Answer:
f(-x) = -4x^3 + 9x, f(x) is an odd function
Step-by-step explanation:
We are given that f(x) = 4x^3 - 9x. In order to solve this problem, we first need to understand what an odd function is and what an even function is. When we have an odd function, f(-x) = -f(x). Meaning, that if we plug -x in for x, we should get -f(x). On the other hand, with an even function, f(-x) = f(x). Even if you change the sign, when you simplify, you will get back the same function. In either case, we have to first find f(-x) to figure this problem out:
We can see from our answer for f(-x) that it is equal to -f(x). We can verify this below:
Since f(-x) = -f(x), our function f(x) is an odd function
A) L = 5 * W
B) L * W = 320
Substituting A) into B)
B) 5 * W * W = 320
5W^2 = 320
W^2 = 64
Width = 8
Length = 40
Answer:
A segment whose length is 9 units.
Step-by-step explanation:
A segment whose length is 9 units.
All we have is a bisection that divides equally segment JK in two parts. And M is the Midpoint what reassures us that JM=MK, so plugging in:
3x+15=8x+25
3x-8x=25-15
-5x=10
5x=-10
x=-2
JM=3(-2)+15 =9
MK=8(-2)+25=9
Answer:
A) Neither
Step-by-step explanation:
If two lines have same slope then they are parallel lines
If slope of line1* slope of line 2 = -1
The the two lines are perpendicular
In this question slope of line = 2\7
Slope of line 2 = 7\2
Answer:
b.
Step-by-step explanation:
The slant asymptote will only exist if the degree of the top is one more than the degree of the bottom.
Here it is the other way around.
The degree of the top is 2.
The degree of the bottom is 3.
So there is no slant asymptote.
There will be a horizontal asymptote when the degree of the bottom is more than or equal to the degree of the top.
When the degrees are equal, the horizontal asymptote will be
y=(leading coefficient of top)/(leading coefficient of bottom).
Since the degree is more on bottom than the degree on top, then the horizontal asymptote is y=0.
The answer is b, then.