Dimetri says that a function that is made of terms where the variable is raised only to an odd power will be an odd function. Do you agree with Dimetri? Explain why or why not.
Answers
Explanation:
Algebraically, an odd function is one where f(-x) = -f(x). This means that if we substitute -x for every x in the function, it should be the same as switching every sign in the function. This does not always work.
For example, if f(x)=x³+7:
f(-x)=(-x)³+7=-x³+7.
However, since the 7 did not become -7, it is not the same as -f(x), so it is not an odd function.
Dimetri statement is incorrect, as the function is odd if its greatest degree is odd when the lower terms are ignored.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
As we know,
For even function: f(-x) = f(x)
For odd function: f(-x) = -f(x)
If Dimetri says that, a function that is made of terms where the variable is raised only to an odd power will be an odd function.
The Dimetri statement is incorrect, as the function is odd if its greatest degree is odd when the lower terms are ignored.
Thus, Dimetri statement is incorrect, as the function is odd if its greatest degree is odd when the lower terms are ignored.
Learn more about the function here:
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Answers
Answer:
1st, 2nd and 6th options
Step-by-step explanation:
Given
- x +
= 6x ( multiply through by 6 to clear the fractions )
4 - 6x + 1 = 36x ← option 1 will have the same solution set
----------------------------------------------------------------------
Adding the 2 fractions on the left side gives
+
- x = 6x , that is
- x = 6x ← option 2 will have the same solution set
------------------------------------------------------------------------
From
4 - 6x + 1 = 36x ( add 6x to both sides )
5 = 42x ← option 6 will have the same solution set
Answers
Answers
Answer:
Katie went a distance of 9 miles.
Step-by-step explanation:
To find out how far Katie went when riding her bike for one hour and thirty minutes at an average speed of 6 miles per hour, you can use proportions.
First, you need to convert one hour and thirty minutes into hours. Since there are 60 minutes in an hour, one hour and thirty minutes is equivalent to:
1 hour + (30 minutes / 60 minutes) = 1.5 hours
Now that you know she rode for 1.5 hours at a speed of 6 miles per hour, you can set up a proportion to find the distance (d):
(1.5 hours / 1 hour) = (d miles / 6 miles per hour)
Now, cross-multiply and solve for d:
1.5 hours * 6 miles per hour = d miles
9 miles = d miles
Answer:
9 mph
Step-by-step explanation:
proportion:
6/1 = x/1.5
use cross multiplication
1(x) = 6(1.5)
x = 9
A) -2
B) -1
C) 0
D) 2
Answers
9=8x+25
-16=8x
X=-2
Answers
Answer:
A)Only Line A is well placed line of best fit
Step-by-step explanation:
Best fit line :A line through a scatter plot of data points that best expresses the relationship between those points is called best fit line
The least-squares method provides the closest relationship between the dependent and independent variables by minimizing the distance between the residuals and the line of best fit
By considering both the given graphs
We can see that Line A gives the minimum distance between residuals and line of best fit whereas Line B does not give the minimum distance between residuals and line of best fit
So,Option A is true
A)Only Line A is well placed line of best fit
Answer: a) only line A is a well placed line of best fit
Step-by-step explanation:
4m + 8n + 4p
4m - 8n - 4p
4m + 8n - 4p
Answers
The answer is D) 4m+8n-4p