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ASHA 777 [7]
3 years ago
13

According to the rational root theorem, which is a factor of the polynomial f(x)=3x^3-5x^2-12x+20?

Mathematics
1 answer:
MakcuM [25]3 years ago
4 0

Answer:

(x-2), (x+2), (3x-5)

Step-by-step explanation:

Factors of 3: ±1, ±3

Factors of 20: ±1, ±2, ±4, ±5, ±10, ±20

Possible factors of the polynomial: ±1, ±2, ±3, ±4, ±5, ±10, ±20, .... (there's a lot more but you probably do not need to list them all)

Pick a number to divide the polynomial by (I picked 2)

(3x³-5x²-12x+20)÷(x-2) = 3x²+x-10

So (x-2) is a factor of f(x) = 3x³-5x²-12x+20

Factor 3x²+x-10 = (3x-5)(x-2) these are the other factors of f(x) = 3x³-5x²-12x+20

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List of subsets of each set {1,3,5,7}
agasfer [191]

ANSWER

{},{1},{3},{5},{7},{1,3},{1,5},{1,7},{3,5},{3,7},{5,7},{1,3,5},{1,3,7},{3,5,7},{1,5,7},{1,3,5,7}

EXPLANATION

The given set is {1,3,5,7}.

This set has

{2}^{n}  =  {2}^{4}  = 16

subsets.

Where n=4 is the number of elements in the set.

Recall that the null set is a subset of every set and every set is a subset of itself.

The subsets are:

{}

{1},{3},{5},{7}

{1,3},{1,5},{1,7},{3,5},{3,7},{5,7}

{1,3,5},{1,3,7},{3,5,7},{1,5,7}

{1,3,5,7}

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Find the radius of a circle whose circumference is 31.4 centimeters. Approximate Π as 3.14.
sladkih [1.3K]

The circumference of every circle is   (pi) times (diameter).

The diameter is (2 x radius), so we can write

                  Circumference = (pi) x (2 x radius) .

The question gives us the circumference, and the number to use for (pi).
I shall now pluggum in:

                  (31.4 cm)  =  (3.14) x (2 x radius)

Divide each side by  3.14:       (31.4 cm)/(3.14)  =  2 x radius

Divide each side by 2 :            (31.4 cm) / (2 x 3.14)  =  radius

                                                             5 cm  =  radius 
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3 years ago
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Bryan has a square parcel of land that is 120 yards long and 120 yards wide. The land is planted with Bermuda grass and surround
Mekhanik [1.2K]
The diagonal fencing will be the hypotenuse of a right triangle with sides 120yds long so:

h=√2(120^2))

h=√28800 yd

And the surrounding fencing will just be four times the side length of 120yds so:

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So the total fencing needed is:

f=480+√28800 yards

f≈649.71 yd  (to nearest hundredth of a yard)  which is

f≈650 yds  (to nearest whole yard)

But, I wasn't sure, if they just want the diagonal fencing needed then it is just:

f=√28800

f≈170 yds  (to nearest yard)


6 0
3 years ago
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