Answer: The graph of the function is symmetric about the y-axis.
Explanation:
Symmetric about the y-axis means that the graph can be reflected over, in this case the y-axis, without altering it. Your function is able to do this! I’ve attached a picture of the function so that you can visualize what I wrote.
-3 with multiplicity 4 and 6 with multiplicity 2
O3 with multiplicity 2 and-6 with multiplicity 4
O3 with multiplicity 4 and -6 with multiplicity 2
The roots of the polynomial function f(x)=(x-3)*(x+6)² are 3 and -6.
The polynomial function f(x)=(x-3)*(x+6)² can be factorized as follows:
f(x) = (x-3)*(x+6)*(x+6)
This means that the expression (x-3) represents one of the linear factors of the polynomial, while (x+6) represents a quadratic factor. To find the roots of the polynomial, we set each factor equal to zero and solve for x:
(x-3) = 0 -> x = 3
(x+6) = 0 -> x = -6
Therefore, the roots of the polynomial function f(x)=(x-3)*(x+6)² are 3 and -6.
Answer:
19.06
Step-by-step explanation:
Take her wage and multiply by the percent increase
18*.06 =1.08
Add this to her original wage
18+1.06
19.06 is the new wage
8
of her collection.
5
7
of the remaining books are Chinese books and the rest are German books. How many books are there in her book collection if there are 75 Chinese books?
There are 168 books are there in her book collection if there are 75 Chinese books.
Given
Miko has a vast collection of books in her library.
English books = 3/8
Chinese books = 5/7.
A ratio is a comparison of two or more numbers that indicates their quantities in relation to each other.
The proportion of the English books is 3/8, the remaining is:
Then,
Chines books = ratio of Chinese book × ratio of remaining books × Total books
Hence, there are 168 books are there in her book collection if there are 75 Chinese books.
To know more about proportion click the link given below.
Answer:
168 books
Step-by-step explanation:
Given
of the remaining books
Required
Determine the total number of books
If the proportion of the English books is 3/8, the the remaining is:
Take LCM
From the question, we understand that:
of the remaining books
This means:
From the question, we also understand that 75 are Chinese books.
The total number of books can then be calculated using:
Substitute 75 for Chinese
Make Total the subject:
The angle will a 35-ft. ladder make the horizontal if it reaches the sample spot is .
Given that,
A 30-ft. ladder makes an angle of 60 degrees with the horizontal.
We have to find,
The angle will a 35ft.ladder make the horizontal if it reaches the sample spot.
According to the question,
A 30-ft. ladder makes an angle of 60 degrees with the horizontal when it reaches a given spot on a wall.
h = 30sin60
Then, the angle will a 35-ft. ladder make the horizontal if it reaches the sample spot.
Hence, The angle will a 35-ft. ladder make the horizontal if it reaches the sample spot is
For more information about Trigonometry click the link given below.
Answer:
π
Step-by-step explanation:
Any other irrational number, actually, so √2 would also do the trick.
Answer:
Pi, since pi is irrational
Step-by-step explanation:
Any irrational number, such as √2