1 year ago

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 11 roots?

Mathematics

1 answer:

kondor19780726 [428]1 year ago

5 0

Answer:

B f (x) = (x + 2) cubed (x squared minus 7 x + 3) Superscript 4

Step-by-step explanation:

idk i guess i got it right so there

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Sam takes a job with a starting salary of $50,000 for the first year. He earns a 4% increase each ear. Which expression gives th

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1 year ago

Gary used landscape timbers to create a border around a garden shaped like a right triangle. The longest two timbers he used are

Cloud [144]

Answer:

9 feet

Step-by-step explanation:

Given:

The border of the garden is a right angled triangle.

Two lengths are given as 12 ft and 15 ft.

Let the length of the shortest timber be 'x' feet.

Now, in a right angled triangle, the longest length is called the hypotenuse.

As 15 feet is the largest length, it is the hypotenuse of the triangle. Now, applying Pythagoras theorem, we get:

$(Leg1)^2+(Leg2)^2=(Hypotenuse)^2\\x^2+12^2=15^2\\x^2+144=225\\x^2=225-144\\x^2=81\\x=\pm \sqrt{81}=\pm 9$

The negative value is neglected as length can never be negative.

Therefore, the length of the shortest timber is 9 feet.

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2 years ago

A bag contains one red pen, four black pens, and three blue pens. two pens are randomly chosen from the bag and are not replaced

bagirrra123 [75]

8 total pens....4 are black

first pick, probability of being black is 4/8
2nd pick. without replacing, probability is 3/7

probability of a black pen picked first and then another black pen picked again is : 4/8 * 3/7 = 12/56 = 0.21

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1 year ago

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tara paints 12 wall in 4 hour. she has 3 wall left to paint how long do you think that it will take her to paint the 3 remaining

Pavel [41]

12 divided by 4 equals to 3
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the answer is : the remaining wall will take her 1 hour to paint

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1 year ago

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A random sample of 64 students at a university showed an average age of 25 years and a sample standard deviation of 2 years. The

satela [25.4K]

Answer:

The correct option is;

d. 24.2 to 25.6

Step-by-step explanation:

Here we have a sample with unknown population standard deviation, we therefore apply the student t distribution at 64 - 1 degrees of freedom

Therefore, we have

$CI=\bar{x}\pm t\frac{s}{\sqrt{n}}$

Where:

$\bar x$ = Mean = 25

σ = Standard deviation = 2

n = Sample size = 64

t = T value at 98% = $\pm 2.387$

Which gives

$CI=25\pm t_{63}\frac{2}{\sqrt{64}}$

That is the value is from

24.40325 to 25.59675 which gives,by rounding to one decimal place, is

24.4 to 25.6.

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1 year ago