The sum of all that stuff is a number from here to there
Answer:
cosine
Step-by-step explanation:
fundamental trigonometric identities
2 because if you convert the fractions into decimals then divide it that way it will be 2
Answer:
y = (1/2)x - 3 Answer A is closest.
Step-by-step explanation:
Two points on the line are (0, -3) and (4, -1). Notice that I've intentionally chosen "nice" points whose coordinates are integers; this makes the math easier. The point (1, -5/2) is also on the line if you want to use it, but the math's a bit more complicated.
Going from (0, -3) to (4, -1), x increases by 4 and y increases by 2. Hence, the slope of this line is m = rise / run = 2/4, or m = 1/2.
The slope-intercept formula for the equation of a straight line is the most convenient to use here, since we can tell immediately from the graph that the y-intercept is (0, -3):
y = (1/2)x - 3
Answer A should be y = (1/2)x - 3 for improved legibility. 1 2 x is not correct as a way to express (1/2)x.
Answer:
x= -11/4 is a maximum.
Step-by-step explanation:
Remember that a function has its critical points where the derivative equal zero. Therefore we need to compute the derivative of this function and find the points where the derivative is zero. Using the chain rule and the product rule we get that
And then we get that if 
then 
. So it has a critical point at .
Now, if the second derivative evaluated at that point is less than 0 then the point is a maximum and if is greater than zero the point is a minimum.
Since
x= -11/4 is a maximum.
