remember PEMDAS or order of operations
it's the order in which to simplify stuff
P: parenthasees (or grouping symbols like brackets or such), remember to work inside to out
E: exponents (includes square roots since they are fractional exponents)
M & D: multtiplication and divions, I do whichever comes first since division is just multiplication by a fraction
A & S: addition and subtraction, I do whichever comes first since subtraction is addition of a negative
[(30+6)-30] / 9 * 2
parenthases first, do innermost first
(30+6) is innermost parnthaees
no exponents or multipilcation or division so we add to get 36
[36-32] / 9 * 2
simplify parenthasees/brackets
[36-32] is subtraction, so 4
4 / 9 * 2
division
4/9=0.444444444444444444
0.444444444444*2=0.888888888888888 or 8/9
answer is 8/9 or 0.88888888888 which is none of the options for some reason
Answer:
We'll use 3.14 as an approximation of pi. So, now we plug the values into the equation. A = 3.14 * 8^2/2.
Step-by-step explanation:
We can find out how much larger something in scientific notation is compared to something else in scientific notation is by dividing the 10 to the power of x of the respective quantities and then dividing the numbers in front of that value (in this case 7 and 13). After we have both of those quotients, we can multiply them to find the answer. 7/13 is approximately 1/2, and 10^10 / 10^8 is 100. 0.5 * 100 is 50, meaning that the answer is approximately 50.
Answer:
(-1, -4)
Step-by-step explanation:
The critical point is the point where the slope is 0 or undefined.
This is a parabola (quadratic), so there wont be any undefined points, only a critical point where slope is 0.
We need to take the derivative of the function and set it equal to 0 to find the x coordinate of the critical point. Then we plug in that x point into original equation to find the y coordinate.
Lets see the power rule of differentiation before we differentiate this function.
Power Rule:
Also, differentiation a constant is always 0!!
Now, differentiating:
Now, we set equal to 0 and find x:
Now, we find y:
So,
x = -1
y = -4
<u>The critical point is (-1, -4)</u>