Which of the following correctly describes the graph of this function?
Which of the following correctly describes the graph of this - 1

Answers

Answer 1
Answer:

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.


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Which of the following describes the roots of the polynomial function f(x)=(x-3)*(x+6)²?-3 with multiplicity 2 and 6 with multiplicity 4
-3 with multiplicity 4 and 6 with multiplicity 2
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O3 with multiplicity 4 and -6 with multiplicity 2

Answers

Final answer:

The roots of the polynomial function f(x)=(x-3)*(x+6)² are 3 and -6.


Explanation:

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.


Learn more about Polynomial roots here:

brainly.com/question/31214281


Rita earns $18.00 per hr. If she gets a 6% raise, what will be her new hourly wage?

Answers

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

Factor the polynomial below X cubed +12 X squared +36X

Answers

I’m sorry but I have no idea

Miko has a vast collection of books in her library. English books make up 3
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?

Answers

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.

Ratio proportion;

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:

\rm Remaining\ books=1-(3)/(8)\n \n Remaining\ books=(8-3)/(8)\n\n Remaining\ books=(5)/(8)

Then,

Chines books = ratio of Chinese book × ratio of remaining books × Total books

\rm 75=(5)/(7)* (5)/(8)* Total \ books\n\nTotal \ books =(75 * 7* 8)/(5* 5)\n\nTotal \ books =3* 56\n\nTotal \ books=168\n

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.

brainly.com/question/12674321

Answer:

168 books

Step-by-step explanation:

Given

English = (3)/(8)

Chinese = (5)/(7) 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:

Remaining = 1 - English

Remaining = 1 - (3)/(8)

Take LCM

Remaining = (8 - 3)/(8)

Remaining = (5)/(8)

From the question, we understand that:

Chinese = (5)/(7) of the remaining books

This means:

Chinese = (5)/(7) * (5)/(8)

Chinese = (5*5)/(7*8)

Chinese = (25)/(56)

From the question, we also understand that 75 are Chinese books.

The total number of books can then be calculated using:

Chinese = (25)/(56) * Total

Substitute 75 for Chinese

75 = (25)/(56) * Total

Make Total the subject:

Total = (56 * 75)/(25)

Total = (4200)/(25)

Total = 168

A 30-ft. ladder makes an angle of 60 degrees with the horizontal when it reaches a given spot on a wall. What angle will a 35-ft. ladder make the horizontal if it reaches the sample spot?

Answers

The angle will a 35-ft. ladder make the horizontal if it reaches the sample spot is sin^(-1)(47.93).

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.

sin\theta = (h)/(30) \nsin60 = (h)/(30) \n

h = 30sin60

Then, the angle will a 35-ft. ladder make the horizontal if it reaches the sample spot.

sin\alpha = (30sin60)/(35)\nsin\alpha = (6 sin60)/(7) \n\alpha = sin^(-1)(47.93)

Hence, The angle will a 35-ft. ladder make the horizontal if it reaches the sample spot is sin^(-1)(47.93)

For more information about Trigonometry click the link given below.

brainly.com/question/19515865

So first you must find the height at which the "spot" is where the ladder touches the wall...

sin60=h/30

h=30sin60

Now we can find the angle that the 35 ft ladder make when it touches the same spot.

sinα=h/35  and using h we found earlier...

sinα=(30sin60)/35

α=arcsin[(30sin60)/35]

α≈47.93  (α≈47º55'42")

Which number produces an irrational number when added to? 3\4

Answers

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

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