Answer:
C.
Step-by-step explanation:
p(x)=sin(x) is an odd function since sin(-x)=-sin(x).
q(x)=cos(x) is an even function since cos(-x)=cos(x).
r(x)=tan(x) is an odd function since tan(-x)=-tan(x).
s(x)=csc(x) is an odd function since csc(-x)=-csc(x).
So the only contender seems to be C.
Let's check. To check we have to plug in (-x) in place of (x) and see if we get the same function back since we are looking for an even function.
Replace (x) with (-x):
since cosine is even; that is cos(-u)=cos(u) where u in this case is 
.
So f is even.
-10x+7x=-3x
3x+1=37
(-1) (-1)
3x=36
(Divide by 3 each side)
3x divided by 3= x
36 divided by 3 = 6
Answer: x=6
Answer:
126.
Step-by-step explanation:
This is the number of combinations of 4 cards from 9 cards:
= 9C4
= 9! / 4! 5!.
A quick way of calculating this is
9*8*7*6
----------- = 9*2*7 = 126 combinations.
4*3*2*1
Answer: 192
Step-by-step explanation: 24 • 8
Answer:
there is no greatest load
Step-by-step explanation:
Let x and y represent the load capacities of my truck and my neighbor's truck, respectively. We are given two relations:
x ≥ y +600 . . . . . my truck can carry at least 600 pounds more
x ≤ (1/3)(4y) . . . . . my truck carries no more than all 4 of hers
Combining these two inequalities, we have ...
4/3y ≥ x ≥ y +600
1/3y ≥ 600 . . . . . . . subtract y
y ≥ 1800 . . . . . . . . multiply by 3
My truck's capacity is greater than 1800 +600 = 2400 pounds. This is a lower limit. The question asks for an <em>upper limit</em>. The given conditions do not place any upper limit on truck capacity.
