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VMariaS [17]
2 years ago
7

The graph of f(x) = x6 – 2x4 – 5x2 + 6 is shown below. On a coordinate plane, a graph of a function is in all four quadrants. It

has 2 minimum curves at (1. 5, negative 4) and (1. 5, negative 4). It has a maximum curve at (0,6) and crosses the x-axis 4 times. How many roots of f(x) are rational numbers? 1 2 4 6.
SAT
1 answer:
kondaur [170]2 years ago
7 0

Answer:

There are two rational roots for f(x)

Explanation:

We are given a function

f(x) = x^6-2x^4-5x^2+6f(x)=x6−2x4−5x2+6

To find the number of rational roots for f(x).

Let us use remainder theorem that when

f(a) =0, (x-a) is a factor of f(x) or x=a is one solution.

Substitute 1 for x

f(1) = 1-2-5+6=0

Hence x=1 is one solution.

Let us try x=-1

f(-1) = 1-2-5+6 =0

So x =-1 is also a solution and x+1 is a factor

We can write f(x) by trial and error as

f(x) = (x-1)(x+1)(x^2-3)f(x)=(x−1)(x+1)(x2−3)

We find that f(x) (x^2-3)f(x)(x2−3) factor gives two irrational solutions as

±√3.

Hence number of rational roots are 2.

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With the use/abuse of alcohol the heart is less efficient.
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Explanation:

because it is overloading the heart with a non regular item.

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Choose which word best answers the question. What would you find in un escritorio? una pizarra un cuaderno una mochila un reloj.
Anvisha [2.4K]

Answer:

You would find papers in Un escritorio (desk)

Chalk in una pizarra (blackboard)

Writing in un cuaderno (journal)

Items in una mochila (bag)

Numbers/ the time on un reloj (clock)

7 0
2 years ago
Which situation would most likely be covered by long term disability insurance brainly
Karo-lina-s [1.5K]

Answer:

the Long term disability insurance protects you during lengthy of disability when you’re unable to work (for example, if you are injured.) It is sometimes described as income replacement insurance, as it will pay you a monthly amount that replaces your regular paycheck while you are not working.

Explanation:

hope this helps if not let me know

3 0
2 years ago
At a football game, the ratio of filled seats to empty seats was 7 to 3. The capacity of the stadium is 70,580. How many seats w
UkoKoshka [18]

The number of seats in the stadium that were filled for the game is equal to 49,406 seats.

  • Let the filled seats be F.
  • Let the empty seats be E.

<u>Given the following data:</u>

  • Stadium capacity = 70,580.
  • Ratio of F to E = 7:3
  • Total ratio= 7 + 3 = 10

To determine the number of seats in the stadium that were filled for the game:

Mathematically, the number of filled seats in the stadium is given by this expression:

F = \frac{7}{10} \times 70580\\\\F=0.7 \times 70580

F = 49,406 seats.

Read more on ratio here: brainly.com/question/13513438

4 0
2 years ago
in the song, 25 percent of the class weighed less than 6 pounds, 1 ounce at birth. 6 pounds, 1 ounce is the
Talja [164]

Based upon the given case, the 6 pounds 1 ounce is taken as Lower Quartile. Thus, option C is correct.

<h3>What are quartiles?</h3>

The quartiles can be understood as the division of the numbers or data into group of four or less or more, but in equal quartile size.

Lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.

Therefore, for 6 pounds, 1 ounce the correct option is C.

Learn more about quartiles here:

brainly.com/question/9260741

#SPJ1

8 0
2 years ago
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