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pshichka [43]
2 years ago
5

What is (27/8)^-2/3 ?

Mathematics
1 answer:
Paraphin [41]2 years ago
7 0

Answer:

Step-by-step explanation:

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Given a leading coefficient of 8, polynomial roots of 1 & 2, and the known point on the graph (4,5). Write an equation that
m_a_m_a [10]

Given:

The leading coefficient of a polynomial is 8.

Polynomial roots are 1 and 2.

The graph passes through the point (4,5).

To find:

The 3rd root and the equation of the polynomial.

Solution:

The factor form of a polynomial is:

y=a(x-c_1)(x-c_2)...(x-c_n)

Where, a is a constant and c_1,c_2,...,c_n are the roots of the polynomial.

Polynomial roots are 1 and 2. So, (x-1) and (x-2) are the factors of the polynomial.

Let the third root of the polynomial by c, then (x-c) is a factor of the polynomial.

The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:

y=8(x-1)(x-2)(x-c)

The graph passes through the point (4,5). Putting x=4,y=5, we get

5=8(4-1)(4-2)(4-c)

5=8(3)(2)(4-c)

5=48(4-c)

Divide both sides by 48.

\dfrac{5}{48}=4-c

c=4-\dfrac{5}{48}

c=\dfrac{192-5}{48}

c=\dfrac{187}{48}

Therefore, the 3rd root on the polynomial is \dfrac{187}{48}.

8 0
2 years ago
Regular pentagon RSTUV has sides that are half the length of regular pentagon JKLMN.
Andrew [12]

Answer:

c

Step-by-step explanation:

7 0
2 years ago
Henry can write 5 1/4 pages of his novel in 3 hours how many page can he write in 8 hours
ICE Princess25 [194]
If you would like to know how many pages can Henry write in 8 hours, you can calculate this using the following steps:

5 1/4 = 21/4 pages ... 3 hours
x pages = ? ... 8 hours

21/4 * 8 = 3 * x
21 * 2 = 3 * x
3 * x = 42
x = 42 / 3
x = 14 pages

Henry can write 14 pages of his novel in 8 hours.
8 0
3 years ago
A recipe for spaghetti sauce requires 4 bottles of ketchup to make 2 gallons. How many bottles of ketchup are needed to make 10
frosja888 [35]

For 10 gallons of sauce, we need 5 times as required for 2 gallons, therefore we need 4 * 5 = 20 bottles of ketchup.

5 0
3 years ago
Roy planted corn on 1/5of his land. If he planted45 acres of corn, how many acres of land doeshe have?(A) 90(B) 112 (1/2)(C) 135
melisa1 [442]

Correct option is C. He has 225 acres of land .

Let the Number of acres of land Roy have = x

As he planted corn on  1/5  of his land,

Number of acres of his land planted with corn =  1/5  × Number of acres of land Roy have

=  x/5

As he planted 45 acres of his land with corn,

⇒ x/5​

 = 45

⇒x = 45 × 5

⇒x = 225

Therefore, number of acres of land Roy have is   225  .

To learn more about fraction from given link

brainly.com/question/78672

#SPJ4

4 0
2 years ago
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