 - 24 + 11
Although PEMDAS says addition then do subtraction, please note that this is totally interchangeable. For the sake of this problem, subtraction will be done first.
= 25 - 24 + 11
= 1 + 11
Finally, addition.
= 12
This is your answer. Happy studying~
Answer:
C
Step-by-step explanation:
Since it is an exponential function, there is no way that it could be increasing at a steady pace, like adding 248 each time, since that would create a linear function ( a line.) The numbers are increasing each year, not decreasing.
Answer:

Step-by-step explanation:
A line is perpendicular to another if its slope is the negative reciprocal of the other.
Your lines are in slope intercept form here, y=mx+b, where m is the slope. We can see the given line has slope
. The negative reciprocal of that is
, which is the slope of the third answer choice.
Answer:
Domain: -4 < x < 4
Zeros: (-2, 0), (0, 0) and (2, 0)
The function is positive if: 0 < x < 2
The function is negative if: -4 < x < 0 and 2 < x < 4
Step-by-step explanation:
Domain of the function are those x values where the function is defined, For this case, -4 < x < 4
Zeros of a function are those x values where y = 0, that is, the graph intersect x-axis. For this case, the points are: (-2, 0), (0, 0) and (2, 0)
The function is positive if the graph o the function is above x-axis. For this case, the function is positive at the interval (0, 2)
The function is negative if the graph o the function is below x-axis. For this case, the function is negative at the intervals (-4, 0) and (2, 4)
3(x-8)=12
I got this equation since there are three of the "x-8" sections that add up to the twelve length bar above