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Sergio039 [100]
3 years ago
7

Mr.Rice needs To replace the 166.25 feet of edging on the flower bed in his backyard. The edging is sold in lengths of 19 feet.

How many lengths of edging will Mr. Rice need to purchase
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
8 0
He would need 9 lenghts because 166.25 divided by 19 is 8.75. 
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Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3−
Neko [114]

Answer:

P(x) = x^3 - 10x^2+ 34x-40

Step-by-step explanation:

Given

p =1 -- Leading coefficient

Zeros: 4\ and\ 3  - i

Required

Determine the polynomial

Represent the zeros with a and b

Such that

a = 4

b = 3 - i

The polynomial is:

P(x) = p * (x - a) * (x - b)

P(x) = 1 * (x - 4) * (x - (3 - i))

However, to solve further: We need to symmetrise over 3-i  and its conjugate

P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))

P(x) =  (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\

To define a suitable function, the expression becomes

P(x) =  (x - 4) * ((x - 3)^2+1)

P(x) =  (x - 4) * ((x - 3)(x - 3)+1)

P(x) =  (x - 4) * (x^2 - 6x + 9+1)

P(x) =  (x - 4) * (x^2 - 6x +10)

Open bracket

P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40

P(x) = x^3 - 6x^2  - 4x^2+10x + 24x-40

P(x) = x^3 - 10x^2+ 34x-40

5 0
3 years ago
Carmen rides her bicycle at a constant rate to the market. When she rides her bicycle back home along the same route, she bikes
prisoha [69]
We will use the equation:
r t = 3/4 r ( t+12 )    /:r
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t - 3/4 t = 9
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The ride home takes 48 minutes.
7 0
3 years ago
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n200080 [17]

Answer:

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Step-by-step explanation:

Let me know if this help's you lol :)

6 0
3 years ago
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In a video game,a guppy that escapes a net turns into three goldfish.Each goldfish can turn into two betta fish.Each betta fish
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If g=guppy, go=goldfish, b=bettafish and a=angelfish we can set up expressions for each set of fish.
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3 years ago
Choose True or False for each statement.
Leviafan [203]

Answer:

a and c

Step-by-step explanation:

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