Answer:
336
Step-by-step explanation:
8 (12 + 30)
Follow PEMDAS order of operations.
Calculate within parentheses. (12 + 30)
12 + 30
12 + 30 = 42
= 42
=8 * 42
Multiply and divide left to right
8 *42
8 * 42 = 336
= 336
Sorry I don’t know if you have any other problems then I will be willing to help
Answer:
The answers are 54 degrees and 234 degrees
Step-by-step explanation:
mathematically we have the tan positive on only two axes
these are the first (0-90) degrees and the 3rd quadrant (180-270)
We start by find the arc tan of the angle value
Thus;
x = arc tan (1.3562)
x = 54 degrees
On the third quadrant, we have it that;
180 + 54 = 234 degrees
Answer:
6y²+40y--27
Step-by-step explanation:
(3y – 4) (2y + 7) + 1ly – 9
6y² + 21y -- 8y --28 + 11y --9
6y²+40y--27
Hmm, the 2nd derivitve is good for finding concavity
let's find the max and min points
that is where the first derivitive is equal to 0
remember the difference quotient
so
f'(x)=(x^2-2x)/(x^2-2x+1)
find where it equals 0
set numerator equal to 0
0=x^2-2x
0=x(x-2)
0=x
0=x-2
2=x
so at 0 and 2 are the min and max
find if the signs go from negative to positive (min) or from positive to negative (max) at those points
f'(-1)>0
f'(1.5)<0
f'(3)>0
so at x=0, the sign go from positive to negative (local maximum)
at x=2, the sign go from negative to positive (local minimum)
we can take the 2nd derivitive to see the inflection points
f''(x)=2/((x-1)^3)
where does it equal 0?
it doesn't
so no inflection point
but, we can test it at x=0 and x=2
at x=0, we get f''(0)<0 so it is concave down. that means that x=0 being a max makes sense
at x=2, we get f''(2)>0 so it is concave up. that means that x=2 being a max make sense
local max is at x=0 (the point (0,0))
local min is at x=2 (the point (2,4))
