Answer:
number first is the answer
Odd functions are those that satisfy the condition
f(-x)=-f(x)
For example, check if x^3 is odd =>
f(x)=x^3
f(-x) = (-x)^3
-f(x)=-x^3
Since (-x)^3=-x^3, we see that f(x)=x^3 is an odd function.
In fact, polynomials which contain odd-powered terms only are odd. (constant is even)
As an exercise, you can verify that sin(x) is odd, cos(x) is even.
On graphs, odd functions are those that resemble a 180 degree rotation.
Check with graphs of above examples.
So we identify the first graph (f(x)=-x^3) is odd (we can identify a 180 degree rotation)
Odd functions have a property that the sum of individually odd functions is
also odd. For example, x+x^3-6x^5 is odd, so is x+sin(x).
For the next graph, f(x)=|x+2| is not odd (nor even) because if we rotate one part of the graph, it does not coincide with another part of the graph, so it is not odd.
For the last graph, f(x)=3cos(x), it is not odd, again because if we rotate about the origin by 180 degrees, we get a different graph. However, it is an even function because it is symmetrical about the y-axis.
M < 105° and m < (10x + 15)° have the same measure because they are alternate interior angles that do not have a common vertex on alternate sides of the transversal. Since they have the same measure, we can solve for x:
m < 105° = m < 10x° + 15 °
Subtract 15 from both sides:
m < 105° - 15° = 10x°
90° = 10x°
Divide both sides by 10 to solve for x:
90°/10 = 10x/10
9° = x
Therefore, the value of x = 9°
Substitute this value into m < (10x + 15)° to find its true measure:
10(9) + 15 = 90 + 15 = 105°
This proves my statements earlier that m < 105° has the same measure as m < (10x + 15)°
The correct answer is x = 9°
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Answer:
I think the answer is B. Am not sure
Answer:
A blood bank needs 9 people to help with a blood drive. 12 people have volunteered. Find how many different groups of 9 can be formed from the 12 volunteers.
Step-by-step explanation:
A blood bank needs 9 people to help with a blood drive. 12 people have volunteered. Find how many different groups of 9 can be formed from the 12 volunteers.
